Population synthesis modelling of Luminous Infrared Galaxies at intermediate redshift

Population synthesis modelling of Luminous Infrared Galaxies at intermediate redshift

E. Giovannoli Laboratoire d’Astrophysique de Marseille, OAMP, Université Aix-Marseille, CNRS, 38 rue Frédéric Joliot-Curie, 13388 Marseille cedex 13, France
   V. Buat Laboratoire d’Astrophysique de Marseille, OAMP, Université Aix-Marseille, CNRS, 38 rue Frédéric Joliot-Curie, 13388 Marseille cedex 13, France
   S. Noll Institut für Astro- und Teilchenphysik, Universität Innsbruck, Technikerstr. 25/8, 6020 Innsbruck, Austria
   D. Burgarella Laboratoire d’Astrophysique de Marseille, OAMP, Université Aix-Marseille, CNRS, 38 rue Frédéric Joliot-Curie, 13388 Marseille cedex 13, France
   B. Magnelli Max-Planck-Institut für Extraterrestrische Physik (MPE), Postfach 1312, 85741 Garching, Germany.
Key Words.:
galaxies: evolution-galaxies: stellar content-infrared: galaxies

Context:Studying Luminous InfraRed Galaxies (LIRGs) is particularly important in the build-up of the stellar mass from z=1 to z=0, and to determine physical properties of these objects at the redshift 0.7. LIRGs are now identified to play a major role in galaxy evolution from z=1 to 0. The global star formation rate (SFR) at is mainly produced by LIRGs.

Aims: We perform a multiwavelengths study of a LIRGs sample in the Extended Chandra Deep Field South at z=0.7, selected at 24 m by MIPS onboard and detected in 17 filters. Data go from the near-ultraviolet to the mid-infrared. This multiwavelengths dataset allows us to bring strong constraints on the spectral energy distributions (SEDs) of galaxies, and thus to efficiently derive physical parameters as the SFR, the total infrared luminosity, attenuation parameters and star formation history. We distinguish a sub-sample of galaxies detected at 70 m which we compare to the rest of the sample to investigate the relative importance of this wavelength on the determination of the physical parameters. An important part of this work is the elaboration of a mock catalogue which allows us to have a reliability criteria for the derived parameters.

Methods:We study LIRGs by means of a SED-fitting code CIGALE. At first, this code creates synthetic spectra from the Maraston (2005) stellar population models. The stellar population spectra are being attenuated by using a synthetic Calzetti-based attenuation law before the addition of the dust emission as given by the infrared SED library of Dale&Helou (2002). The originality of CIGALE is that it allows us to perform consistent fits of the dust-affected ultaviolet-to-infrared wavelength range. This technique appears to be a very powerful tool in the case where we can have access to a dataset well-sampled over a large range of wavelengths.

Results:We are able to derive a star formation history and to estimate the fraction of infrared luminosity reprocessed by an active galactic nucleus. We study the dust temperatures of our galaxies detected at 70 m and find them colder than predicted by models. We also study the relation between the SFR and the stellar mass and do not find a tight correlation between both, but a flat distribution and a large scatter which is interpreted in terms of variations of star formation history.


1 Introduction

Luminous InfraRed Galaxies (LIRGs) are commonly defined as galaxies whose infrared (IR, 8-1000 m) emission is higher than L and lower than L . In a pionneering work Chary Elbaz (2001) (hereafter CE01), identified them as the main contributor to the cosmic IR background detected by () ; the deep /MIPS (Rieke et al. (2004)) surveys have confirmed that they play a major role in galaxy evolution at intermediate redshift (z=0.5-1). Indeed the IR luminosity function is found to evolve with z and to shift towards higher luminosities when z increases (Le Floc’h et al. (2005), Pérez-González et al. (2005)) ; as a consequence, LIRGs are rare objects in the nearby universe but become the major contributors to the star formation density measured in IR at z=0.5-1 (Le Floc’h et al. (2005), Caputi et al. (2007), Magnelli et al. (2009)). The evolution of LIRGs as a function of z does not only concern their contribution to the luminosity density but also their physical characteristics. Most of the LIRGs populating the local universe are located in systems interacting violently (Ishida (2004)). Conversely, at z 1 only 30 of LIRGs exhibit features linked to violent merging (Bell et al. (2007), Zheng et al. (2007)) : most of them look like bright spirals who experience a secular evolution without violent events. This morphological difference between local and distant LIRGs is corroborated by the analysis of their star formation rate (SFR). Whereas local LIRGs are experiencing a strong starburst, distant LIRGs do not seem to strongly depart from the mean SFR - stellar mass (hereafter ) relation found at z=1 (Elbaz et al. (2007)).

Quite naturally, most of the studies devoted to LIRGs are based on IR data only. Very recently several teams aimed at studying local LIRGs by combining a large set of wavelengths and observations (Burgarella et al. (2005), Kaviraj et al. (2008), Da Cunha (2008)). At higher z such studies are scarcer. Zheng et al. (2007) have combined ultraviolet (UV), optical and IR observations and built mean spectral energy distribution (SEDs) of IR selected galaxies at z=0.7. They are found similar to those of nearby normal galaxies with lower IR luminosities (hereafter , m).

