N${}^3$LO Higgs and Drell-Yan production at threshold: the one-loop two-emission contribution

Abstract

In this paper, we study phenomenologically interesting soft radiation distributions in massless QCD. Specifically, we consider the emission of two soft partons off of a pair of light-like Wilson lines, in either the fundamental or the adjoint representation, at next-to-leading order. Our results are an essential component of the next-to-next-to-next-to-leading order threshold corrections to both Higgs boson production in the gluon fusion channel and Drell-Yan lepton production. Our calculations are consistent with the recently published results for Higgs boson production. As a non-trivial cross-check on our analysis, we rederive a recent prediction for the Drell-Yan threshold cross section using a completely different strategy. Our results are compact, valid to all orders in the dimensional regularization parameter, and expressed in terms of pure functions.

19 pages, 1 figure. Version 2 is the final, published version of this article

References in corpus (9)

• Quark and gluon form factors to three loops
• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• Dynamical Threshold Enhancement and Resummation in Drell-Yan Production
• Higgs boson gluon-fusion production at threshold in N3LO QCD
• Higher-Order threshold effects to inclusive processes in QCD
• Resolution of singularities for multi-loop integrals
• Resummation of Threshold Logarithms in Effective Field Theory For DIS, Drell-Yan and Higgs Production
• Origin of the Large Perturbative Corrections to Higgs Production at Hadron Colliders
• Analytic Epsilon Expansions of Master Integrals Corresponding to Massless Three-Loop Form Factors and Three-Loop g-2 up to Four-Loop Transcendentality Weight

Cited by in corpus (18)

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• Resummed Higgs cross section at N${}^3$LL
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• Rapidity Distributions in Drell-Yan and Higgs Productions at Threshold to Third Order in QCD
• Higgs production in bottom quark fusion: Matching the 4- and 5-flavour schemes to third order in the strong coupling
• 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
• Adequate bases of phase space master integrals for $gg\to h$ at NNLO and beyond
• The three loop soft function for N${}^3$LL${}^{\prime }$ gluon fusion Higgs production in SCET
• Polarised Amplitudes and Soft-Virtual Cross Sections for $b\bar{b}\to ZH$ at NNLO in QCD
• The Soft-Virtual Higgs Cross-section at N3LO and the Convergence of the Threshold Expansion
• A factorization approach to next-to-leading-power threshold logarithms
• One-loop triple collinear splitting amplitudes in QCD
• NNLO mixed EW-QCD corrections to single vector boson production
• One-loop Single Real Emission Contributions to Inclusive Higgs Production at NNNLO
• Modelling electroweak physics for the forward region
• Selected topics on multi-loop calculations to Higgs boson properties and renormalization group functions