Wilson line correlators beyond the large-N c

Abstract We study hard 1 → 2 final-state parton splittings in the medium, and put special emphasis on calculating the Wilson line correlators that appear in these calculations. As partons go through the medium their color continuously rotates, an effect that is encapsulated in a Wilson line along th...

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Autores principales:	Johannes Hamre Isaksen, Konrad Tywoniuk
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Heavy Ion Phenomenology Jets Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/3e449919a4b34556b656bf9572f76517
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spelling	oai:doaj.org-article:3e449919a4b34556b656bf9572f765172021-11-21T12:41:30ZWilson line correlators beyond the large-N c10.1007/JHEP11(2021)1251029-8479https://doaj.org/article/3e449919a4b34556b656bf9572f765172021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)125https://doaj.org/toc/1029-8479Abstract We study hard 1 → 2 final-state parton splittings in the medium, and put special emphasis on calculating the Wilson line correlators that appear in these calculations. As partons go through the medium their color continuously rotates, an effect that is encapsulated in a Wilson line along their trajectory. When calculating observables, one typically has to calculate traces of two or more medium-averaged Wilson lines. These are usually dealt with in the literature by invoking the large-N c limit, but exact calculations have been lacking in many cases. In our work, we show how correlators of multiple Wilson lines appear, and develop a method to calculate them numerically to all orders in N c . Initially, we focus on the trace of four Wilson lines, which we develop a differential equation for. We will then generalize this calculation to a product of an arbitrary number of Wilson lines, and show how to do the exact calculation numerically, and even analytically in the large-N c limit. Color sub-leading corrections, that are suppressed with a factor N c − 2 $$ {N}_c^{-2} $$ relative to the leading scaling, are calculated explicitly for the four-point correlator and we discuss how to extend this method to the general case. These results are relevant for high-p T jet processes and initial stage physics at the LHC.Johannes Hamre IsaksenKonrad TywoniukSpringerOpenarticleHeavy Ion PhenomenologyJetsNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-38 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Heavy Ion Phenomenology Jets Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Heavy Ion Phenomenology Jets Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Johannes Hamre Isaksen Konrad Tywoniuk Wilson line correlators beyond the large-N c
description	Abstract We study hard 1 → 2 final-state parton splittings in the medium, and put special emphasis on calculating the Wilson line correlators that appear in these calculations. As partons go through the medium their color continuously rotates, an effect that is encapsulated in a Wilson line along their trajectory. When calculating observables, one typically has to calculate traces of two or more medium-averaged Wilson lines. These are usually dealt with in the literature by invoking the large-N c limit, but exact calculations have been lacking in many cases. In our work, we show how correlators of multiple Wilson lines appear, and develop a method to calculate them numerically to all orders in N c . Initially, we focus on the trace of four Wilson lines, which we develop a differential equation for. We will then generalize this calculation to a product of an arbitrary number of Wilson lines, and show how to do the exact calculation numerically, and even analytically in the large-N c limit. Color sub-leading corrections, that are suppressed with a factor N c − 2 $$ {N}_c^{-2} $$ relative to the leading scaling, are calculated explicitly for the four-point correlator and we discuss how to extend this method to the general case. These results are relevant for high-p T jet processes and initial stage physics at the LHC.
format	article
author	Johannes Hamre Isaksen Konrad Tywoniuk
author_facet	Johannes Hamre Isaksen Konrad Tywoniuk
author_sort	Johannes Hamre Isaksen
title	Wilson line correlators beyond the large-N c
title_short	Wilson line correlators beyond the large-N c
title_full	Wilson line correlators beyond the large-N c
title_fullStr	Wilson line correlators beyond the large-N c
title_full_unstemmed	Wilson line correlators beyond the large-N c
title_sort	wilson line correlators beyond the large-n c
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/3e449919a4b34556b656bf9572f76517
work_keys_str_mv	AT johanneshamreisaksen wilsonlinecorrelatorsbeyondthelargenc AT konradtywoniuk wilsonlinecorrelatorsbeyondthelargenc
_version_	1718418819110666240

Wilson line correlators beyond the large-N c

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