The availability of large datasets of photometric data have lead to a renewal of stellar populations synthesis codes assuming more or less complex star formation histories (SFHs). The combination of galaxy simulations with realistic SED modelling improves our understanding of uncertainties of these fitting methods to estimate SFRs, or population ages (Wuyts et al. (2009), Conroy et al. (2009a), Lee et al. (2009) , Dye (2008)). Anyway, most of these studies only deal with the stellar UV - Near-InfraRed (NIR) SEDs of galaxies. Since LIRGs emit most of their energy in IR we must account for the entire UV-to-IR SEDs to characterise them. Up to now there has been few attempts to combine stellar and dust emissions in the modelling of galaxy SEDs. Stars and dust interact in a very complex way in galaxies and a detailed description of this interplay is not always consistent with a SED-fitting code aimed at studying large samples of galaxies (Dopita et al. (2005)). The GRASIL (GRAphite and SILicate) code (Silva et al. (1998), Panuzzo et al. (2005)) produces UV-to-IR SEDs based on a set of physical processes; Iglesias-Páramo et al. (2007) used GRASIL to generate a synthetic library of galaxy SEDs and fit a multiwavelengths dataset of UV selected galaxies from z=0.2 to 0.7. Da Cunha et al. (2008) developed a physically motivated model combining three IR components to the stellar populations synthesis code of Bruzual Charlot (2003). Burgarella et al. (2005) and Noll et al. (2009b) followed a similar approach and proposed a code which calculates the effect of dust on galaxy SEDs in a consistent way; the code is versatile enough to be used at different redshifts and with different SFHs. All these codes which combine stellar and dust populations are very efficient to constrain dust attenuation on the basis of an energetic budget : the IR dust emission originates from the stellar light absorbed in the UV-NIR part of the spectrum. In this paper we apply a multiwavelengths analysis from the far-ultraviolet (FUV) to the IR, based on SED-fitting, on a sample of z=0.7 LIRGs selected at 24 m. Our analysis is based on the code CIGALE (Code Investigating GALaxy Emission 111Web address to use CIGALE : http://www.oamp.fr/cigale/) (Noll et al. (2009b)). It is the first application of this code to intermediate redshift galaxies mostly emitting in IR. Our aim is to study this galaxy sample, representative of LIRGs at intermediate redshift, in a very homogeneous and systematic way to determine the main characteristics of their stellar populations and dust emission. We will re-visit dependance of the dust temperature (deduced from the IR SED) on and the SFH of these galaxies.

In section 2 we describe the sample and the multiwavelengths dataset. In section 3 we summarize the main characteristics of the CIGALE code and its application to our sample, in particular we build a mock catalogue to test the code performances. The results of the SED-fitting to the LIRGs sample are presented in section 4. Section 5 is devoted to a discussion of these results in the framework of the temperature-luminosity relation and the specific SFRs of LIRGs at z=0.7 which will be compared to model predictions.

We adopt an H=70 km s Mpc, =0.3, = 0.7 cosmology throughout this paper.

2 The sample and data

The Chandra Deep Field South (CDFS, Giacconi et al. (2002)) is one of the most intensely studied regions of the sky, with observations stretching from the X-ray to the radio, including UV, optical, IR, and submillimeter imaging, from space-based as well as the largest terrestrial observatories. The region of the CDFS (=3h32m00s, =-27 35’ 00”, J2000.0) was observed with the MIPS instrument on board the (Werner et al. (2004)) in 2004 January as part of the MIPS Guaranteed Time Observing programmeme.

Le Floc’h et al. (2005) used the 2955 sources detected at 24 m by MIPS with flux at 24 m 83Jy at the 80 completeness limit (Papovich et al. (2004)) to build the IR luminosity function from z=1 to 0. Photometric redshifts from COMBO-17 (Classifying Objects by Medium-Band Observations in 17 filters, Wolf et al. (2004) ) were used for sources at z (see Le Floc’h et al. (2005) for more details). Buat et al. (2007a) selected a subsample of 190 LIRGs at 0.6z0.8 and measured the near ultraviolet (NUV) emission of these galaxies on deep () images. 80 of the 190 LIRGs were detected at NUV. The four IRAC bands (3.6m, 4.5m, 5.8m and 8.0m) are also available for these sources (N. Bavouzet, private communication). The optical-to-NIR photometry was taken from a K-selected catalogue of the ECDFS( Extended CDFS, =3h32m00s, =-27 48’ 00”) as part of the multiwavelengths Survey by Yale-Chile (MUSYC, Taylor et al. (2009) 222MUSYC collaboration : http://www.astro.yale.edu/MUSYC/). This catalogue consists of photometry derived from U, U38, B, V, R, I, z’, J, H and K, imaging for approximately 80 of the field. The 5 flux limit for point-sources is =22.0.

We cross-correlate sources selected by Buat et al. (2007a) and detected at 24 m with MUSYC data using a tolerance radius of 2”. When a double match is found, we select the closest object. We ignore the case where three or more optical sources can be associated with a given 24 m detection and thus eliminate 9 objects from the 190 sources. At the end we are left with 181 galaxies whose 150 have a NUV detection (Table 1) with a mean redshift of 0.70 +/-0.05. For the 31 objects not detected in NUV a mean redshift of 0.72 +/- 0.05 is found.

The ECDFS was observed with the MIPS instrument as part of the FIDEL (Far-Infrared Deep Extragalactic Legacy Survey, PI : Dickinson) legacy programmeme . For the 70 m data, we used the catalogue from Magnelli et al. (2009) . Detection limit for 70 m sources in this field is 3.5 mJy (5 ). We refer to this paper for more details about the source extraction, photometry and completeness of the catalogue. We cross-correlated our 181 objects with FIDEL data thanks to their IRAC ( Fazio et al. (2004)) positions, with a a tolerance radius of 2”. Finally 62 galaxies were detected at 70 m (Table 1), with a mean redshift of 0.68 +/- 0.04.

