Blue FSRQs

# Blue Fermi Flat Spectrum Radio Quasars

G. Ghisellini, F. Tavecchio, L. Foschini, T. Sbarrato, G. Ghirlanda, L. Maraschi
1: INAF – Osservatorio Astronomico di Brera, via E. Bianchi 46, I–23807 Merate, Italy
2: Universitá dell’Insubria, via Valleggio 11, 22100 Como, Italy
3: INAF – Osservatorio Astronomico di Brera, via Brera 28, I–20100 Milano, Italy
E–mail:gabriele.ghisellini@brera.inaf.it
###### Abstract

Many blazars detected by the Fermi satellite, observed spectroscopically in the optical, are line–less, and have been classified as BL Lac objects. Optical–UV photometry of nearly one hundred of them allowed to determine the redshift for a handful of objects and redshift upper limits for the great majority. A few of these are candidates to be “blue quasars”, namely flat spectrum radio quasars whose broad emission lines are hidden by an overwhelming synchrotron emission peaking in the UV. This implies that the emitting electrons have high energies. In turn, this requires relatively weak radiative cooling, a condition that can be met if the main radiative dissipation of the jet power occurs outside the broad line region. We confirm this hypothesis by studying and modelling the spectral energy distributions of the 4 “blue quasars” recently discovered. Furthermore, we discuss the distribution of Fermi blazars in the –ray spectral index – –ray luminosity plane, and argue that “blue quasars” objects are a minority within the blazar populations.

###### keywords:
galaxies: active–galaxies: jets–galaxies — radiation mechanisms: non–thermal
pagerange: Blue Fermi Flat Spectrum Radio QuasarsLABEL:lastpagepubyear: 2007

## 1 Introduction

The Fermi satellite is detecting –ray emission from a large number of blazars (Flat Spectrum Radio Quasars, FSRQs, and BL Lacs). From the data collected in the first two years of operation a “clean” sample was constructed from the data of the Fermi/Large Area Telescope (LAT) instrument, the 2LAC sample (Ackermann et al. 2011), that allows population studies.

The 2LAC sample includes 395 sources classified as “BL Lacs”, 310 FSRQs, 157 sources of “unknown type”, 4 Narrow Line Seyfert 1 (Abdo et al. 2009) and other 18 “non blazar” AGNs and 2 starburst galaxies. Of the 395 sources classified as BL Lacs, 56% lack a redshift determination, which limits the possibility of discussing their physical properties. When an emission lines is visible, the subdivision between the BL Lac and FSRQs categories is based on the equivalent width (EW) of the line, as measured in the rest frame: the blazar is classified as BL Lac if the rest frame EW of any permitted line is smaller than 5 Å (Stickel et al. 1991).

In order to gain redshift information for BL Lacs without any visible line, Rau et al. (2012, hereafter R12) set up a program to obtain simultaneous photometry over a wide wavelength range using the Gamma–Ray Burst Optical/Near–Infrared Detector (GROND) and the Swift/Optical Ultraviolet Telescope (UVOT).

80 blazars with optical/radio identification but without redshift information were selected from the 2LAC sample based on celestial position and small foreground reddening; 8 more (2 with known redshift) were included though not part of the clean 2LAC sample because of Fermi data quality problems; other 16 2LAC sources with known redshift were included for verification. In total, 104 blazars were considered: 82 have been classified as BL Lacs by Ackermann et al. (2011), 3 as FSRQs and 19 as of unknown type.

All the sources (but one, due to a lack of precise coordinates) were observed simultaneously with GROND and with the Swift UVOT. GROND can observe simultaneously in 7 filters, from 2.4 m ( band) to 4000 Å ( band), while UVOT can observe in 6 filters (one filter at the time), from 5400 Å ( band) to 1600 Å ( filter; with center wavelength at 2000 Å). These data, covering the wavelength interval from 2.4 m to 1600 Å, allow to derive photometric redshifts if the source is far enough to be affected by intervening Ly absorption.

As a result, photometric redshifts were determined at the 90% confidence level for 11 sources, including 3 blazars that also had a previously measured spectroscopic redshift (in one case it is only a lower limit on , derived by the presence of an intervening absorption line). Furthermore, the absence of any Ly absorption feature in the spectrum could lead to the estimate of an upper limit on the redshift for 81 blazars, including 12 blazars with known spectroscopic redshift. The upper limits in these 12 sources were all consistent with the spectroscopic measurement.

