Linearized Boltzmann-Langevin model for heavy quark transport in hot and dense QCD matter

Ke, Weiyao; Xu, Yingru; Bass, Steffen A.

doi:10.1103/physrevc.98.064901

Title: Linearized Boltzmann-Langevin model for heavy quark transport in hot and dense QCD matter

Journal Article · Wed Dec 05 00:00:00 EST 2018 · Physical Review C

DOI:https://doi.org/10.1103/physrevc.98.064901· OSTI ID:1609632

Ke, Weiyao ^[1]; Xu, Yingru ^[1]; Bass, Steffen A. ^[1]

Duke Univ., Durham, NC (United States)

In relativistic heavy-ion collisions, the production of heavy quarks at large transverse momenta is strongly suppressed compared to proton-proton collisions. In addition, an unexpectedly large azimuthal anisotropy was observed for the emission of charmed hadrons in noncentral collisions. Both observations pose challenges to the theoretical understanding of the coupling between heavy quarks and the quark-gluon plasma produced in these collisions. Transport models for the evolution of heavy quarks in a QCD medium offer the opportunity to study these effects; two of the most successful approaches are based on the linearized Boltzmann transport equation and the Langevin equation. In this work, we develop a hybrid transport model that combines the strengths of both of these approaches: Heavy quarks scatter with medium partons using matrix-elements calculated in perturbative QCD, while between these discrete hard scatterings they evolve using a Langevin equation with empirical transport coefficients to capture the nonperturbative soft part of the interaction. With the hybrid transport model coupled to a state-of-the-art event-by-event bulk evolution model based on 2+1D relativistic viscous fluid dynamics, we study the azimuthal anisotropy and nuclear modification factor of heavy quarks in Pb+Pb collisions at √s = 5.02 TeV. The parameters related to heavy-flavor transport are calibrated using a Bayesian analysis comparing them to available D -meson and B -meson data at the Large Hadron Collider. Lastly, using the calibrated model, we study the implications on heavy-flavor transport properties and predict observables.

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Research Organization:: Duke Univ., Durham, NC (United States)

Sponsoring Organization:: USDOE Office of Science (SC); National Science Foundation (NSF)

Grant/Contract Number:: FG02-05ER41367; OAC-1550225

OSTI ID:: 1609632

Alternate ID(s):: OSTI ID: 1484555

Journal Information:: Physical Review C, Vol. 98, Issue 6; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 63 works

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References (62)

