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.

arXiv comment19 pages, 1 figure. Version 2 is the final, published version of this article

References in corpus (62)

• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• Next-to-Next-to-Leading Order Higgs Production at Hadron Colliders
• The four-loop beta-function in Quantum Chromodynamics
• Higgs boson production at hadron colliders in NNLO QCD
• Multiloop integrals in dimensional regularization made simple
• HIGGS BOSON PRODUCTION AT THE LHC
• Summing Sudakov logarithms in B -> X_s + gamma in effective field theory
• High-precision QCD at hadron colliders: electroweak gauge boson rapidity distributions at NNLO
• New features of FORM
• JaxoDraw: A graphical user interface for drawing Feynman diagrams
• Soft-collinear effective theory and heavy-to-light currents beyond leading power
• NNLO corrections to the total cross section for Higgs boson production in hadron-hadron collisions
• The three-loop QCD $\beta$-function and anomalous dimensions
• The Four-Loop QCD Beta-Function and Anomalous Dimensions
• An automatized algorithm to compute infrared divergent multi-loop integrals
• QCD Effects in Higgs Physics
• Calculation of the quark and gluon form factors to three loops in QCD
• Dilepton rapidity distribution in the Drell-Yan process at NNLO in QCD
• QCD Decoupling at Four Loops
• HypExp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters
• Higher-Order Soft Corrections to Lepton Pair and Higgs Boson Production
• Higgs production and decay: Analytic results at next-to-leading order QCD
• Four-Loop Decoupling Relations for the Strong Coupling
• Reduze 2 - Distributed Feynman Integral Reduction
• Quark and gluon form factors to three loops
• The Infrared Behavior of One-Loop Gluon Amplitudes at Next-to-Next-to-Leading Order
• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• The soft-gluon current at one-loop order
• Dynamical Threshold Enhancement and Resummation in Drell-Yan Production
• Higgs production in hadron collisions: soft and virtual QCD corrections at NNLO
• The Infrared Behavior of One-Loop QCD Amplitudes at Next-to-Next-to-Leading Order
• Higgs boson gluon-fusion production at threshold in N3LO QCD
• Renormalization-Group Improved Prediction for Higgs Production at Hadron Colliders
• Two-Loop g -> gg Splitting Amplitudes in QCD
• High-precision calculation of multi-loop Feynman integrals by difference equations
• Virtual corrections to gg -> H to two loops in the heavy top limit
• Higher-Order threshold effects to inclusive processes in QCD
• Soft triple-real radiation for Higgs production at N3LO
• Resolution of singularities for multi-loop integrals
• Two-Loop QCD Corrections to the Helicity Amplitudes for $H\to$ 3 partons
• Higgs production in gluon fusion beyond NNLO
• Threshold resummation for electroweak annihilation from DIS data
• The two-loop hemisphere soft function
• 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
• FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions
• The two-loop soft current in dimensional regularization
• Two-loop splitting functions in QCD
• Analytic Results for Massless Three-Loop Form Factors
• Single soft gluon emission at two loops
• Real-Virtual contributions to the inclusive Higgs cross-section at N3LO
• The quark and gluon form factors to three loops in QCD through to O(eps^2)
• Soft Wilson lines in soft-collinear effective theory
• NNLO phase space master integrals for two-to-one inclusive cross sections in dimensional regularization
• Analytic Epsilon Expansions of Master Integrals Corresponding to Massless Three-Loop Form Factors and Three-Loop g-2 up to Four-Loop Transcendentality Weight
• Two-loop renormalization of Wilson loop for Drell-Yan production
• Scale dependence and collinear subtraction terms for Higgs production in gluon fusion at N3LO
• Higgs boson production at the LHC: NNLO partonic cross sections through order $\epsilon$ and convolutions with splitting functions to N${}^3$LO
• One-Loop Single-Real-Emission Contributions to $pp\to H+X$ at Next-to-Next-to-Next-to-Leading Order
• Jet mass with a jet veto at two loops and the universality of non-global structure
• The Complete Two-Loop Integrated Jet Thrust Distribution In Soft-Collinear Effective Theory