Among the 11 blazars with estimated photometrically, Padovani, Giommi & Rau (2012, P12 hereafter) discussed 4 sources, chosen because of the flat (in ) optical continuum (i.e. with ). They constructed their spectral energy distributions (SEDs), including the X–ray data of the X–Ray Telescope (XRT) onboard the Swift satellite and the –ray data of Fermi. They concluded that, despite their featureless optical spectrum and high synchrotron peak frequency, more typical of low power BL Lac objects (if blazars obey the “blazar sequence” as proposed by Fossati et al. 1998), these sources are probably FSRQs whose broad emission lines are swamped by the beamed non–thermal continuum.

The aim of the present paper is twofold. The first aim is to analyze in detail the SEDs of the 4 blazars discussed in P12 in order examine whether the large –ray luminosity together with a high frequency synchrotron peak is in contrast with the physical interpretation of the blazar sequence given in Ghisellini et al. (1998).

This interpretation assumes that the peak frequency of the blazar synchrotron emission depends mainly on the energy of the emitting electrons which, in turn, depends on the rate of radiative cooling. In this scheme, we expect that high power blazars (i.e. FSRQs) emit most of their radiation within the broad line region (BLR), which can be the dominant source of seed photons for scattering. Radiative cooling, dominated by the Inverse Compton process on this external population of seed photons (i.e. seed photons produced externally to the jet, so the inverse Compon process is called external Compton, EC for short) is severe, and therefore the energy of the relevant electrons, emitting at the peak of the spectral energy distribution (SED), is small. At the other extreme of the blazar sequence we have low power BL Lacs, that lack (or have weak) broad emission lines. EC is much less important, and the corresponding cooling is unimportant. Electrons can then reach high energies, and produce high synchrotron (and self Compton, SSC) frequencies.

However, as described in Ghisellini & Tavecchio (2008, see also Georganopoulos et al. 2001), intermediate situations may exist if the dissipative region of the jet lies beyond the BLR. In this case the relativistic electrons are not subject to strong EC losses, and the main emission processes become synchrotron and SSC, with some contribution from EC scattering of IR photons produced by the torus. The resulting SED is then foreseen to be similar to the SED of classical BL Lac objects. It is then possible to have a “blue” quasar i.e. an object with emission lines and at the same time a SSC–dominated jet. These conditions should occur in sources with a relatively small accretion disc luminosity and/or a relatively large black hole mass .

The second aim of this paper is to take advantage of the upper limits in redshift, made possible by the combination of GROND and UVOT observations, to locate these blazars in the plane, to see if they violate the general trend observed in Ghisellini, Maraschi & Tavecchio (2009). In that paper, we analyzed only the blazars with spectroscopic redshift detected in the first 3 months of Fermi. We can now update the sample using the 2LAC catalog and including blazars with redshift information provided by R12.

We use a flat cosmology with km s Mpc, =0.3 and the notation in cgs units.

## 2 Analysis of Swift data

P12 presented the data of the 4 blazars in their sample only in the form of SED plots. Since the Swift data are publicly available on the Swift archive, we have analyzed both the XRT and UVOT data of the in order to check the results of P12.

The data were screened, cleaned and analysed with the software package HEASOFT v. 6.12, with the calibration database updated to 22 March 2012. The XRT data were processed with the standard procedure (XRTPIPELINE v.0.12.6). All sources were observed in photon counting (PC) mode and grade 0–12 (single to quadruple pixel) were selected. The channels with energies below 0.3 keV and above 10 keV were excluded from the fit and the spectra were rebinned in energy so to have at least 20–30 counts per bin in order to apply the test. When there are no sufficient counts, we applied the likelihood statistic as reported by Cash (1979). Each spectrum was analysed through XSPEC v. 12.7.1 with an absorbed power law model with a fixed Galactic column density as measured by Kalberla et al. (2005). The computed errors represent the 90% confidence interval on the spectral parameters. The X–ray spectra displayed in the SED have been properly rebinned to ensure the best visualization.

