# Event-Shape Engineering and Muon–Hadron Correlations with ALICE

###### Abstract

Angular correlations of two and more particles are a sensitive probe of
the initial state and the transport properties of the system produced in heavy-ion collisions.
Two recent results of the ALICE collaboration are presented.
Event-shape engineering, a novel method, is applied to Pb–Pb collisions which splits events within the same centrality interval into classes with different average flow. The results indicate an interplay between radial and elliptic flow likely related to the initial-state eccentricity.

In pp and p–Pb collisions, recent results revealed intriguing long-range
correlation structures reminiscent of features observed in heavy-ion
collisions. The use of forward detectors allowed to show that long-range correlation structures persist also at large rapidities in p–Pb collisions.

Event-Shape Engineering and Muon–Hadron Correlations with ALICE

Jan Fiete Grosse-Oetringhaus^{†}^{†}thanks: Speaker. for the ALICE collaboration

CERN

E-mail: jgrosseo@cern.ch

\abstract@cs

These proceedings present two recent results from the ALICE collaboration giving further insight into collective effects in Pb–Pb and p–Pb collisions. For the first result a novel technique, event-shape engineering, is applied to learn about the correlation between the initial state of the collision and the hydrodynamical expansion. The second result addresses the question if the intriguing ridge structures observed in high multiplicity p–Pb collisions range out to forward rapidities.

## 1 Event-Shape Engineering

The method of event-shape engineering [Schukraft:2012ah] exploits the large event-by-event variation of the coefficients [Abelev:2012di] which are correlated to the initial-state eccentricities [Heinz:2013th]. The idea is to split the events based on their initial geometry and study the effect on final-state observables in the event. In the analysis [Adam:2015eta] presented in these proceedings events are split by the event-by-event second-order reduced flow vector :

(1.0) |

where is the event multiplicity and runs over all charged particles. is determined in two different phase-space regions: called and called . Selecting in one region and studying in the other region (Fig. 1) shows that is correlated over several units of pseudorapidity. Tracks from are used to study the elliptic flow using the scalar-product method and spectra. Figure 2 presents the ratio of the -differential after selection over the inclusive sample. It can be seen that is larger for large and smaller for small as expected. In addition, the ratio is independent of suggesting that the selection actually acts on a global event property.

The next step is to study if other properties of the event change with the selection. Figure 3 presents the change to -spectra of , K, and p. One observes harder (softer) spectra for large (small) values of . The change in the spectra depends on the type of the particle. To quantify this effect a blast-wave fit [Schnedermann:1993ws] is performed. In the fit the temperature is kept fixed to the value of the inclusive spectra [Abelev:2013vea], while the radial expansion velocity is allowed to change. The fit describes the particle-species dependence well and a larger (smaller) is found for large (small) . This suggests a positive correlation of (which can be related to the initial-state eccentricity) with the radial expansion (which is related to the radial pressure gradient). These results will further constrain the initial-state and hydrodynamical modeling. More details can be found in [Adam:2015eta].

## 2 Forward Muon–Hadron Correlations

The intriguing discovery of the near-side ridge in high-multiplicity p–Pb collisions [CMS:2012qk] and a second ridge on the away side [alice_pa_ridge, atlasridge] resulted in significant experimental and theoretical work to study collective effects in small systems. Nowadays, the collective nature of the observed features in p–Pb collisions is rather well established based on a number of observations: the correlation structures show a typical particle-species dependence [ABELEV:2013wsa] and involve at least 8 particles [Khachatryan:2015waa].

The results reported in these proceedings study this structure at forward rapidities [Adam:2015bka]. Muons measured with the forward muon spectrometer () are correlated with tracklets measured at mid-rapidity (). Tracklets are reconstructed using the two innermost layers of the ALICE Inner Tracking System. Particles with a larger than about 50 can be reconstructed in this way. The measured muons contain contributions from pion and kaon decays which dominate below a of about 1.5 . Above 2 the muons stem mostly from heavy-flavor decays. The LHC collided p–Pb collisions at in two different beam configurations. The proton was either going towards the muon spectrometer (called p-going direction in the following) or in the opposite direction, thus the lead ion was going in direction of the muon spectrometer (called Pb-going direction). The center of mass system is shifted with respect to the lab system by depending on beam direction. Events are split into multiplicity classes based on the combined multiplicity measured in and denoted by V0S. Events with the 20% highest multiplicity are referred to with 0–20% in the following while 60–100% refers to events with the 40% lowest multiplicity. Two-particle correlations are measured as a function of azimuthal difference and pseudorapidity difference . In order to reduce the jet contribution, the two-particle correlation in the 60–100% event class is subtracted from the one in 0–20% event class [alice_pa_ridge]. Figure 4 presents two-particle correlations for p-going and Pb-going direction. A double-ridge structure is observed in both directions up to , thus out to . Projections of these correlations to are shown in Fig. 5 together with their Fourier decomposition:

(2.0) |

The second coefficient dominates in both beam directions. From the coefficient the relative modulation in the 0–20% event class can be calculated. Assuming that this modulation is caused by a modulation of the single-particle distribution with respect to a common symmetry plane, the corresponding coefficients [Aamodt:2011by] can be calculated with where is from two-particle correlations at mid-rapidity.

Figure 6 presents the extracted as a function of . The values are found to be slightly larger for Pb-going than for p-going direction possibly related to an event-plane decorrelation in -direction [Khachatryan:2015oea]. A comparison to the AMPT model [Lin:2004en, Xu:2011fi] is shown which follows the trend for low but underestimates the data at higher . This is interesting as at higher the muons are dominated by heavy-flavor decays while the of such muons in AMPT is zero. Thus this can be understood as a hint for a non-zero heavy-flavour in the data or a largely different particle composition. More details about these results can be found in [Adam:2015bka].