The p _T spectrum in heavy-flavour hadroproduction Cacciari, Matteo; Greco, Mario; Nason, Paolo Journal of High Energy Physics, Vol. 1998, Issue 05 https://doi.org/10.1088/1126-6708/1998/05/007	journal	May 1998
Heavy-quark dynamics and hadronization in ultrarelativistic heavy-ion collisions: Collisional versus radiative energy loss Cao, Shanshan; Qin, Guang-You; Bass, Steffen A. Physical Review C, Vol. 88, Issue 4 https://doi.org/10.1103/PhysRevC.88.044907	journal	October 2013
$D_{s}$ Meson as a Quantitative Probe of Diffusion and Hadronization in Nuclear Collisions He, Min; Fries, Rainer J.; Rapp, Ralf Physical Review Letters, Vol. 110, Issue 11 https://doi.org/10.1103/PhysRevLett.110.112301	journal	March 2013
Microscopic models for ultrarelativistic heavy ion collisions Bass, S. Progress in Particle and Nuclear Physics, Vol. 41 https://doi.org/10.1016/S0146-6410(98)00058-1	journal	January 1998
Effective field theory approach to open heavy flavor production in heavy-ion collisions Kang, Zhong-Bo; Ringer, Felix; Vitev, Ivan Journal of High Energy Physics, Vol. 2017, Issue 3 https://doi.org/10.1007/JHEP03(2017)146	journal	March 2017
Charm meson scattering cross sections by pion and rho meson Lin, Ziwei; Di, T. G.; Ko, C. M. Nuclear Physics A, Vol. 689, Issue 3-4 https://doi.org/10.1016/S0375-9474(00)00611-4	journal	July 2001
Consistency of Perfect Fluidity and Jet Quenching in Semi-Quark-Gluon Monopole Plasmas Xu, Jiechen; Liao, Jinfeng; Gyulassy, Miklos Chinese Physics Letters, Vol. 32, Issue 9 https://doi.org/10.1088/0256-307X/32/9/092501	journal	August 2015
Charmonium properties in hot quenched lattice QCD Ding, H. -T.; Francis, A.; Kaczmarek, O. Physical Review D, Vol. 86, Issue 1 https://doi.org/10.1103/PhysRevD.86.014509	journal	July 2012
Elastic and radiative heavy quark interactions in ultra-relativistic heavy-ion collisions Uphoff, Jan; Fochler, Oliver; Xu, Zhe Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 11 https://doi.org/10.1088/0954-3899/42/11/115106	journal	October 2015
Bremsstrahlung and Pair Production in Condensed Media at High Energies Migdal, A. B. Physical Review, Vol. 103, Issue 6 https://doi.org/10.1103/PhysRev.103.1811	journal	September 1956
Equation of state in ( $2 + 1$ )-flavor QCD Bazavov, A.; Bhattacharya, Tanmoy; DeTar, C. Physical Review D, Vol. 90, Issue 9 https://doi.org/10.1103/PhysRevD.90.094503	journal	November 2014
Nonperturbative estimate of the heavy quark momentum diffusion coefficient Francis, A.; Kaczmarek, O.; Laine, M. Physical Review D, Vol. 92, Issue 11 https://doi.org/10.1103/PhysRevD.92.116003	journal	December 2015
Causal viscous hydrodynamics in 2 + 1 dimensions for relativistic heavy-ion collisions Song, Huichao; Heinz, Ulrich Physical Review C, Vol. 77, Issue 6 https://doi.org/10.1103/PhysRevC.77.064901	journal	June 2008
Erratum: Pre-equilibrium evolution effects on heavy-ion collision observables [Phys. Rev. C 91 , 064906 (2015)] Liu, Jia; Shen, Chun; Heinz, Ulrich Physical Review C, Vol. 92, Issue 4 https://doi.org/10.1103/PhysRevC.92.049904	journal	October 2015
Constraining the Equation of State of Superhadronic Matter from Heavy-Ion Collisions Pratt, Scott; Sangaline, Evan; Sorensen, Paul Physical Review Letters, Vol. 114, Issue 20 https://doi.org/10.1103/PhysRevLett.114.202301	journal	May 2015
One-Loop Self Energies at Finite Temperature Peshier, André; Schertler, Klaus; Thoma, Markus H. Annals of Physics, Vol. 266, Issue 1 https://doi.org/10.1006/aphy.1997.5781	journal	June 1998