UVOT (Roming et al. 2005) source counts were extracted from a circular region 5”–sized centred on the source position, while the background was extracted from an annulus with internal radius of 7” and variable outer radius depending on the nearest contaminating source. Data were integrated with the uvotimsum task and then analysed by using the uvotsource task. The observed magnitudes have been dereddened according to the formulae by Cardelli et al. (1989) and converted into fluxes by using standard formulae and zero points.

The Swift data analysed by us are the same used in R12 and P12. We found substantial agreement in three cases, but for the blazar RX J0035.2+1515 we found UVOT fluxes rather different from R12, and for this source we found no break. Note that in the field of RX J0035.2+1515 there is a very bright star at a distance of 36” (TYC 1187–1355–1, with =10.39) that causes problems when subtracting the background. For its estimation, we have used an annular region of size 7”–20” centered on the blazar (see also §4.1 below).

## 3 BL Lacs or Flat Spectrum Radio Quasars?

The 4 considered blazars have a featureless optical continuum, and can be classified as BL Lacs if the classical definition is adopted (i.e. an equivalent width of the lines less than 5 Å). However, P12 suggested that these blazars are instead FSRQs, whose emission lines are swamped by the relativistically boosted jet flux. The main argument for this classification is the strong radio power of these sources, that is typical of FSQRs. We agree with this interpretation, and we would like to offer another argument in favor of the FSRQ classification of these blazars.

Ghisellini et al. (2011) and Sbarrato et al. (2012), considering Fermi detected blazars, have shown that there is a correlation between the –ray luminosity and the luminosity of the broad lines, that includes not only FSRQs, but also sources that are classified as BL Lacs according to the classical subdivision (based on the EW of the lines). Furthermore, if the luminosities are measured in Eddington units, there is a divide between BL Lacs and FSRQs for and for . The latter values is obtained using the isotropic equivalent of the –ray luminosity, i.e. the K–corrected –ray flux multiplied by , where is the luminosity distance. This of course does not imply that is isotropic. If the photometric redshift of our 4 blazars is correct, then their –ray luminosity is large, exceeding the value even for black hole masses equal to . An exception could be RX J0035.2+1515, if the true redshift is , since in this case erg s, making for . In this case we should consider the source as a BL Lac, namely a blazar whose emission lines, if present, are intrinsically weak.

The correlation found in Sbarrato et al. (2012) concerns sources closely aligned with the line of sight, and it is foreseen that when the –ray sensitivity will improve, what we see now as a correlation is in fact a boundary in the plane. Bearing this in mind, the correlation has the form

 LBLR∼4L0.93γ (1)

with a large scatter, since the –ray luminosity is highly variable in single objects even when averaging over one or two years (see e.g. Ghirlanda et al. 2011). This offers a rough way to estimate the luminosity of the broad lines. When a good optical spectrum is available, we can then suggest the minimum ratio – between the boosted non–thermal and the thermal continua – needed to hide the lines.

## 4 Notes on individual sources

### 4.1 Rx j0035.2+1515

The source has been observed by the SDSS to have a featureless continuum. NED reports . On the other hand SDSS reports as a result of an automatic analysis, and also alerts that is actually unknown. The quoted values are not believable. Adopting the photometric redshift given in R12, , we can derive a (5) upper limit on the flux of the MgII line which is the most prominent broad line observable in the spectral range of SDSS. We derive erg s. We then use the template given in Francis et al. (1991), adding the H contribution (not included in Francis et al. 1991), with a relative weight of 77 (on a scale in which the Ly is 100). The total weight of all lines is then 555 (see Celotti, Padovani & Ghisellini et al. 1997), and the weight of MgII is 34. Therefore we derive erg s. With a covering factor of 0.1, the upper limit on the accretion disc luminosity is erg s. The 0.1 value for the covering factor is uncertain and should be taken as an average value with some dispersion (see e.g. Baldwin & Netzer 1978; Smith 1981).

Assuming a standard, geometrically thin optically thick disc (Shakura & Sunyaev 1973), the peak frequency of its spectrum has erg s, a factor below the observed in the optical, that has a luminosity erg s. We do not have any telling observation for the value of the black hole mass. Sbarrato et al. (2012), studying a sample of FSRQs detected by Fermi, calculated the average black hole mass of FSRQs: . Each black hole mass was estimated by Shen et al. (2011) through virial methods. Using this average black hole mass, the ratio .

