introduction
Ultra-relativistic heavy-ion collisions at the Large Hadron Collider (LHC) and Relativistic Heavy Ion Collider (RHIC) provide a unique arena for searching for a new form of nuclear matter, quark-gluon plasma (QGP), in which the degrees of freedom of the quarks and gluons in the protons and neutrons are released [1-5]. The strong interactions between the hard-scattered partons with the medium, referred to as the “jet quenching” phenomenon, open up new avenues to understand the properties of such a strongly-coupled quark matter [6-9] and test the fundamental theory of quantum chromodynamics (QCD) at the extremely hot and dense conditions [10-16]. In the past two decades, a series of tools have been extensively investigated to reveal this partonic strong interaction, such as the suppression factor RAA of high-pT hadron/jet [17-22], the momentum asymmetry of dijets [23-34], correlations of the vector boson associated jets (γ/Z0+jets) [35-40], the global event geometry [41, 42] and the jet substructures [43-52].
Because dijets are the dominant QCD processes in the hadron collisions in the experiment and are less influenced by the underlying background than inclusive jets, they exhibit a unique glamour in jet physics. The back-to-back configurations of the two leading jets in the transverse plane can significantly suppress the contribution of the underlying background of the jet reconstruction in both p+p and A+A collisions. In a vacuum, the parton shower effects and higher-order QCD processes may break the symmetry of the final-state dijets, leading to a deflection from the back-to-back azimuthal angle and an unequal transverse momentum between the leading and subleading jets. In A+A collisions, because the two jets usually experience asymmetric energy loss as traversing the QGP medium, the transverse momentum balance of dijets
Recently, the ATLAS Collaboration measured the dijet xJ in Xe+Xe collisions at
This paper presents the first theoretical study on medium modifications of the dijet pT–balance xJ in Xe+Xe collisions. The initial production of dijets was carried out using the POWHEG+PYTHIA8 prescription, which matches the next-to-leading-order (NLO) QCD matrix elements with the parton shower (PS) effect. The transport approach describes dijets’ in-medium evolution, which considers both elastic and inelastic partonic interactions in the quark-gluon plasma (QGP). First, we present the theoretical results of the dijet xJ in Xe+Xe collisions at
Theoretical framework
In this study, we generated next-to-leading-order (NLO) matrix elements for QCD jet processes [72] in the framework of POWHEG-BOX-V2 [73-75] and then simulated the parton shower (PS) with PYTHIA 8.309 [76] to produce p+p events. CT18NLO parton distribution functions (PDF) [77] were chosen for computation. The jets were reconstructed using the anti-kT clustering algorithm and the radius parameter R = 0.4, as implemented in the FastJet package [78]. Then, the two highest pT jets out of the set of jets in an event are selected as the dijet candidates. The leading jet transverse momentum pT,1 and subleading jet transverse momentum pT,2 must be greater than 100 GeV/c and 32 GeV/c, respectively. The two jets are required to be nearly back-to-back in azimuth with
We calculated the normalized xJ distributions in p+p collisions and compared them with the ATLAS data [55] as shown in Fig. 1. We observe that the xJ distributions calculated by POWHEG+PYTHIA8 provide decent descriptions at small value of xJ for all six different pT,1 intervals compared to the ATLAS data, except for a slight overestimation of xJ distributions compared to the ATLAS data near 1. At each pT interval, the xJ distribution peaks near

The in-medium evolution of both light- and heavy-flavor diets was simulated using the SHELL model [34, 79], which considers the elastic and inelastic partonic energy loss within the hot/dense QGP medium. The initial spatial distribution of hard scatterings was sampled using a Monte Carlo Glauber model [80]. Since the propagation of massive partons in the QCD medium can be viewed as “Brownian motion," the transport of heavy quarks can be well described by the modified Langevin equations,
For massless partons, the collisional energy loss is estimated by pQCD calculations within the Hard-Thermal Loop approximation [88, 89], whereas the same higher-twist formalism estimates their radiative contribution as for massive partons. The hydrodynamic time-space evolution of the QGP medium is described using CLVisc programs [90, 91], which provide the temperature and velocity of the expanding hot/dense nuclear matter. The SHELL model has been successfully applied in the study of heavy-flavor jets in high-energy nuclear collisions, which gives satisfactory descriptions on a series of experiment measurements, such as pT imbalance [34], radial profiles [79, 92-94] and fragmentation functions [95] of heavy-flavor jets, correlations of Z0+ HF hadron/jet [96, 97].
Numerical Results and Discussions
In Fig. 2a, we firstly show the dijet xJ distributions in Xe+Xe collisions at

