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Title: Improved opacity expansion at NNLO for medium induced gluon radiation

Abstract

When an energetic parton propagates in a hot and dense QCD medium it loses energy by elastic scatterings or by medium-induced gluon radiation. The gluon radiation spectrum is suppressed at high frequency due to the LPM effect and encompasses two regimes that are known analytically: at high frequencies ω > ω c = q ^ L 2 , where q ^ is the jet quenching transport coefficient and L the length of the medium, the spectrum is dominated by a single hard scattering, whereas the regime ω < ωc is dominated by multiple low momentum transfers. In this paper, we extend a recent approach (dubbed the Improved Opacity Expansion (IOE)), which allows an analytic (and systematic) treatment beyond the multiple soft scattering approximation, matching this result with the single hard emission spectrum. We calculate in particular the NNLO correction analytically and numerically and show that it is strongly suppressed compared to the NLO indicating a fast convergence of the IOE scheme and thus, we conclude that it is sufficient to truncate the series at NLO. We also propose a prescription to compare the GW and the HTL potentials and relate their parameters for future phenomenological works.

Authors:
 [1];  [2]
+ Show Author Affiliations
  1. Brookhaven National Lab. (BNL), Upton, NY (United States); Univ. de Santiago de Compostela, Galicia (Spain). Inst. Galego de Física de Altas Enerxías (IGFAE)
  2. Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Laboratory Directed Research and Development (LDRD) Program; la Caixa Foundation; European Union (EU); Ministerio de Ciencia e Innovacion of Spain; Fulbright Comission
OSTI Identifier:
1737438
Report Number(s):
BNL-220725-2020-JAAM
Journal ID: ISSN 1029-8479; TRN: US2205318
Grant/Contract Number:  
SC0012704; 713673
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:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Barata, João, and Mehtar-Tani, Yacine. Improved opacity expansion at NNLO for medium induced gluon radiation. United States: N. p., 2020. Web. doi:10.1007/jhep10(2020)176.
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Barata, João, & Mehtar-Tani, Yacine. Improved opacity expansion at NNLO for medium induced gluon radiation. United States. https://doi.org/10.1007/jhep10(2020)176
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Barata, João, and Mehtar-Tani, Yacine. Tue . "Improved opacity expansion at NNLO for medium induced gluon radiation". United States. https://doi.org/10.1007/jhep10(2020)176. https://www.osti.gov/servlets/purl/1737438.
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@article{osti_1737438,
title = {Improved opacity expansion at NNLO for medium induced gluon radiation},
author = {Barata, João and Mehtar-Tani, Yacine},
abstractNote = {When an energetic parton propagates in a hot and dense QCD medium it loses energy by elastic scatterings or by medium-induced gluon radiation. The gluon radiation spectrum is suppressed at high frequency due to the LPM effect and encompasses two regimes that are known analytically: at high frequencies ω > ω c = q ^ L 2 , where q ^ is the jet quenching transport coefficient and L the length of the medium, the spectrum is dominated by a single hard scattering, whereas the regime ω < ωc is dominated by multiple low momentum transfers. In this paper, we extend a recent approach (dubbed the Improved Opacity Expansion (IOE)), which allows an analytic (and systematic) treatment beyond the multiple soft scattering approximation, matching this result with the single hard emission spectrum. We calculate in particular the NNLO correction analytically and numerically and show that it is strongly suppressed compared to the NLO indicating a fast convergence of the IOE scheme and thus, we conclude that it is sufficient to truncate the series at NLO. We also propose a prescription to compare the GW and the HTL potentials and relate their parameters for future phenomenological works.},
doi = {10.1007/jhep10(2020)176},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2020,
place = {United States},
year = {Tue Oct 27 00:00:00 EDT 2020},
month = {Tue Oct 27 00:00:00 EDT 2020}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1007/jhep10(2020)176
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