As long as , the hypothesis of a standard disc is justified (radiatively inefficient disc should corresponds to Eddington ratios smaller than 0.01).

As discussed in §3, the correlation between the BLR luminosity and the –ray luminosity in the Fermi/LAT energy band offers a way to estimate and . Using Eq. 1 and erg s, we obtain erg s (and erg s) with an uncertainty of at least a factor 4. Reassuringly, this estimate is consistent with the value found above.

The radio information are poor, since only the 1.4 GHz NRAO VLA Sky Survey (NVSS) point is available, with a flux of 18.7 mJy (Condon et al. 1998) and erg s. The source is detected in the infrared by the WISE satellite in all its four filters (3.4, 4.6, 12 and 22 m)111Cutri et al. 2012: http://wise2.ipac.caltech.edu/docs/release/allsky/. The corresponding data points are consistent with the extrapolation of the spectrum derived from the GROND fluxes.

We have re–analyzed the UVOT data, finding a very bright source at from RX J0035.2+1515, as mentioned in §2. Estimating the background in a region of the sky free of sources, we have derived de–reddened fluxes significantly smaller than the ones reported in R12, and a harder spectrum, with no sign of a break. There is then the possibility that the derived photometric redshift is affected by the uncertainties caused by incorrectly subtracting the background. For this reason, we will consider for this source both the photometric redshift derived by R11, and also . This roughly corresponds to the lower limit on due to the non–detection of the host galaxy both in the image and in its possible contribution to the SED (see Wagner et al. 1996; Sbarufatti, Falomo & Treves 2005).

### 4.2 Summs J053748–571828

Not observed by SDSS, its photometric redshift is . To estimate the presence or not of a standard accretion disc, and therefore its BL Lac or FSRQ nature, we can use the correlation between and , giving erg s and therefore an accretion disc 10 times more powerful. Please note that the dispersion around the is large, so the above values should be taken as an order of magnitude estimate. Nevertheless, since the optical continuum in this source has a luminosity similar to RX J0035.2+1515, it is conceivable that the synchrotron flux has swamped the (indeed present) broad emission lines, if the optical spectrum has a S/N similar to RX J0035.2+1515 (i.e. ), or worse. The line of reasoning is the following: assuming that the photometric redshift is correct, we know at what frequencies the prominent broad emission line (i.e. Mg II) should appear. In order to be visible, this line should have a minimum luminosity, depending on the quality of the spectrum. Since R12 state that the optical spectrum is featureless, we can then assign a lower limit on the line luminosity assuming a S/N ratio. We find that a BLR of luminosity erg is consistent with the absence of lines in the optical spectrum if the S/N 40.

The source is detected by WISE. Although not simultaneous with GROND, the IR data points lie on the extrapolation of the spectrum defined by the GROND points.

In the radio, the source flux is 99.8 mJy at 843 MHz, as reported by the Sydney University Molonglo Sky Survey (SUMSS; Mauch et al. 2003). This corresponds to erg s, slightly larger than RX J0035.2+1515 at 1.4 GHz.

### 4.3 Crates J0630–2406

Not observed by SDSS, its photometric redshift is . The relation gives erg s, suggesting a rather luminous disc ( erg s, within on order of magnitude). If true, this disc luminosity would correspond to a a factor 20 below the optical flux: a spectrum of the same quality of the SDSS spectrum of RX J0035.2+1515 would not reveal any line. The source is detected by WISE. The corresponding IR data well match the extrapolation of the spectrum defined by the GROND points.

The large radio luminosity, exceeding erg s, indicates a powerful source, suggesting that this blazar is a FSRQ.

