Non-global logarithms up to four loops at finite-N$_c$ for V/H+jet processes at hadron colliders

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1. Verfasser: Khelifa-Kerfa, K.
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Veröffentlicht: 2024
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author Khelifa-Kerfa, K.
author_facet Khelifa-Kerfa, K.
contents We extend our previous work [1] on calculating non-global logarithms in $e^+ e^-$ annihilation to Higgs/vector boson production in association with a single hard jet at hadron colliders. We analytically compute non-global coefficients in the jet mass distribution up to four loops using the anti-k$_t$ jet algorithm. Our calculations are performed in the eikonal approximation, assuming strong energy ordering for the emitted gluons, thus capturing only the leading logarithms of the distribution. We compare our analytical results with the all-orders large-N$_c$ numerical solution. In general, the gross features of the non-global logarithm distribution observed in the $e^+ e^-$ case remain valid for the V/H+jet processes.
format Preprint
id arxiv_https___arxiv_org_abs_2406_13753
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Non-global logarithms up to four loops at finite-N$_c$ for V/H+jet processes at hadron colliders
Khelifa-Kerfa, K.
High Energy Physics - Phenomenology
High Energy Physics - Theory
We extend our previous work [1] on calculating non-global logarithms in $e^+ e^-$ annihilation to Higgs/vector boson production in association with a single hard jet at hadron colliders. We analytically compute non-global coefficients in the jet mass distribution up to four loops using the anti-k$_t$ jet algorithm. Our calculations are performed in the eikonal approximation, assuming strong energy ordering for the emitted gluons, thus capturing only the leading logarithms of the distribution. We compare our analytical results with the all-orders large-N$_c$ numerical solution. In general, the gross features of the non-global logarithm distribution observed in the $e^+ e^-$ case remain valid for the V/H+jet processes.
title Non-global logarithms up to four loops at finite-N$_c$ for V/H+jet processes at hadron colliders
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2406.13753