Nuclear Modification Factor of D0 Meson in Au + Au Collisions at <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msqrt><mml:msub><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi><mml:mi>N</mml:mi></mml:mrow></mml:msub></mml:msqrt><mml:mo>=</mml:mo><mml:mn>200</mml:mn><mml:mtext> GeV</mml:mtext></mml:math> Xie, Guannan Nuclear Physics A, Vol. 956 https://doi.org/10.1016/j.nuclphysa.2016.01.046	journal	December 2016
Quarkonia and heavy-quark relaxation times in the quark-gluon plasma Riek, F.; Rapp, R. Physical Review C, Vol. 82, Issue 3 https://doi.org/10.1103/PhysRevC.82.035201	journal	September 2010
Open Charm and Beauty at Ultrarelativistic Heavy Ion Colliders Djordjevic, Magdalena; Gyulassy, Miklos; Wicks, Simon Physical Review Letters, Vol. 94, Issue 11 https://doi.org/10.1103/PhysRevLett.94.112301	journal	March 2005
Quantifying properties of hot and dense QCD matter through systematic model-to-data comparison Bernhard, Jonah E.; Marcy, Peter W.; Coleman-Smith, Christopher E. Physical Review C, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevC.91.054910	journal	May 2015
Toward an understanding of the single electron data measured at the BNL Relativistic Heavy Ion Collider (RHIC) Gossiaux, P. B.; Aichelin, J. Physical Review C, Vol. 78, Issue 1 https://doi.org/10.1103/PhysRevC.78.014904	journal	July 2008
Applying Bayesian parameter estimation to relativistic heavy-ion collisions: Simultaneous characterization of the initial state and quark-gluon plasma medium Bernhard, Jonah E.; Moreland, J. Scott; Bass, Steffen A. Physical Review C, Vol. 94, Issue 2 https://doi.org/10.1103/PhysRevC.94.024907	journal	August 2016
The open science grid Pordes, Ruth; Petravick, Don; Kramer, Bill Journal of Physics: Conference Series, Vol. 78 https://doi.org/10.1088/1742-6596/78/1/012057	journal	July 2007
Results of a systematic study of dijet suppression measured at the BNL Relativistic Heavy Ion Collider Coleman-Smith, C. E.; Müller, B. Physical Review C, Vol. 86, Issue 5 https://doi.org/10.1103/PhysRevC.86.054901	journal	November 2012
Thermalization of gluons in ultrarelativistic heavy ion collisions by including three-body interactions in a parton cascade Xu, Zhe; Greiner, Carsten Physical Review C, Vol. 71, Issue 6 https://doi.org/10.1103/PhysRevC.71.064901	journal	June 2005
Measurement of $D^{0}$ Azimuthal Anisotropy at Midrapidity in $Au + Au$ Collisions at $\sqrt{s_{N N}} = 200 GeV$ Adamczyk, L.; Adkins, J. K.; Agakishiev, G. Physical Review Letters, Vol. 118, Issue 21 https://doi.org/10.1103/PhysRevLett.118.212301	journal	May 2017
Model and parameter dependence of heavy quark energy loss in a hot and dense medium Cao, Shanshan; Qin, Guang-You; Bass, Steffen A. Journal of Physics G: Nuclear and Particle Physics, Vol. 40, Issue 8 https://doi.org/10.1088/0954-3899/40/8/085103	journal	June 2013
How much do heavy quarks thermalize in a heavy ion collision? Moore, Guy D.; Teaney, Derek Physical Review C, Vol. 71, Issue 6 https://doi.org/10.1103/PhysRevC.71.064904	journal	June 2005
Hadronization by color bremsstrahlung Gunion, J. F.; Bertsch, G. Physical Review D, Vol. 25, Issue 3 https://doi.org/10.1103/PhysRevD.25.746	journal	February 1982
Pre-equilibrium evolution effects on heavy-ion collision observables Liu, Jia; Shen, Chun; Heinz, Ulrich Physical Review C, Vol. 91, Issue 6 https://doi.org/10.1103/PhysRevC.91.064906	journal	June 2015
EPPS16: nuclear parton distributions with LHC data Eskola, Kari J.; Paakkinen, Petja; Paukkunen, Hannu The European Physical Journal C, Vol. 77, Issue 3 https://doi.org/10.1140/epjc/s10052-017-4725-9	journal	March 2017
Linearized Boltzmann transport model for jet propagation in the quark-gluon plasma: Heavy quark evolution Cao, Shanshan; Luo, Tan; Qin, Guang-You Physical Review C, Vol. 94, Issue 1 https://doi.org/10.1103/PhysRevC.94.014909	journal	July 2016