### 4.4 Crates 1312–2156

This source can be identified with PKS 1309–216. The absorption line observed by Blades, Murdoch & Hunstead (1980), identified as CIV, gives a lower limit on the source redshift: . The radio luminosity is large, exceeding erg s. This suggests that this source is a FSRQ, whose accretion disc continuum and lines are swamped by a strong synchrotron component. We can estimate (approximately) an upper limit to the contribution of the disc, by assuming that, if observed with the SDSS, broad lines do not appear. With a quality of the spectrum similar to the SDSS spectrum of RX J0035.2+1515, and assuming the photometric redshift, the most prominent observable broad line would be MgII. Since it is not observed, the accretion disc must lie well below the observed continuum, with a peak at least a factor below the optical continuum, i.e. below erg s. This value is of the same order of what derived by the correlation, that gives erg s. Also this source is detected by WISE. Although not simultaneous with GROND, the WISE data lie on the extrapolation of the spectrum defined by the GROND points.

## 5 Modeling

The adopted model is a one–zone and leptonic model, fully described in Ghisellini & Tavecchio (2009). The main properties are summarized in the Appendix, mainly to explain the meaning of the parameters listed in Tab. 1 and Tab. 2. In extreme synthesis, the model assumes that the bulk of the jet dissipation takes place in one zone located at some distance from the black hole. For simplicity, the emitting region is assumed spherical with a radius , with . The region is moving with a bulk Lorentz factor , and is observed under a viewing angle . Energetic electrons are injected throughout the source for a time equal to the light crossing time , and the particle distribution is calculated (though the continuity equation) at this time, considering radiative losses and possible electron–positron pair production and their reprocessing.

A specific feature of our modeling is that it takes into account how the relevant energy densities change as a function of , the distance from the black hole of the main dissipation region. Fig. 1 illustrates this point, showing how the different contributions to the energy density (as seen in the comoving frame) change as a function of (see the lower axis), and, equivalently, as a function of (top axis), where is the Schwarzschild radius (for a black hole of mass ). Since the jet is assumed to accelerate (with ), the bulk Lorentz factor is relatively small in the inner regions of the jet. As a consequence, the external radiation is not strongly boosted. On the other hand, if the Poynting flux initially dominates the total power of the jet, the inner regions will be magnetically dominated. As a result the main source of cooling is synchrotron and SSC. When becomes large, but still , the main source of cooling is the inverse Compton scattering off the broad line photons (seen strongly enhanced in the comoving frame). The adopted scaling between and the disc luminosity implies that, in the comoving frame, the external radiation energy density simply is:

 U′BLR∼Γ2LBLR4πR2BLRc=Γ212πergcm−3 (2)

where we have assumed that and cm. Beyond this energy density decreases fast, because it is not enhanced any longer by the Doppler boosting. There is, however, another important external component, if the source has a molecular torus re–emitting in the infrared the intercepted disc radiation. Again, we assume a scaling between the size of the torus, , and the disc luminosity of the kind cm. Assuming that the torus intercepts a fraction of the disc radiation, as long as the corresponding energy density measured in the comoving frame is:

 U′IR∼Γ2LIR4πR2IRc=10−2a−1Γ212πergcm−3 (3)

where . Comparing Eq. 2 with Eq. 3 we see that, going from inside to outside the BLR there is a “jump” of two orders of magnitudes in external radiation energy density, as shown in Fig. 1, as moves from just inside to just outside .

Note that the magnetic energy density becomes comparable with and only in a narrow range of distances, just beyond .

The different cooling rate reflects in a different electron energy distribution , having a break at a different defined as the random Lorentz factor of those electrons loosing half of their energy in one dynamical time:

 γc=3mec24σTRU′ (4)

If these are the electrons responsible for the peak of the SED, we expect a large difference between blazars emitting inside or outside the BLR. In fact, the jump in is only partly compensated by the increase of . Assume a change of a factor 3 in (between being inside and being outside the BLR), and a corresponding change of a factor 3 in the magnetic field (). Since the jump in is nearly 100, we expect that the peak synchrotron frequency of the region is larger than the one by a factor:

 νs,outνs,in∼Boutγ2c,outBinγ2c,in=BoutBin[RinU′inRoutU′out]2∼300 (5)

where the subscripts “out” and “in” stand for outside and inside the BLR. It follows that if a “standard” FSRQ with has a synchrotron peak at Hz, then a blue FSRQ – with just a factor 3 larger (sufficient to make – has a synchrotron peak at Hz, in the UV. The example above is only illustrative, since the different cooling will affect the shape of the particle distribution, not only its break, but it does explain the expected difference between “red” and “blue” FSRQs.

