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Two-loop helicity amplitudes for H+jet production to higher orders in the dimensional regulator


Gehrmann, Thomas; Jakubčík, Petr; Mella, Cesare Carlo; Syrrakos, Nikolaos; Tancredi, Lorenzo (2023). Two-loop helicity amplitudes for H+jet production to higher orders in the dimensional regulator. Journal of High Energy Physics, 2023(4):16.

Abstract

In view of the forthcoming High-Luminosity phase of the LHC, next-to-next-to-next-to-leading (N$^{3}$LO) calculations for the most phenomenologically relevant processes become necessary. In this work, we take the first step towards this goal for H+jet production by computing the one- and two-loop helicity amplitudes for the two contributing processes, H → ggg, $$ H\to q\overline{q}g $$, in an effective theory with infinite top quark mass, to higher orders in the dimensional regulator. We decompose the amplitude in scalar form factors related to the helicity amplitudes and in a new basis of tensorial structures. The form factors receive contributions from Feynman integrals which were reduced to a novel canonical basis of master integrals. We derive and solve a set of differential equations for these integrals in terms of Multiple Polylogarithms (MPLs) of two variables up to transcendental weight six.

Abstract

In view of the forthcoming High-Luminosity phase of the LHC, next-to-next-to-next-to-leading (N$^{3}$LO) calculations for the most phenomenologically relevant processes become necessary. In this work, we take the first step towards this goal for H+jet production by computing the one- and two-loop helicity amplitudes for the two contributing processes, H → ggg, $$ H\to q\overline{q}g $$, in an effective theory with infinite top quark mass, to higher orders in the dimensional regulator. We decompose the amplitude in scalar form factors related to the helicity amplitudes and in a new basis of tensorial structures. The form factors receive contributions from Feynman integrals which were reduced to a novel canonical basis of master integrals. We derive and solve a set of differential equations for these integrals in terms of Multiple Polylogarithms (MPLs) of two variables up to transcendental weight six.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Scopus Subject Areas:Physical Sciences > Nuclear and High Energy Physics
Uncontrolled Keywords:Nuclear and High Energy Physics
Language:English
Date:4 April 2023
Deposited On:22 Dec 2023 12:52
Last Modified:12 Jul 2024 03:18
Publisher:Springer
ISSN:1029-8479
OA Status:Gold
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1007/jhep04(2023)016
  • Content: Published Version
  • Language: English
  • Licence: Creative Commons: Attribution 4.0 International (CC BY 4.0)