The fraction of MIPS sources showing evidence for the presence of an Active Galactic Nucleus (AGN) in their optical counterparts is less than 15 according to the VIMOS (VLT Deep Survey) and COMBO17 classifications. Synthetic models connecting the X-ray and IR SED of AGN indicate that the emission arising from pure AGNs should be negligible (i.e., 10) in high redshift sources detected at 24 m ( Silva et al. (2004)). To have more precision about the possible fraction of AGN in our sample we use a diagnostics colour-colour given by Stern et al. (2005) and the diagnostics of the mid-IR (MIR) slope of Brand et al. (2006) (see section 3.3) ; we also use a specific output of the code CIGALE (see section 4.2). These studies will be described later in this paper.

We decide to distinguish our SED-fitting analysis between the sub-sample detected at 70 m and the whole sample. Hereafter we will use ’ 70 m sample’ for galaxies detected at 70 m and ’total sample’ for the whole set of galaxies.

Filters Wavelength Instrument-Survey Galaxies detected
Mid-IR, IR
MIPS 1 24 m MIPS/Spitzer - FIDEL 181
MIPS 2 70 m 62
IRAC 1 3.6 m IRAC-GTO Spitzer 177
IRAC 2 4.5m 161
IRAC 3 5.8m 177
IRAC 4 8.0m 161
UV - Optical
U 0.35 m MUSYC 179
U38 0.36 m 180
B 0.46 m 181
V 0.54 m 181
R 0.65 m 181
I 0.87 m 181
z 0.90 m 181
J 1.2 m 180
H 1.6 m 155
K 2.1 m 181
NUV 2310 Å GALEX-DIS 150
Table 1: The observed data : wavelengths corresponding to the filters identification of instrument and survey. Our sample contains 181 galaxies of which 62 are detected at 70 m.

3 SED-fitting techniques : description of the code CIGALE

The best way to derive physical parameters like the SFH is to fit the observed SED with models from a stellar populations synthesis code. We use the code CIGALE which provides physical informations about galaxies by fitting their UV-to-IR SED. A first version of the code was developed by Burgarella et al. (2005) to reproduce the dust-attenuated stellar emission from the FUV to the NIR. could be provided as an input parameter only. Hence, Noll et al. (2009b) especially extended the code to the far-IR (FIR) by the consideration of dust emission models to allow a consistent treatment of dust effects on galaxy SEDs. A Bayesian-like analysis is used to derive galaxies properties and Noll et al. (2009b) applied it to local galaxies. This work represents the first attempt to apply CIGALE on galaxies at intermediate redshift. CIGALE is based on the use of a UV-optical stellar SED plus a dust IR emitting component. First , UV-to-IR models are built and secondly, these models are fit to the observed SEDs. Practically the code fits the observed data in the UV, optical and NIR with models generated with a stellar populations synthesis code, assuming a SFH and a dust attenuation scenario as input. The energetic balance between dust-enshrouded stellar emission and re-emission in the IR is carefully conserved in combining the UV/optical and IR SEDs. The IR SEDs are built from the Dale Helou (2002) templates (hereafter DH02). We refer the reader to Noll et al. (2009b) for more details.

In the following we will describe parameters crucial to this study. The input parameters values are listed in Table 2 .

3.1 Stellar populations and star formation histories

In its current version CIGALE provides two stellar populations synthesis models : Maraston et al. (2005) (hereafter M05) and PEGASE ( Fioc Rocca-Volmerange (1997)). Both include a treatment of thermally pulsating asymptotic giant branch (TP-AGB) stars but in a different way. For instance, in M05 models young stellar populations are modelled with the Geneva stellar evolutionary tracks, while the Padova tracks are used in PEGASE.

TP-AGBs are particular important for a reliable determination at high z (M05). The difference between PEGASE and M05 models lies in the weight given to the TP-AGBs. Their contribution will be systematically higher in M05 models. Models which do not consider enough TP-AGB need a massive contribution of old stars in order to match the observed NIR fluxes and thus overestimate (M05). In a recent work Tonini et al. (2009) found that the use of PEGASE does not reproduce IRAC luminosities for nearly passive and star-forming galaxies around z 2. For these reasons we decide to use the M05 models.

Two stellar components have been found necessary to reconstruct more accurate SFRs in actively star forming galaxies (e.g Erb et al. (2006); Lee et al. (2009)). CIGALE uses the single stellar populations of M05 and combines two stellar populations to reproduce an old and a young stellar population. M05 models assume SFH with exponentially decreasing SFR : and represent the e-folding time of the old and young stellar population, respectively. The SFR is expressed as follow:


and represent the age of the old and the young stellar population and SFR and SFR are the values of the SFR at t=t and t=t, respectively.

We study a sample of LIRGs lying at z=0.7. At this redshift the universe was 7 Gyr old with our cosmology, so it makes no sense to consider a range up to more than 7 Gyr for the ages of both stellar populations. After several tests we realized that we cannot make a precise estimate of the e-folding time of the young stellar population, so we only consider a SFR constant over the time. We decide to fix the age of the old stellar population =7 Gyr and we suppose 3 possibilities for : = 1,3 or 10 Gyr. We choose in the range 0.025 to 2 Gyr and we consider = 20 Gyr which corresponds to a burst constant over this time-scale.

