Transverse Momentum Broadening of a Jet in Quark-Gluon Plasma: An Open Quantum System EFT

Abstract

We utilize the technology of open quantum systems in conjunction with the recently developed effective field theory for forward scattering to address the question of massless jet propagation through a weakly-coupled quark-gluon plasma in thermal equilibrium. We discuss various possible hierarchies of scales that may appear in this problem, by comparing thermal scales of the plasma with relevant scales in the effective field theory. Starting from the Lindblad equation, we derive and solve a master equation for the transverse momentum distribution of a massless quark jet, at leading orders both in the strong coupling and in the power counting of the effective field theory. Markovian approximation is justified in the weak coupling limit. Using the solution to the master equation, we study the transverse momentum broadening of a jet as a function of the plasma temperature and the time of propagation. We discuss the physical origin of infrared sensitivity that arises in the solution and a way to handle it in the effective field theory formulation. We suspect that the final measurement constraint can only cut-off leading infrared singularities and the solution to the Markovian master equation resums a logarithmic series. This work is a stepping stone towards understanding jet quenching and jet substructure observables on both light and heavy quark jets as probes of the quark-gluon plasma.

41 pages, 1 figure; v2: minor change; v3: no change in the paper, only to update journal ref and doi, trying to fix a double-journal-ref problem in inspire

References in corpus (12)

• Calculating the Jet Quenching Parameter from AdS/CFT
• The Zero-Bin and Mode Factorization in Quantum Field Theory
• Jet physics in heavy-ion collisions
• Light quark energy loss in strongly-coupled N = 4 supersymmetric Yang-Mills plasma
• Heavy quark master equations in the Lindblad form at high temperatures
• Small Shear Viscosity of a Quark-Gluon Plasma Implies Strong Jet Quenching
• Finite-size effects on the radiative energy loss of a fast parton in hot and dense strongly interacting matter
• Jet quenching phenomenology from soft-collinear effective theory with Glauber gluons
• Longitudinal Broadening of Quenched Jets in Turbulent Color Fields
• Sonic Mach Cones Induced by Fast Partons in a Perturbative Quark-Gluon Plasma
• The sound produced by a fast parton in the quark-gluon plasma is a "crescendo"
• Quarkonium Production in Heavy Ion Collisions: From Open Quantum System to Transport Equation

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• Liouvillian Dynamics of the Open Schwinger Model: String Breaking and Kinetic Dissipation in a Thermal Medium
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• Measurements of jet quenching using semi-inclusive hadron+jet distributions in pp and central Pb$-$Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV
• Pure Quark and Gluon Observables in Collinear Drop
• Quantum to classical parton dynamics in QCD media
• Effective Field Theory Factorization for Diffraction
• Exploiting $\nu$-dependence of projected energy correlators in HICs
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