Relativistic hadron-hadron collisions in the ultra-relativistic quantum molecular dynamics model Bleicher, M.; Zabrodin, E.; Spieles, C. Journal of Physics G: Nuclear and Particle Physics, Vol. 25, Issue 9 https://doi.org/10.1088/0954-3899/25/9/308	journal	September 1999
Nuclear modification factor of D 0 mesons in PbPb collisions at $\sqrt{s_{NN}} = 5.02 TeV$ Sirunyan, A. M.; Tumasyan, A.; Adam, W. Physics Letters B, Vol. 782 https://doi.org/10.1016/j.physletb.2018.05.074	journal	July 2018
Radiative energy loss of high energy quarks and gluons in a finite-volume quark-gluon plasma Baier, R.; Dokshitzer, Yu. L.; Mueller, A. H. Nuclear Physics B, Vol. 483, Issue 1-2 https://doi.org/10.1016/S0550-3213(96)00553-6	journal	January 1997
Measurement of Prompt $D$ -Meson Production in $p − Pb$ Collisions at $\sqrt{s_{N N}} = 5.02 TeV$ Abelev, B.; Adam, J.; Adamová, D. Physical Review Letters, Vol. 113, Issue 23 https://doi.org/10.1103/PhysRevLett.113.232301	journal	December 2014
Estimating the charm quark diffusion coefficient and thermalization time from $D$ meson spectra at energies available at the BNL Relativistic Heavy Ion Collider and the CERN Large Hadron Collider Scardina, Francesco; Das, Santosh K.; Minissale, Vincenzo Physical Review C, Vol. 96, Issue 4 https://doi.org/10.1103/PhysRevC.96.044905	journal	October 2017
The Pilot Way to Grid Resources Using glideinWMS Sfiligoi, Igor; Bradley, Daniel C.; Holzman, Burt 2009 WRI World Congress on Computer Science and Information Engineering https://doi.org/10.1109/CSIE.2009.950	conference	March 2009
Radiative Energy Loss in a Finite Dynamical QCD Medium Djordjevic, Magdalena; Heinz, Ulrich Physical Review Letters, Vol. 101, Issue 2 https://doi.org/10.1103/PhysRevLett.101.022302	journal	July 2008
$D$ -Meson Azimuthal Anisotropy in Midcentral Pb-Pb Collisions at ${\sqrt{s}}_{N N} = 5.02 TeV$ Acharya, S.; Adamová, D.; Adolfsson, J. Physical Review Letters, Vol. 120, Issue 10 https://doi.org/10.1103/PhysRevLett.120.102301	journal	March 2018
Investigating the collision energy dependence of $η / s$ in the beam energy scan at the BNL Relativistic Heavy Ion Collider using Bayesian statistics Auvinen, Jussi; Bernhard, Jonah E.; Bass, Steffen A. Physical Review C, Vol. 97, Issue 4 https://doi.org/10.1103/PhysRevC.97.044905	journal	April 2018
Landau-Pomeranchuk-Migdal effect in QCD and radiative energy loss in a quark-gluon plasma Wang, Xin-Nian; Gyulassy, Miklos; Plümer, Michael Physical Review D, Vol. 51, Issue 7 https://doi.org/10.1103/PhysRevD.51.3436	journal	April 1995
Diffusion of charmed quarks in the quark-gluon plasma Svetitsky, Benjamin Physical Review D, Vol. 37, Issue 9 https://doi.org/10.1103/PhysRevD.37.2484	journal	May 1988
Fully quantum treatment of the Landau-Pomeranchik-Migdal effect in QED and QCD Zakharov, B. G. Journal of Experimental and Theoretical Physics Letters, Vol. 63, Issue 12 https://doi.org/10.1134/1.567126	journal	June 1996
Heavy Quark Jet Quenching with Collisional plus Radiative Energy Loss and Path Length Fluctuations Wicks, Simon; Horowitz, William; Djordjevic, Magdalena Nuclear Physics A, Vol. 783, Issue 1-4 https://doi.org/10.1016/j.nuclphysa.2006.11.102	journal	February 2007
Heavy quark diffusion in QCD and 𝒩 = 4 SYM at next-to-leading order Caron-Huot, Simon; Moore, Guy D. Journal of High Energy Physics, Vol. 2008, Issue 02 https://doi.org/10.1088/1126-6708/2008/02/081	journal	February 2008
Measurement of the $B^{\pm}$ Meson Nuclear Modification Factor in Pb-Pb Collisions at $\sqrt{s_{N N}} = 5.02 TeV$ Sirunyan, A. M.; Tumasyan, A.; Adam, W. Physical Review Letters, Vol. 119, Issue 15 https://doi.org/10.1103/PhysRevLett.119.152301	journal	October 2017