The two SFH components are linked by their mass fraction. The fraction of the young stellar population (hereafter ) corresponds to the fraction of the young stellar population mass over the total mass and is thus comprised between 0 and 1. We chose values of in this interval to allow the choice of the best fitting value, as we do not have any prescription for this parameter. CIGALE gives an instantaneous value of logSFR as an output, defined as log [(1-)*SFR + *SFR]. In the following, any occurrence to the SFR will refer to this formula.

Figure 1: Scenario of SFH : two bursts, one for the old stellar population having a moderate e-folding time and one for the young stellar population constant over time.

3.2 Dust attenuation and infrared emission

To modelise the attenuation by dust, the code CIGALE uses attenuation law of Calzetti et al. (2000) as a baseline, and offers the possibility to vary the attenuation law and to add a bump. We decide to reproduce a pure Calzetti law and to add no bump. The stellar population models have to be attenuated before the IR emission can be added depending on the dust-absorbed luminosity. The code allows to consider that young and old stars are not affected by dust in the same way. Dust attenuation in the V band, , and the dust reduction factor are used for the young and the old stellar population respectively. The stellar light heats the dust which reemits the energy in MIR and FIR. At these wavelengths we have few available data to reconstruct the SED. To fit IR observations CIGALE uses semi-empirical one-parameter models of DH02 composed of 64 templates. These models are parametrised by , the power law slope of the dust mass over heating intensity, defined as follows :


where is the dust mass heated by a radiation field at intensity U ; is directly related to / ratio flux, where and represent fluxes of the SED at 60 and 100 m, respectively.

DH02 provide SEDs corresponding to different exponents , which is a free parameter only for the 70 m sample. The total sample only has 24 m fluxes, so we take the median value of found by the code for the 70 m sub-sample. We choose in the interval [1 ; 2.5] to cover a large domain of activity (the activity increases as decreases).

3.3 Active galactic nuclei contribution

LIRGS have large corresponding to an active phase of dust enshrouded star formation and/or AGN activity. The energetic balance between dust-enshrouded stellar emission and re-emission in the IR can be violated if dust emission caused by an AGN is present. In particular, highly dust-eshrouded AGNs represent a problem since they are difficult to identify in the UV and optical. Consequently, galaxies with such an AGN contribution may look like normal star-forming galaxies in the FUV-to-NIR wavelength range excepting a warm/hot dust emission in the MIR.

In this paper we are interested in the building by LIRGs. Therefore it is essential to separate the contribution of AGN and starbursts to . The AGN contribution is likely to be dominant at only very high luminosity ( L, Sanders Mirabel (1996)). Nevertheless, a small fraction of the total IR luminosity can be due to the presence of an AGN even in star-formation dominated cases (e.g. Genzel et al. (1998)).

To disentangle IR dust emission components caused by stellar and AGN radiation, we apply the diagnostics of Stern et al. (2005) to our observations. They combine spectroscopic observations with MIR observations of nearly 10000 sources at 0 z 2 and show that MIR photometry provides a robust technique for especially identifying broad-line AGN (90 of broad-line AGN and 40 of narrow-line AGN are identified).

Fig. 2 shows the colour-colour distribution proposed by Stern et al. (2005) in the NIR. The dashed lines represent the boundary of the area which characterise AGN features. 15 of the objects are found within this area. However these colour criteria may omit AGNs at z 0.8 and 2 ( Stern et al. (2005)).

Figure 2: Color-color diagram preconized by Stern et al. (2005) to identify AGN candidates. We compare the color [3.6-4.5] versus [5.8-8.0] in AB magnitudes for our LIRGs; the area defined by the dashed lines represents the region of the color-color diagram populated by AGN.

We also use the diagnostics of Brand et al. (2006) who examinate the MIR slope of the SEDs for their sample. corresponds to the observed flux ratio logmm. The MIR slope is supposed to be steeper for starburst-dominated sources. Brand et al. (2006) assume that sources (z0.6) with peaking at 0.0 and 0.5 are AGN- and starburst-dominated, respectively. Fig. 3 shows the flux ratio for the total sample. For the vast majority of objects is found around 0.5 (17 satisfies 0.0) which lets us think that starbursts dominate the MIR emission of our sample. We overplot in black the histogram of the objects previously identified as AGNs by Stern et al. (2005). We find that they are not necessarily identified by Brand et al. (2006).

Figure 3: The empty histogram illustrates the flux ratio = log for the total sample. The black histogram shows the galaxies identified as AGNs by the diagnostic of Stern et al. (2005).

CIGALE allows to estimate the fraction of due to an AGN. The code uses AGN templates from Siebenmorgen et al. (2004b, a) who provide almost 1500 AGN models differing in the luminosity of the non-thermal source, the outer radius of a spherical dust cloud covering the AGN, and the amount of attenuation in the visual caused by clouds. All models can be fed into CIGALE. Focusing on SEDs providing PAH-free MIR emission, the number of suitable models signiÞcantly decreases. As the reference model, we take L, pc, and mag (see Fig. 4 ). The parameter in our runs which probes the contribution of AGN radiation to is named for fraction of AGN . As input we propose values for ranging from 0.0 to 0.999. The results will be presented in section 4.2.

Figure 4: SED of the adopted AGN template, with L, pc, and mag.

