Analytic expressions for the planar master integrals in two-loop NLO EW light-fermion contributions to gg → ZH are derived via canonical differential equations and expressed using Goncharov polylogarithms or one-fold integrals over them.
Next-to-leading order corrections for $gg \to ZH$ with top quark mass dependence
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abstract
In this Letter, we present for the first time a calculation of the complete next-to-leading order corrections to the $gg \to ZH$ process. We use the method of small mass expansion to tackle the most challenging two-loop virtual amplitude, in which the top quark mass dependence is retained throughout the calculations. We show that our method provides reliable numeric results in all kinematic regions, and present phenomenological predictions for the total and differential cross sections at the Large Hadron Collider and its future upgrades. Our results are necessary ingredients towards reducing the theoretical uncertainties of the $pp \to ZH$ cross sections down to the percent-level, and provide important theoretical inputs for future precision experimental collider programs.
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The ggxy library implements NLO QCD corrections for gg→ZH and gg→ZZ with full top-quark mass dependence using high-energy and forward-limit expansions, validated against existing results and interfaced to POWHEG for parton-shower matching.
NLO+NLL QCD corrections to gluon-fusion ZH production increase the cross-section by ~20% and reduce scale uncertainties from 20% to 12% at LHC energies, combined with Drell-Yan N3LL results.
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Planar master integrals for two-loop NLO electroweak light-fermion contributions to $g g \rightarrow Z H$
Analytic expressions for the planar master integrals in two-loop NLO EW light-fermion contributions to gg → ZH are derived via canonical differential equations and expressed using Goncharov polylogarithms or one-fold integrals over them.
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ggxy: Fast and flexible NLO QCD corrections to gluon-initiated processes
The ggxy library implements NLO QCD corrections for gg→ZH and gg→ZZ with full top-quark mass dependence using high-energy and forward-limit expansions, validated against existing results and interfaced to POWHEG for parton-shower matching.
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Associated $ZH$ production in gluon fusion process at NLO+NLL
NLO+NLL QCD corrections to gluon-fusion ZH production increase the cross-section by ~20% and reduce scale uncertainties from 20% to 12% at LHC energies, combined with Drell-Yan N3LL results.