### 5.1 Physical parameters of blue FSRQs

The results of the models are shown in Fig. 2 and Fig. 3, and the model parameters are listed in Tab. 1 and 2. We alert the reader that since our model assume a one–zone emitting region, that must be quite compact, we cannot account for the radio emission, that must be produced in much larger regions, not to be self–absorbed. The observed self–absorbed synchrotron frequency of our model is typically 1000 GHz. Another concern is the value of the black hole mass. The model could estimate it if the accretion disc contribute to the optical–UV flux, but in all cases we found instead that it is dominated by the non–thermal beamed continuum. Therefore we simply assumed a black hole mass value similar to the average value (i.e. ) found in Sbarrato et al. (2012).

RX J0035.2+1515 and CRATES J0630–2406 — We have applied a SSC+EC model and a pure SSC model for both sources. In the first case the model assumes the presence of a standard, Shakura–Sunyaev disc and a reprocessing torus intercepting 10% of the disc radiation, and reemitting it in the IR. The accretion disc luminosity has been chosen to agree with the limits given in the previous section. The radiation produced by the torus, together with the (not greatly boosted) BLR emission is the dominant component for the inverse Compton scattering producing the very high energy flux, while the SSC component gives a comparable contribution in the X–ray band. In these cases , but only by a factor 1.5–2.5. The total (magnetic plus radiative) energy density as seen in the comoving frame is small, and the energy of the electrons emitting at the peaks of the SED is large. The synchrotron peak frequency is beyond Hz for both sources, and the synchrotron flux overwhelms the disc emission. The magnetic field is not far from equipartition with the radiation energy density, implying roughly equal synchrotron and Self Compton luminosities.

We have then applied a pure SSC model, to see if the presence of the disc and torus is required or not. As can be seen, this model can account for the IR––ray SED quite satisfactorily, at the cost of increasing the Doppler factor (achieved by increasing and decreasing ), and lowering the magnetic field.

Finally, we have assumed for RX J0035.2+1515 and we have applied a pure SSC model, to see if with this redshift the source could be fitted with the same parameters of high frequency BL Lacs. Indeed, we find consistent values, very similar to other sources of this kind (see Tavecchio et al. 2010; Ghisellini et al. 2010). From the point of view of model fitting, we cannot decide if RX J0035.2+1515 is a blue FSRQs or a high frequency peaked BL Lacs, but in any case we require a large and a small comoving energy density (see the discussion below).

SUMMS J053748–571828 and CRATES 1312–2156 — For these two sources we confirm the break in the bluest UVOT filters. In the absence of absorption, this break would be inconsistent with the extrapolation of the X–ray spectrum at lower frequencies. We have applied only one model, assuming the presence of a standard accretion disc and torus, and . With this redshift, the radio luminosity is large: this suggests that these sources are powerful FSRQs. Again, we have assumed a disc luminosity in agreement with the limits/indications found in the previous section, a torus re–emitting 5–10% of , and nearly twice . The bulk Lorentz factor () and viewing angle () are rather usual for Fermi FSRQs (Ghisellini et al. 2010). The assumption of implies a large and a small comoving energy density.

Concerning the jet power (see Tab. 2), our sources have values similar to the other Fermi blazars (studied in Ghisellini et al. 2010), but certainly not extreme, at the border between BL Lacs and FSRQs. Consider that since the average electron energy is large, there is little difference in considering the presence of one (cold) proton per emitting electron or not. Even a pure electron–positron pair jet would carry a similar total jet power.

The main finding of the modeling is that, in order to obtain a good agreement with the data, a large and a small energy density is required in any case, either if the model is a pure SSC or if it includes external radiation. Fig. 4 compares the obtained values of and with the ones of other –ray detected blazars. As can be seen, all our sources follow the same trend of other blazars. This implies that they are consistent with the explanation of the blazar sequence based on radiative cooling, as suggested in Ghisellini et al. (1998).