Later we will decide to flag objects identified as AGN by at least 2 diagnostics ( Stern et al. (2005) , Brand et al. (2006), CIGALE).

Parameters Symbol Range
V-band attenuation 0.15; 0.30; 0.45; 0.60; 0.75; 0.90; 1.05; 1.20; 1.35;
1.5; 1.65; 1.8; 1.95; 2.1
Reduction of basic for old SP model 0.0; 0.25; 0.50; 0.75; 1.0
IR power-law slope 1.0 ; 1.25; 1.5; 1.75; 2.0; 2.25; 2.5
AGN-related fraction of , 0.0; 0.001; 0.005; 0.01; 0.05; 0.1; 0.5; 0.7; 0.999
Star Formation History
metallicities (solar metallicity) 0.02
of old stellar population models in Gyr 0.1; 3.0; 10.0
ages of old stellar population models in Gyr 7
of young stellar population models in Gyr 20.0
ages of young stellar population models in Gyr 0.025; 0.05; 0.075; 0.1; 0.2; 0.3; 0.4; 0.5; 0.6; 0.7;
0.8; 0.9; 1.0; 1.5; 2.0
fraction of young stellar population 0.0; 0.001; 0.005; 0.01; 0.05; 0.06; 0.07; 0.08; 0.09;
0.1; 0.2; 0.3; 0.4; 0.5; 0.6; 0.7; 0.8; 0.999
IMF S Salpeter
Table 2: List of the input parameters of the code CIGALE and their selected range for a specific run.

3.4 Do we retrieve reliable parameters? Construction of a mock catalogue dedicated to the sample.

The code gives an estimate of the basic input parameters plus several additionnal output parameters that depend on different basic model properties. We mostly focus on SFH parameters for the young stellar population.

We perform a Bayesian analysis to estimate the physical parameters. We use a method similar to the one of Kauffmann et al. (2003a). They derive a probability distribution function (PDF) for each parameter and estimate the most probable value. We use the mean value of this distribution. The expectation value of each parameter is given as :


and the standard deviation is derived by :


This method is described as the ’sum’ method in Noll et al. (2009b).

When we use a numerical code based on SED-fitting, we obtain results depending on a statistical analysis. The accuracy of the estimates is directly dependent on the input fluxes (number and quality). We must check which parameter the code is able to estimate correctly. Theoretically the Bayesian analysis provides an estimation of the reliability of each parameter thanks to the shape of their PDF (if the shape is not a Gaussian curve the parameter is not well determined (Walcher et al. (2008)), and their relative error .

A more straightforward approach to check the parameter estimation is to generate a mock catalogue from the real sample. Our general strategy is to build a specific mock catalogue for each set of data (in this paper the LIRGs sample). It is made of artificial galaxies for which we do not only know the flux at each wavelength but also values of attenuation parameters and parameters of the SFH.

To construct our mock catalogue we follow 3 steps. The first step is to run the code on the data to determine the best fitting model for each object by a simple minimization method. Each corresponds to a SED. In the second step we add an error randomly distributed according to a Gaussian curve with =0.1 to each flux ; it means that we add an error to the flux which is typically 10 of the flux. We have a catalogue of artificial galaxies, detected in the same filters as the observed galaxies. Then the last step is to run the code on these simulated data and to compare the exact values of the physical parameters with the values estimated by the code.

4 Results of the SED-fitting analysis

We perform SED-fitting on our LIRGs sample and on the related mock catalogue in order to know which parameter we are able to correctly estimate. In the following sections we will describe the results of the SED-fitting of the mock catalogue with and without the band at 70 m and then we will discuss results of the SED-fitting of the real data.

4.1 Analysis of the mock catalogue

We construct two mock catalogues as described in Sect. 3.4 based on the 70 m sample (sample detected at 70m) only. The first catalogue is made of galaxies detected at 70 m ( 70 m mock sample) and the second one is made with the same galaxies for which we remove the flux at 70 m (mock sample) in order to know if the fact of having 70 m flux has an influence on the determination of the parameters of the SFH, or , and SFR.

In Fig.  5 is plotted the difference in magnitudes between the flux from the best model estimated by CIGALE and the observed flux for each broad band filter. Mean and median values are nearly equal to zero which means that fluxes are well reproduced by the code to better than 0.1 mag.

Even if the code is able to well reproduce the observed data, we cannot settle for this result. Indeed, it is possible that some SEDs are degenerated and correspond to different parameter values. We have to compare each input parameter with its Bayesian estimation by the code. Fig.  6 and  7 show the input parameters of the mock galaxies versus the values estimated by the code. Fig.  6 (Fig.  7) shows results for the 70 m mock sample (mock sample). Values of the Linear Pearson correlation coefficient r are gathered in Table  3.

For the 70 m mock sample we find very good correlations for , SFR, , , and with r 0.9. For , and the correlation is less satisfying, r is equal to 0.34, 0.52, and 0.64 for the 70 m mock sample and 0.20, 0.45, and 0.64 for the mock sample. The correlation for the parameter is good with r=0.80 for 70 m mock sample but very bad for the mock sample. In the following we will use the mean value of from the 70 m sample for the objects without detection at 70 m. For r 0.9 for 70 m mock sample and 0.76 for the mock sample, with relatively small errors. Thus this parameter is correctly estimated by the code.

According to the analysis of the coefficient r and the Bayesian method’s error, the reliable parameters are : , , SFR, , , (if 70 m is available) and . Consequently in the next section we will only study these parameters.

