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Title: A complete set of in-medium splitting functions to any order in opacity

Abstract

In this Letter we report the first calculation of all Ο (α S) medium-induced branching processes to any order in opacity. Our splitting functions results are presented as iterative solutions to matrix equations with initial conditions set by the leading order branchings in the vacuum. The flavor and quark mass dependence of the in-medium q → qg, g → gg, q → gq, g → q$$\bar{q}$$ processes is fully captured by the light-front wavefunction formalism and the color representation of the parent and daughter partons. We include the explicit solutions to second order in opacity as supplementary material and present numerical results in a realistic strongly-interacting medium produced in high center-of-mass energy heavy ion collisions at the Large Hadron Collider. Our numerical simulations show that the second order in opacity corrections can change the energy dependence of the in-medium shower intensity. We further find corrections to the longitudinal and angular distributions of the in-medium splitting kernels that may have important implications for jet substructure phenomenology.

Authors:
ORCiD logo [1]; ORCiD logo [2];  [2]
  1. Rutgers Univ., Piscataway, NJ (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); USDOE Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
1529545
Report Number(s):
LA-UR-19-22343
Journal ID: ISSN 0370-2693
Grant/Contract Number:  
89233218CNA000001; AC52-06NA25396; SC0019175
Resource Type:
Accepted Manuscript
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Name: Physics Letters. Section B; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Sievert, Matthew D., Vitev, Ivan, and Yoon, Boram. A complete set of in-medium splitting functions to any order in opacity. United States: N. p., 2019. Web. doi:10.1016/j.physletb.2019.06.019.
Sievert, Matthew D., Vitev, Ivan, & Yoon, Boram. A complete set of in-medium splitting functions to any order in opacity. United States. doi:10.1016/j.physletb.2019.06.019.
Sievert, Matthew D., Vitev, Ivan, and Yoon, Boram. Thu . "A complete set of in-medium splitting functions to any order in opacity". United States. doi:10.1016/j.physletb.2019.06.019. https://www.osti.gov/servlets/purl/1529545.
@article{osti_1529545,
title = {A complete set of in-medium splitting functions to any order in opacity},
author = {Sievert, Matthew D. and Vitev, Ivan and Yoon, Boram},
abstractNote = {In this Letter we report the first calculation of all Ο (αS) medium-induced branching processes to any order in opacity. Our splitting functions results are presented as iterative solutions to matrix equations with initial conditions set by the leading order branchings in the vacuum. The flavor and quark mass dependence of the in-medium q → qg, g → gg, q → gq, g → q$\bar{q}$ processes is fully captured by the light-front wavefunction formalism and the color representation of the parent and daughter partons. We include the explicit solutions to second order in opacity as supplementary material and present numerical results in a realistic strongly-interacting medium produced in high center-of-mass energy heavy ion collisions at the Large Hadron Collider. Our numerical simulations show that the second order in opacity corrections can change the energy dependence of the in-medium shower intensity. We further find corrections to the longitudinal and angular distributions of the in-medium splitting kernels that may have important implications for jet substructure phenomenology.},
doi = {10.1016/j.physletb.2019.06.019},
journal = {Physics Letters. Section B},
number = ,
volume = ,
place = {United States},
year = {2019},
month = {6}
}

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