Pb+Pb | Xe+Xe | |||||
---|---|---|---|---|---|---|
bmin (fm) | bmax (fm) | bmin (fm) | bmax (fm) | |||
0%-10% | 0 | 4.98 | 3.52 | 0 | 4.28 | 3.02 |
10%-20% | 4.98 | 7.05 | 6.10 | 4.28 | 6.05 | 5.24 |
20%-40% | 7.05 | 9.98 | 8.64 | 6.05 | 8.56 | 7.41 |
40%-80% | 9.98 | 14.11 | 12.22 | 8.56 | 12.12 | 10.49 |
The flavor dependence of the medium modification of dijet pT balance is also an interesting topic in heavy ion collisions. Because of the different color factors, the gluon-initiated jets are expected to lose more energy than the quark-initiated one as traversing the hot and dense nuclear matter, and the “dead-cone” effect also leads to smaller energy loss of heavy quarks than that of the light one [2, 18, 65-68]. An optimal step toward this goal is determining the flavor of the selected jets in nucleus-nucleus collisions using an infrared and collinear (IRC) safe jet algorithm. In recent years, four IRC-safe jet-algorithm-based approaches have been developed to identify the flavor of the underlying hard partons for the final-state reconstructed jets, called “flavor-kT” [98], “flavor anti-kT” [99], “flavor-dressing” [100] and “Interleaved Flavor Neutralisation (IFN)” [101]. In this study, we employ the IFN algorithm to identify the flavor of the reconstructed jets at the parton level for gluon jets, light-quark jets, and heavy-flavor jets in both p+p and nucleus-nucleus collisions. Because the flavor information of the jets is accessible at each stage of the clustering sequence, the IFN algorithm provides consistent flavor identification for both the full jets and their substructures. It should be noted that identifying gluon and quark jets in experiments remains challenging, although such identification can be achieved through Monte Carlo simulations based on the complete flavor information of the jet particles. Note that the IFN algorithm is applicable to all jets at the parton level but is currently only accessible for heavy-flavor jets at the hadron level. As the first theoretical exploration, in the present work, we identified the jet flavor at the parton level; hence, flavor identification of both inclusive dijets and heavy-flavor dijets could be efficiently implemented.
Using the IFN algorithm, inclusive dijet events can be classified into three categories: gluon-gluon (gg), quark-gluon (qg), and quark-quark (qq). In particular, by distinguishing the flavor of the leading jet, qg dijets can be further divided into q1g2 and g1q2, denoting the quark-jet-leading and gluon-jet-leading quark-gluon dijets, respectively. In the left column of Fig. 3, we show the normalized xJ distributions of gg, qg, qq, and inclusive dijets in both p+p and 0%-10% Xe+Xe collisions at

We also estimated the component fractions of the dijet sample in p+p and 0%-10% Xe+Xe collisions at

To quantify the overall shift in the xJ distribution in Xe+Xe collisions relative to p+p, we calculated the average values (

To quantitatively characterize the relative dijet yield suppression between the Xe+Xe and Pb+Pb collisions, the nuclear modification factors for the leading jets, ρXe,Pb(pT,1), are defined as follows (similarly, ρXe,Pb(pT,2) can be defined for subleading jets):

Conclusion
In this paper, we present the first investigation of the medium modifications of dijet pT balance (xJ) in Xe+Xe collisions at
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. https://arxiv.org/abs/2308.14538arXiv:2308.14538The authors declare that they have no competing interests.