Figure 5: Difference in magnitudes between the flux of the mock galaxies and the flux of the best model for these objects in each band. Red crosses and green crosses represent the mean and the median value for each wavelength.
Parameters 70 m mock sample mock sample
log 0.93 0.92
log 0.93 0.95
log 0.93 0.92
0.34 0.20
0.52 0.45
0.92 0.80
0.64 0.64
0.80 0.04
0.92 0.76
Table 3: Estimation of the linear correlation coefficient of Pearson between the exact value and the value estimated by CIGALE for each parameter of the mock catalogue. We estimate this coefficient for the 70 m mock sample and the mock sample.
Figure 6: On the x axis the value for 8 parameters of the mock galaxies in the case of a detection at 70 m, and on the y axis their values estimated by CIGALE. The red line corresponds to the ratio 1:1.
Figure 7: Same plot as Fig. 6 in the case of non-detection at 70 m.

4.2 Analysis of the LIRGs sample

Figure 8: Bayesian results of the code for the following parameters : , , SFR, , and . The empty histogram represents the total sample and the full one represents the 70 m sample.

We now present the results for the LIRGs sample itself. Fig. 8 shows distributions for parameters of interest, calculated with the Bayesian analysis described previously for the sub-sample detected at 70 m and for the whole sample.

The masses found for the 70 m sample are shifted towards larger masses in comparison with the total sample. We observe a similiar situation for and the SFR; the values are in the range [ ; ] L and [10 ; 92] respectively with mean values larger than ones found for the total sample. This shift is expected because of the 70 m detection limit (2.7 mJy at 5) : at this wavelength we detect only luminous and massive galaxies. The distribution of is broad with a long tail towards high values. lies between 0.5 and 2.1 mag with very few objects under 1.0 mag and a quite homogeneous distribution between 1.0 and 2.0.

Galaxies in the total sample have between and M with a peak at M. We find the SFR between 3 and 92 with a peak at 23 . For , and we observe the same distribution as for the 70 m sample. For both samples is relatively low, between 0.0 and 0.3 with the majority of the objects in the interval [0;0.1]. We consider that there is a real contamination of by an AGN when 15 because a contamination lower than15 does not significantly modify the total IR emission. We must also account for the uncertainty of the determination : we only consider as AGN contaminated objects with 15 and - 0 where is the standard deviation (see Eq. 5).

We identify 21 objects in the total sample. The diagnostics of Stern et al. (2005) identifies 31 objects, and Brand et al. (2006) 9 objects. However, all the objects considered as AGN by the code are not systematically identified as AGN in the diagnostics of Brand et al. (2006) and Stern et al. (2005). We consider objects as contaminated by AGN when they are flagged by two of the three diagnostics. We identify 15 objects in the total sample of which 6 are in the 70 m sample ; these objects will be flagged in the following plots.

We have also investigated the small subsample of galaxies not detected in NUV (31 over 181 galaxies) and did not find any statistically significant difference in their main characteristics. The largest effect is found for A : A=1.75 +/- 0.25 mag for the non detections in NUV and A=1.33+/- 0.34 mag for the detections in NUV. A higher dust attenuation for galaxies not detected in NUV is indeed expected.

5 Discussion

5.1 Luminosity-colour distribution and the implication for the dust temperature

SED shape of a LIRG in the 8-1000 m range is due to emission from dust. The SED rest-frame peak defines the wavelength of maximum energetic output (in ) ; it is usually in the 40-140 m range and the SED is often approximated by a modified black-body () of T 20-60 K and emissivity 1-2.

Local () galaxies exhibit correlations between the color / and (e.g Dale et al. (2001)). / ratio is often taken as an indicator of the typical heating conditions in the interstellar medium and is indicative of a characteristic dust temperature (hereafter ) , / increasing with .

In the nearby universe LIRGs are characterized by emission from dust at high temperatures (Sanders Mirabel (1996)). Fitting single to / ratio leads to 20K for low redshift spirals (Reach et al. (1995); Dunne Eales (2001)) and 30-60K for the high-luminosity objects typically detected by (Soifer Neugebauer (1991) ; Stanford et al. (2000)). High-redshift, hyperluminous galaxies can show of up to 110K (Lewis et al. (1998)).

To reproduce number counts at FIR wavelengths, Lagache et al. (2003), Chapin et al. (2009a), and Valiante et al. (2009) found that it is necessary to take into account cold luminous galaxies in the nearby universe. Cold galaxies are found to dominate the z=0 luminosity function at low luminosities and become less important at higher redshifts, because of their passive evolution. The fraction of cold galaxies can contribute to the number counts up to 50 at 170 m. At moderate and high redshift the possible importance of cold, luminous galaxies has also been pointed out by Eales et al. (1999,2000) and Chapman et al. (2002).

Figure 9: Variations of / versus / (expressed in Jansky) for the DH02 templates used in the paper, corresponding to the range [1.0 - 2.5].
Figure 10: This figure illustrates the ratio between the observed fluxes at 24 m and 70 m as a function of the estimated by the code. The solid line corresponds to the results given by the DH02 templates at z=0.7. The dashed cyan line is given by Siebenmorgen et al. (2004b) for typical AGN contaminated object. AGNs described in section 4.2 are shown as red stars.