Rau et al. (2012) considered about 100 blazars, finding an upper limit on the redshift for the majority of them, and a photometric value for 11. Of the latter, only 4 (the ones considered by P12) have a flat optical shape (spectral index , ). The remaining blazars are then either closer or steeper. Therefore blue quasars (powerful blazars with ) are rare objects, as predicted in Ghisellini & Tavecchio (2008) on the basis of the small parameter space occupied by these sources. Consider also that if RX J0035.2+1515 is indeed at more moderate redshifts, it could become a high frequency peaked BL Lac, implying that blue quasars are even rarer. In turn this implies, in the framework of our model, that the dissipation region in the jet is almost always within the BLR.

## 6 The updated Fermi blazars’ sequence

Ghisellini, Maraschi & Tavecchio (2009) pointed out the existence of a well defined trend in the plane of the blazars detected after the first three months of Fermi observations. BL Lacs and FSRQs were separated in this plane, with BL Lacs having the flattest slopes. These were very bright blazars, detected at more than the level. Now the 2 years catalog is available, and we can compare the locations of the R12 sources in the updated version of the plane. Fig. 5 shows the results considering all BL Lacs (blue empty points) and all FSRQs (filled red circles) with redshift present in the clean 2LAC sample. What plotted is the [0.1–10 GeV] K–corrected luminosity. Overplotted to these sources, we show the blazars considered by R12 that have spectroscopic and photometric redshifts, together with the blazars for which the photometric analysis yields only a upper limit on the redshift (). For the latter sources, we have considered a range of redshifts, between 0.3 and , hence a range of . The choice of as the minimum possible redshift follows from the fact that, at smaller redshifts, the host galaxy starts to be visible. Note the following:

• Comparing this figure with the analogous figure in Ghisellini, Maraschi & Tavecchio (2009), the trend between and is now even more clear. Likely, this is due to the improved software analysis, assigning to the background more low energy photons than before. As a result, steep spectra () become flatter, while already flat sources are less affected. We recall that the observed trend is partly due to selection effects: when deeper surveys will be available, we will start to see slightly misaligned blazars of lower (and same ) as well as blazars with smaller black hole masses (and presumably with smaller ), so that the trend will be much more dispersed.

• R12 consider some blazars with spectroscopic redshift, but with no redshift indication in the 2LAC catalog. These are plotted with different symbols in Fig. 5. There are two groups: five blazars have a flat and are candidates to be high frequency peaked BL Lacs. The remaining ones are located in the region populated by FSRQs, and are then candidates to be normal FSRQs.

• The blazars with the estimated photometric redshift have all large . The 4 blazars studied here are the flattest. Remember that they were selected to have a flat optical spectrum: they also have a flat –ray spectrum. Fig. 5 shows how the blazar RX J0035.2+1515 would be located if its redshift were . In this case it would be a normal highly peaked BL Lac object.

• The blazars in R12 with only a limit on are located in the region of the plot already populated by sources with known . There are no outliers. The existence of very powerful BL Lac objects with flat –ray spectra is excluded. This agrees with the blazar sequence.

We can conclude that the observed boundary in the plane at large luminosities is not due to selection effects, namely to the difficulty to determine the redshifts of powerful BL Lac objects. It must have a physical origin. We (Ghisellini, Maraschi & Tavecchio 2009) have proposed that this is due to blazars with the largest black hole masses, accreting at different rates.

Small accretion rates correspond to weak discs: the ionizing luminosity is small, the broad line region is correspondingly weak and very close to the black hole (if still holds). Dissipation takes place beyond the BLR, the radiative cooling is weak, electrons reach high energies, and from an observational point of view we have a high frequency peaked BL Lac with no or very weak broad lines (being the synchrotron peak in the UV/X-ray, it is easier for the jet emission to overwhelm the weak disc and BLR emission). Increasing the accretion rate, we enter in the regime of radiatively efficient discs and then a normal BLR. If the jet dissipates mainly within the BLR, the radiative cooling is strong, implying a low frequency peaked FSRQs. Furthermore, if the jet power is proportional to the accretion rate , then is also linked with it, and therefore we have the chain: low low jet power + weak and small BLR flat + small . And the opposite for large . This chain can be repeated for each black hole mass. Of course, the lowest the black hole mass, the lowest the maximum .

## 7 Conclusions

We have studied the nature of a few blazars, whose redshift has been recently determined, photometrically, by Rau et al. (2012). In addition, we have considered all blazars for which Rau et al. (2012) could establish a lower limit on the redshift. Our conclusions agree with Padovani et al. (2012): the 4 blazars considered in our and their papers are probably FSRQs (with a residual doubt about the determination of the photometric redshift of RX J0035.2+1515, because the UVOT data analysis is complex).