Nonperturbative Heavy-Quark Diffusion in the Quark-Gluon Plasma van Hees, H.; Mannarelli, M.; Greco, V. Physical Review Letters, Vol. 100, Issue 19 https://doi.org/10.1103/PhysRevLett.100.192301	journal	May 2008
Alternative ansatz to wounded nucleon and binary collision scaling in high-energy nuclear collisions Moreland, J. Scott; Bernhard, Jonah E.; Bass, Steffen A. Physical Review C, Vol. 92, Issue 1 https://doi.org/10.1103/PhysRevC.92.011901	journal	July 2015
Heavy and light flavor jet quenching at RHIC and LHC energies Cao, Shanshan; Luo, Tan; Qin, Guang-You Physics Letters B, Vol. 777 https://doi.org/10.1016/j.physletb.2017.12.023	journal	February 2018
nCTEQ15: Global analysis of nuclear parton distributions with uncertainties in the CTEQ framework Kovařík, K.; Kusina, A.; Ježo, T. Physical Review D, Vol. 93, Issue 8 https://doi.org/10.1103/PhysRevD.93.085037	journal	April 2016
Monte-Carlo model for elastic energy loss in a hydrodynamical background Auvinen, Jussi; Eskola, Kari J.; Renk, Thorsten Physical Review C, Vol. 82, Issue 2 https://doi.org/10.1103/PhysRevC.82.024906	journal	August 2010
Jet-medium interactions at NLO in a weakly-coupled quark-gluon plasma Ghiglieri, Jacopo; Moore, Guy D.; Teaney, Derek Journal of High Energy Physics, Vol. 2016, Issue 3 https://doi.org/10.1007/JHEP03(2016)095	journal	March 2016
Production of charm quarks in a parton cascade model for relativistic heavy ion collisions at $\sqrt{s_{NN}} = 200$ GeV Srivastava, Dinesh K.; Bass, Steffen A.; Chatterjee, Rupa Physical Review C, Vol. 96, Issue 6 https://doi.org/10.1103/PhysRevC.96.064906	journal	December 2017
Determining fundamental properties of matter created in ultrarelativistic heavy-ion collisions Novak, J.; Novak, K.; Pratt, S. Physical Review C, Vol. 89, Issue 3 https://doi.org/10.1103/PhysRevC.89.034917	journal	March 2014
Radiative parton processes in perturbative QCD: An improved version of the Gunion and Bertsch cross section from comparisons to the exact result Fochler, Oliver; Uphoff, Jan; Xu, Zhe Physical Review D, Vol. 88, Issue 1 https://doi.org/10.1103/PhysRevD.88.014018	journal	July 2013
Heavy quark momentum diffusion coefficient from lattice QCD Banerjee, Debasish; Datta, Saumen; Gavai, Rajiv Physical Review D, Vol. 85, Issue 1 https://doi.org/10.1103/PhysRevD.85.014510	journal	January 2012
Dissipative hydrodynamics for viscous relativistic fluids Heinz, Ulrich; Song, Huichao; Chaudhuri, A. K. Physical Review C, Vol. 73, Issue 3 https://doi.org/10.1103/PhysRevC.73.034904	journal	March 2006
Effective kinetic theory for high temperature gauge theories Arnold, Peter B.; Moore, Guy D.; Yaffe, Laurence G. Journal of High Energy Physics, Vol. 2003, Issue 01 https://doi.org/10.1088/1126-6708/2003/01/030	journal	January 2003
Measurement of Prompt $D^{0}$ Meson Azimuthal Anisotropy in Pb-Pb Collisions at $\sqrt{s_{N N}} = 5.02 TeV$ Sirunyan, A. M.; Tumasyan, A.; Adam, W. Physical Review Letters, Vol. 120, Issue 20 https://doi.org/10.1103/PhysRevLett.120.202301	journal	May 2018
The iEBE-VISHNU code package for relativistic heavy-ion collisions Shen, Chun; Qiu, Zhi; Song, Huichao Computer Physics Communications, Vol. 199 https://doi.org/10.1016/j.cpc.2015.08.039	journal	February 2016
Data-driven analysis for the temperature and momentum dependence of the heavy-quark diffusion coefficient in relativistic heavy-ion collisions Xu, Yingru; Bernhard, Jonah E.; Bass, Steffen A. Physical Review C, Vol. 97, Issue 1 https://doi.org/10.1103/PhysRevC.97.014907	journal	January 2018

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