We use the fluxes ratio / (corresponding to the highest wavelengths in our sample) in order to estimate the dust temperature. The observed / corresponds to / rest-frame. All our discussions are made in the framework of the DH02 models in the [1.0-2.5] regime (see. Table 2). / evolves in the opposite way of / (i.e. , see Fig. 9).

Fig. 10 exhibits the observed / ratio as a function of obtained for the LIRGs in the 70 m sample. Predictions of DH02 models are overplotted. They are calibrated with the Marcillac et al. (2006) local relation between / (i.e. ) and . For a given we find that our galaxies have a / ratio higher than predicted by the models. This implies that they have a lower / ratio and thus are colder than expected. We cannot attribute this result to the presence of AGN contaminated objects regarding the small fraction of flagged sources.

Figure 11: Comparaison of the relation log R(60/100) - log given by IR SEDs of DH02 after the fit to the data, with the values given by local relations and models. Upper and lower solid red lines represent local relations of Chapman et al. (2003) and Marcillac et al. (2006), respectively. We overplot models of CE01 (green dotted line), Chapin et al. (2009a) (dashed black line) and Valiante et al. (2009) (dash-dotted black line). AGN detections are shown as red stars.

We can also directly use the / ratio deduced from the parameter estimated by CIGALE. In Fig. 11 we compare and the derived / values of our 70 m sample. It will have no sense to make this comparison for the rest of the sample for which we estimated with the median value of found for the sub-sample. We add to this plot the local / relations of Chapman et al. (2003) and Marcillac et al. (2006), and the luminosity-temperature models proposed by CE01, Chapin et al. (2009a), and Valiante et al. (2009) in the luminosity range [] L. Fig.11 shows that the code gives a different trend for the relation / versus than both local relations and models. Galaxies having the lowest IR luminosity are in agreement with them, but more luminous objects are found colder than predicted, and globally they evolve in the opposite way to local relations and models. Chanial et al. (2007) make a selection at 60 and 170 m using respectively and observations at z=0 and find that galaxies selected at 170 m are colder than ones detected at shorter wavelengths. They conclude that selecting galaxies at long wavelengths introduce a bias towards cold galaxies. Selecting the sample at a wavelength longwards of the peak, by definition, does not predispose towards warm sources (Sanders Mirabel (1996)). Our sample is selected by rest-frame 41 m emission, i.e. on warm dust; yet, we mostly find colder at a given luminosity than predicted by models of DH02 and CE01, calibrated in the nearby universe. This tends to support the interpretation that the offset found towards colder temperatures at a given luminosity is at least in part a real difference. Zheng et al. (2007) suggest that this tendency towards colder reflects a difference in dust and star formation geometry: whereas local LIRGs tend to be interacting systems with relatively compact very intense star formation and of comparable masses (e.g., Wang et al. (2006)), 0.5z1 LIRGs tend to be disk-dominated, relatively undisturbed galaxies (Zheng et al. (2004); Bell et al. (2005); Melbourne et al. (2005)). They suggest that these disk-galaxies host widespread intense star formation, like star formation in local spirals but scaled up, leading to relatively cold .

Our results are in agreement with Symeonidis et al. (2009). They compare FIR properties of LIRGs and Ultra Luminous IfraRed Galaxies (ULIRGs, L) in the 0.1z2 redshift range, based on MIPS and IRAC data with L, 70 m selected objects, with those of local sources of equivalent luminosity from the local Bright Galaxy Sample. They fit their data with the Siebenmorgen Krügel (2007) theoretical SED templates and find that their distant LIRGs and ULIRGs are colder than their local equivalents. They found a significant cold-dust associated FIR excess not detected in local sources of comparable luminosity directly linked to the evolution in dust and star formation properties from the local to the high redshift Universe.

is now providing longward 70 m data allowing a reliable estimation of .

5.2 Star formation rate and stellar mass

Figure 12: The relation SFR- for the total sample. Filled circles (empty circles) illustrate galaxies for which the age of the young stellar population is found greater (lower or equal) than 0.3 Gyr by CIGALE. AGNs are represented by red stars. We overplot the semi-analytical Millennium simulations (cyan diamonds), analytical models of Buat et al. (2008) (dash-dotted yellow line) at z=0.7 and Noeske et al. (2007a) (connected blue crosses) at z0.7, and observations of Elbaz et al. (2007) (solid black line, z=0 and 1), Daddi et al. (2007) (solid black line z=2) and Santini et al. (2009) at z0.7 (dashed green line).
Figure 13: The SSFR- relation for the total sample. Green dots and yellow dots represent objects for which are larger or lower than 10, respectively. AGNs contaminated objects are represented by red stars. Black dashed line shows the detection limit. We overplot analytical models of Buat et al. (2008) (dash-dotted yellow line) at z=0.7 and Noeske et al. (2007a) (connected blue crosses) at z0.7, and observations of Elbaz et al. (2007) (solid black line, z=1) and Santini et al. (2009) at z0.7 (dashed green line).

How and when galaxies build up their is still a major question in observational cosmology. While a general consensus has been reached in recent years on the evolution of the galaxy stellar mass function (e.g., Dickinson et al. (2003); Drory et al. (2004); Bundy et al. (2005); Pannella (2006); Marchesini et al. (2008)), the redshift evolution of the SFR as a function of still remains unclear. The evolution of the galaxy SFR- relationship provides key constraints on assembly histories of galaxies. For star-forming galaxies a correlation is observed between SFR and with a slope near to unity from z 0 to 2 and a scatter of 0.3 dex (Daddi et al. (2007); Elbaz et al. (2007); Noeske et al. (2007a)). The slope and scatter are expected to be a direct reflection of the similarity in the shape of galaxy SFHs among various models and at various masses (Davé (2008), Noeske et al. (2007b)). It is worth noting that other z = 2 observations suggest a somewhat large scatter (Shapley et al. (2005); Papovich et al. (2006)), so the observational picture is not entirely settled.

