Dilepton polarization as a signature of plasma anisotropy

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Main Authors: Coquet, Maurice, Du, Xiaojian, Ollitrault, Jean-Yves, Schlichting, Soeren, Winn, Michael
Format: Preprint
Published: 2023
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author Coquet, Maurice
Du, Xiaojian
Ollitrault, Jean-Yves
Schlichting, Soeren
Winn, Michael
author_facet Coquet, Maurice
Du, Xiaojian
Ollitrault, Jean-Yves
Schlichting, Soeren
Winn, Michael
contents We propose the angular distribution of lepton pairs produced in ultrarelativistic heavy-ion collisions as a probe of thermalization of the quark-gluon plasma. We focus on dileptons with invariant masses large enough that they are produced through quark-antiquark annihilation in the early stages of the collision. The angular distribution of the lepton in the rest frame of the pair then reflects the angular distribution of quark momenta. At early times, the transverse pressure of the quark-gluon plasma is larger than its longitudinal pressure as a result of the fast longitudinal expansion, which results in an oblate lepton distribution. By contrast, direct (Drell-Yan) production by quarks and antiquarks from incoming nuclei, whose momenta are essentially longitudinal, results in a prolate distribution. As the invariant mass increases, Drell-Yan gradually becomes the dominant source of dilepton production, and the lepton distribution evolves from oblate to prolate. The invariant mass at which the transition occurs is highly sensitive to the equilibration time of the quark-gluon plasma or, equivalently, the shear viscosity over entropy ratio $η/s$ in the early stages of the collision.
format Preprint
id arxiv_https___arxiv_org_abs_2309_00555
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Dilepton polarization as a signature of plasma anisotropy
Coquet, Maurice
Du, Xiaojian
Ollitrault, Jean-Yves
Schlichting, Soeren
Winn, Michael
Nuclear Theory
High Energy Physics - Experiment
High Energy Physics - Phenomenology
Nuclear Experiment
We propose the angular distribution of lepton pairs produced in ultrarelativistic heavy-ion collisions as a probe of thermalization of the quark-gluon plasma. We focus on dileptons with invariant masses large enough that they are produced through quark-antiquark annihilation in the early stages of the collision. The angular distribution of the lepton in the rest frame of the pair then reflects the angular distribution of quark momenta. At early times, the transverse pressure of the quark-gluon plasma is larger than its longitudinal pressure as a result of the fast longitudinal expansion, which results in an oblate lepton distribution. By contrast, direct (Drell-Yan) production by quarks and antiquarks from incoming nuclei, whose momenta are essentially longitudinal, results in a prolate distribution. As the invariant mass increases, Drell-Yan gradually becomes the dominant source of dilepton production, and the lepton distribution evolves from oblate to prolate. The invariant mass at which the transition occurs is highly sensitive to the equilibration time of the quark-gluon plasma or, equivalently, the shear viscosity over entropy ratio $η/s$ in the early stages of the collision.
title Dilepton polarization as a signature of plasma anisotropy
topic Nuclear Theory
High Energy Physics - Experiment
High Energy Physics - Phenomenology
Nuclear Experiment
url https://arxiv.org/abs/2309.00555