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 h...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin Heidelberg
2021
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| Online Access: | https://hdl.handle.net/1721.1/131549 |
| _version_ | 1826190197418622976 |
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| author | Vaidya, Varun Yao, Xiaojun |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Vaidya, Varun Yao, Xiaojun |
| author_sort | Vaidya, Varun |
| collection | MIT |
| description | 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 understanding jet quenching and jet substructure observables on both light and heavy quark jets as probes of the quark-gluon plasma. |
| first_indexed | 2024-09-23T08:36:34Z |
| format | Article |
| id | mit-1721.1/131549 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T08:36:34Z |
| publishDate | 2021 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1315492023-12-14T15:37:07Z Transverse momentum broadening of a jet in quark-gluon plasma: an open quantum system EFT Vaidya, Varun Yao, Xiaojun Massachusetts Institute of Technology. Center for Theoretical Physics 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 understanding jet quenching and jet substructure observables on both light and heavy quark jets as probes of the quark-gluon plasma. 2021-09-20T17:20:20Z 2021-09-20T17:20:20Z 2020-10-05 2020-10-11T03:23:14Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/131549 Journal of High Energy Physics. 2020 Oct 05;2020(10):24 PUBLISHER_CC en https://doi.org/10.1007/JHEP10(2020)024 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Vaidya, Varun Yao, Xiaojun Transverse momentum broadening of a jet in quark-gluon plasma: an open quantum system EFT |
| title | Transverse momentum broadening of a jet in quark-gluon plasma: an open quantum system EFT |
| title_full | Transverse momentum broadening of a jet in quark-gluon plasma: an open quantum system EFT |
| title_fullStr | Transverse momentum broadening of a jet in quark-gluon plasma: an open quantum system EFT |
| title_full_unstemmed | Transverse momentum broadening of a jet in quark-gluon plasma: an open quantum system EFT |
| title_short | Transverse momentum broadening of a jet in quark-gluon plasma: an open quantum system EFT |
| title_sort | transverse momentum broadening of a jet in quark gluon plasma an open quantum system eft |
| url | https://hdl.handle.net/1721.1/131549 |
| work_keys_str_mv | AT vaidyavarun transversemomentumbroadeningofajetinquarkgluonplasmaanopenquantumsystemeft AT yaoxiaojun transversemomentumbroadeningofajetinquarkgluonplasmaanopenquantumsystemeft |