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 trans- verse 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 understandingmore »
- Authors:
-
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1712437
- Grant/Contract Number:
- SC0011090
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 10; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Heavy Ion Phenomenology
Citation Formats
Vaidya, Varun, and Yao, Xiaojun. Transverse momentum broadening of a jet in quark-gluon plasma: an open quantum system EFT. United States: N. p., 2020.
Web. doi:10.1007/jhep10(2020)024.
Vaidya, Varun, & Yao, Xiaojun. Transverse momentum broadening of a jet in quark-gluon plasma: an open quantum system EFT. United States. https://doi.org/10.1007/jhep10(2020)024
Vaidya, Varun, and Yao, Xiaojun. Mon .
"Transverse momentum broadening of a jet in quark-gluon plasma: an open quantum system EFT". United States. https://doi.org/10.1007/jhep10(2020)024. https://www.osti.gov/servlets/purl/1712437.
@article{osti_1712437,
title = {Transverse momentum broadening of a jet in quark-gluon plasma: an open quantum system EFT},
author = {Vaidya, Varun and Yao, Xiaojun},
abstractNote = {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 trans- verse 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.},
doi = {10.1007/jhep10(2020)024},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2020,
place = {United States},
year = {Mon Oct 05 00:00:00 EDT 2020},
month = {Mon Oct 05 00:00:00 EDT 2020}
}
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