Fig.12 shows the SFR of each galaxy of our sample as a function of the corresponding , and the results of various models and observations : analytical models of Buat et al. (2008) and Noeske et al. (2007a), the semi-analytical Millennium simulations of Kitzbichler & White (2007) used in Buat et al. (2008) and observations of Elbaz et al. (2007), Daddi et al. (2007), and Santini et al. (2009). Our sample of LIRGs has an average redshift of 0.7. We find the vast majority of the sample between the correlations at z=0 and z=1 given by Elbaz et al. (2007). Our data cover the extreme part of the Millennium simulations where we can find galaxies with the largest SFRs between . We do not observe a correlation between SFR and , but instead a flat distribution of SFR. We consider a tight range of SFR since we select objects with L (see below) : this range is not sufficient to search for a general correlation between and the SFR. However in the considered SFR range we observe a large scatter in . Indeed galaxies whose young stellar population is younger than 300 Myr exhibit a larger dispersion in than galaxies whose SFR is constant over a longer period (Fig.12). Therefore the SFH of our objects has an influence on the dispersion of the SFR- plot. This is in agreement with the conclusions of Davé (2008) and Noeske et al. (2007b).

The specific star formation rate (SSFR) defined as the ratio between SFR and (e.g., Kennicutt et al. (2005)) is also commonly used to trace the SFH in galaxies. The SSFR is plotted in Fig.13 as a function of the corresponding and we can see the increase of the SSFRs towards lower . Before any interpretation we can estimate a detection limit in SSFR : = L translates into SFR = 17.78 at z = 0.7 ( Eq. (1) of Buat et al. (2008)). We overplay this detection limit and see that the trend of SSFR with is largely constrained by this limit. We compare our results with the same models and observations as illustrated in Fig.12. SSFRs of our intermediate-mass galaxies (M) are in agreement with those observed by Santini et al. (2009), but for these values of we cannot detect more quiescent galaxies because of the detection limit. SSFRs of large-mass galaxies ( M) are better described by the models of Buat et al. (2008). These massive galaxies have SSFRs which do not exceed 2.5 yr (corresponding to a SFR25 ) and never reach the SSFRs of intermediate-mass galaxies observed in this study. In order to distinguish galaxies for which the young stellar population significantly contributes to , we identify objects for which estimated with CIGALE is larger or lower than 10 and see that the 2 groups are well-separated according to their stellar mass: galaxies with M have more than 10 of their mass due to the young stellar population, whereas in galaxies with M this mass represents less than 10. This result is in agreement with the common picture that massive galaxies formed the bulk of their stars early and on shorter timescales, while numerous less massive galaxies evolve on longer time-scales, a phenomenon generally linked to the ÒdownsizingÓ scenario (e.g. Cowie et al. (1996), Brinchmann Ellis (2000) ; Fontana et al. (2003) ; Feulner et al. (2005) ; Pérez-González et al. (2005) ; Papovich et al. (2006) ; Damen et al. (2009)).

6 Conclusions

We performed a SED-fitting analysis of a sample of LIRGs at z=0.7 detected at 24 m by /MIPS and for which 80 of the objects have a detection at 231 nm by . This sample is observed over a large range of wavelengths, from NUV to FIR (70 m) and is made of 181 galaxies which 62 are detected at 70 m. We fit the SEDs of our galaxies with the CIGALE code (Burgarella et al. (2005), Noll et al. (2009b)) which combines stellar and dust emissions in a physical way. This study is the first use of CIGALE at redshift larger than 0. The stellar populations synthesis code of Maraston et al. (2005) is adopted to model the stellar emission (UV, optical and NIR wavelengths). Then the code uses semi-empirical one-parameter models of Dale Helou (2002) to reproduce the dust emission in MIR-to-FIR wavelengths.

CIGALE allows the estimation of several physical parameters based on a Bayesian-like analysis. We show that we are able to estimate reliable stellar masses, star formation rates, fractions of young stellar population, Dale Helou (2002) IR-templates parameter (if 70 m is available), dust attenuation, dust luminosities as well as the fraction of dust emission due to an active galactic nucleus. The investigation is performed by building mock catalogues based on the real samples.

The 70 m sample exhibits colder dust temperatures (as traced by the ratio and the parameter of the Dale Helou (2002) templates) than expected from local relations between dust luminosity and temperature, confirming other recent results for similar samples.

Our LIRGs appear to form stars actively; they exhibit a flat distribution with a large scatter in the star formation rate - stellar mass plot. The amplitude of the dispersion is related to the age of the young stellar population, a tighter distribution being found for the largest ages.

We find that our galaxies with a stellar mass M have less than 10 of their mass coming from the young stellar population. The specific star formation rate for these massive galaxies never reaches the one found for intermediate-mass galaxies of our sample, confirming the downsizing scenario.

The multiwavelengths data analysis performed in this study provide reliable estimates of several physical parameters but may turn out insufficient to determine accurate dust temperatures. Forthcoming data from will help us to better constrain galaxies SEDs and thus to derive more reliable parameters.


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