Two-loop QCD corrections to $ZH$ and off-shell $Z$ boson pair production in gluon fusion

Fuente: arXiv
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Hauptverfasser: Davies, Joshua, Grau, Dominik, Schönwald, Kay, Steinhauser, Matthias, Stremmer, Daniel, Vitti, Marco
Format: Preprint
Veröffentlicht: 2025
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author Davies, Joshua
Grau, Dominik
Schönwald, Kay
Steinhauser, Matthias
Stremmer, Daniel
Vitti, Marco
author_facet Davies, Joshua
Grau, Dominik
Schönwald, Kay
Steinhauser, Matthias
Stremmer, Daniel
Vitti, Marco
contents We compute two-loop corrections to the associated production of a Higgs boson with a $Z$ boson and to off-shell $Z$ boson pair production in the gluon fusion channel, mediated by a heavy quark. We perform deep expansions in the high-energy region and around the forward limit and show that their combination covers the whole phase space. Our results constitute the next-to-leading order virtual corrections to these processes. Their numerical evaluation is fast and the dependence on all parameters is maintained, thus a change of parameter values or renormalization scheme is straightforward. As a by-product of our calculation, we also obtain the two-loop heavy quark mediated virtual corrections to the processes of off-shell di-photon and photon-$Z$ production.
format Preprint
id arxiv_https___arxiv_org_abs_2509_07072
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Two-loop QCD corrections to $ZH$ and off-shell $Z$ boson pair production in gluon fusion
Davies, Joshua
Grau, Dominik
Schönwald, Kay
Steinhauser, Matthias
Stremmer, Daniel
Vitti, Marco
High Energy Physics - Phenomenology
We compute two-loop corrections to the associated production of a Higgs boson with a $Z$ boson and to off-shell $Z$ boson pair production in the gluon fusion channel, mediated by a heavy quark. We perform deep expansions in the high-energy region and around the forward limit and show that their combination covers the whole phase space. Our results constitute the next-to-leading order virtual corrections to these processes. Their numerical evaluation is fast and the dependence on all parameters is maintained, thus a change of parameter values or renormalization scheme is straightforward. As a by-product of our calculation, we also obtain the two-loop heavy quark mediated virtual corrections to the processes of off-shell di-photon and photon-$Z$ production.
title Two-loop QCD corrections to $ZH$ and off-shell $Z$ boson pair production in gluon fusion
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2509.07072