Independently on the actual redshift of RX J0035.2+1515, all 4 blazars are “blue” (i.e. the synchrotron and the inverse Compton peak frequencies are large) because the radiative cooling is weak. If they do have broad lines, they are overwhelmed by the strong synchrotron emission. This agrees completely with the standard explanation of the blazar sequence. The fact that it was possible to estimate a photometric redshift for a few sources, out of a sample of nearly one hundred, confirms that these blue FSRQs are rare. This in turn implies that it is rare, for a jet, to produce most of the radiation we see at large distances from its black hole.

The found blue quasars can have accretion discs emitting at a level of a few per cent of the Eddington one, “normal” black hole masses (namely between and ) and bulk Lorentz factors. Their properties are similar to the average properties of other blazars.

We have considered the updated plane, considering all sources with spectroscopic redshifts within the 2LAC sample and including the blazars for which Rau et al. (2012) could estimate an upper limit on . We find no outliers in this plane: in other words, the upper limits on the redshift exclude the presence of very powerful BL Lacs. This confirms our previous explanation of the separation of BL Lacs and FSRQs in this plane based on a sequence of accretion rates.

## Acknowledgements

This research has made use of the NASA/IPAC Extragalactic Database (NED) which is operated by the Jet Propulsion Laboratory, California Institute of Technology, under contract with the National Aeronautics and Space Administration. Part of this work is based on archival data software or on–line services provided by the ASI Data Center (ASDS). This publication makes use of data products from the Wide-field Infrared Survey Explorer, which is a joint project of the University of California, Los Angeles, and the Jet Propulsion Laboratory/California Institute of Technology, funded by the National Aeronautics and Space Administration.

APPENDIX At a distance from the black hole of mass the jet dissipates part of its power and injects relativistic electrons throughout the emitting region, assumed to be spherical, with radius , with . In the region there is a tangled magnetic field . The relativistic electrons are injected with a smoothly joining broken power law in energy:

 Q(γ)=Q0(γ/γb)−s11+(γ/γb)−s1+s2[cm−3s−1] (6)

The energy particle distribution [cm] is calculated solving the continuity equation where particle injection, radiative cooling and pair production (via the process), are taken into account. The created pairs contribute to the emission.

The injection process lasts for a light crossing time , and we calculate at this time. This assumption comes from the fact that even if injection lasted longer, adiabatic losses caused by the expansion of the source (which is traveling while emitting) and the corresponding decrease of the magnetic field would make the observed flux to decrease. Therefore the calculated spectra correspond to the maximum of a flaring episode.

The total power injected into the source in the form of relativistic electrons is , where is the volume of the emitting region.

The bolometric luminosity of the accretion disc is . Above and below the accretion disc, in its inner parts, there is an X–ray emitting corona of luminosity (it is fixed at a level of 30% of ). Its spectrum is a power law of energy index ending with a exponential cut at 150 keV. The specific energy density (i.e. as a function of frequency) of the disc and the corona are calculated in the comoving frame of the emitting blob, and used to properly calculate the resulting External inverse Compton spectrum. The BLR is assumed to be a thin spherical shell, of radius cm. We consider also the presence of a IR torus, at larger distances. The internally produced synchrotron emission is used to calculate the synchrotron self Compton (SSC) flux. Table 1 lists the adopted parameters.

The power carried by the jet can be in the form of radiation (), magnetic field (), emitting electrons (, no cold electron component is assumed) and cold protons (, assuming one proton per emitting electron). All the powers are calculated as

 Pi=πR2Γ2βcU′i (7)

where is the energy density of the component, as measured in the comoving frame.

The power carried in the form of the produced radiation, , can be re–written as [using ]:

 Pr=L′Γ24=LΓ24δ4∼L14δ2 (8)

where is the total observed non–thermal luminosity ( is in the comoving frame) and is the radiation energy density produced by the jet (i.e. excluding the external components). The last equality assumes .

When calculating (the jet power in bulk motion of emitting electrons) we include their average energy, i.e. .

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