Threshold resummation at N${}^3$LL accuracy and soft-virtual cross sections at N${}^3$LO

Abstract

We consider QCD radiative corrections to the production of colourless high-mass systems in hadron collisions. We show that the recent computation of the soft-virtual corrections to Higgs boson production at N${}^3$LO [1] together with the universality structure of soft-gluon emission can be exploited to extract the general expression of the hard-virtual coefficient that contributes to threshold resummation at N${}^3$LL accuracy. The hard-virtual coefficient is directly related to the process-dependent virtual amplitude through a universal (process-independent) factorization formula that we explicitly evaluate up to three-loop order. As an application, we present the explicit expression of the soft-virtual N${}^3$LO corrections for the production of an arbitrary colourless system. In the case of the Drell-Yan process, we confirm the recent result of Ref.[2].

Slightly expanded text, one reference added, version published on NPB

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Cited by in corpus (18)

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• Higgs boson production through $b\bar{b}$ annihilation at threshold in N${}^3$LO QCD
• NNLO QCD$\times$EW corrections to Z production in the $q\bar{q}$ channel
• Leading large-x logarithms of the quark-gluon contributions to inclusive Higgs-boson and lepton-pair production
• Towards parton distribution functions with small-$x$ resummation: HELL 2.0
• Associated production of Higgs boson with vector boson at threshold N${}^3$LO in QCD
• Higgs Rapidity Distribution in $b\bar{b}$ Annihilation at Threshold in N${}^3$LO QCD
• Heavy neutrinos from gluon fusion
• Polarised Amplitudes and Soft-Virtual Cross Sections for $b\bar{b}\to ZH$ at NNLO in QCD
• Toward NNLL Threshold Resummation for Hadron Pair Production in Hadronic Collisions
• Resummed inclusive cross-section in Randall-Sundrum model at NNLO+NNLL
• Going beyond Soft plus Virtual
• Vector boson production in joint resummation
• NNLO mixed EW-QCD corrections to single vector boson production
• Selected topics on multi-loop calculations to Higgs boson properties and renormalization group functions