Cited by in corpus (61)

• Higgs boson gluon-fusion production in N3LO QCD
• Higgs boson gluon-fusion production at threshold in N3LO QCD
• Bootstrapping rapidity anomalous dimension for transverse-momentum resummation
• SusHi Bento: Beyond NNLO and the heavy-top limit
• The Drell-Yan cross section to third order in the strong coupling constant
• Algorithmic transformation of multi-loop master integrals to a canonical basis with CANONICA
• Elliptic Feynman integrals and pure functions
• Quark Transverse Parton Distribution at the Next-to-Next-to-Next-to-Leading Order
• Resummed Higgs cross section at N${}^3$LL
• Soft-virtual corrections to Higgs production at N${}^3$LO
• Transforming differential equations of multi-loop Feynman integrals into canonical form
• Soft Expansion of Double-Real-Virtual Corrections to Higgs Production at N${}^3$LO
• Drell-Yan $q_T$ Resummation of Fiducial Power Corrections at N${}^3$LL
• Higgs production in bottom-quark fusion to third order in the strong coupling
• Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N3LO
• Rapidity Distributions in Drell-Yan and Higgs Productions at Threshold to Third Order in QCD
• The Four Loop QCD Rapidity Anomalous Dimension
• On the Computation of Form Factors in Massless QCD with Finite Master Integrals
• Differential Higgs production at N3LO beyond threshold
• Higgs production in bottom quark fusion: Matching the 4- and 5-flavour schemes to third order in the strong coupling
• Quark and gluon form factors in four-loop QCD
• Double resummation for Higgs production
• Prospects for Higgs physics at energies up to 100 TeV
• 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
• Threshold resummation of the rapidity distribution for Drell-Yan production at NNLO+NNLL
• SCET approach to regularization-scheme dependence of QCD amplitudes
• Gluon jet function at three loops in QCD
• On next-to-leading power threshold corrections in Drell-Yan production at N${}^3$LO
• On next to soft corrections to Drell-Yan and Higgs Boson productions
• N${}^3$LO+N${}^3$LL QCD improved Higgs pair cross sections
• Higgs Boson Production via Gluon Fusion: Soft-Gluon Resummation including Mass Effects
• 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
• Pseudo-scalar Higgs Boson Production at Threshold N${}^3$LO and N${}^3$LL QCD
• Next-to-soft corrections for Drell-Yan and Higgs boson rapidity distributions beyond N${}^3$LO
• The two-loop soft function for heavy quark pair production at future linear colliders
• Threshold resummation of the rapidity distribution for Higgs production at NNLO+NNLL
• On next to soft threshold corrections to DIS and SIA processes
• Polarised Amplitudes and Soft-Virtual Cross Sections for $b\bar{b}\to ZH$ at NNLO in QCD
• Next-to SV resummed Drell-Yan cross section beyond leading-logarithm
• Mixed QCD-electroweak corrections to Higgs production via gluon fusion in the small mass approximation
• Polarized $q\bar{q}\to Z+$Higgs amplitudes at two loops in QCD: the interplay between vector and axial vector form factors and a pitfall in applying a non-anticommuting ${\gamma }_5$
• The Full-Color Two-Loop Four-Gluon Amplitude in $\mathcal{N}=2$ Super-QCD
• The Soft-Virtual Higgs Cross-section at N3LO and the Convergence of the Threshold Expansion
• Soft Theorem to Three Loops in QCD and $\mathcal{N}=4$ Super Yang-Mills Theory
• Going beyond Soft plus Virtual
• Next to SV resummed prediction for pseudoscalar Higgs boson production at NNLO$+\overline{\text{NNLL}}$
• Threshold enhanced cross sections for colorless productions
• Exact N${}^3$LO results for $q{q}^{\prime }\to H+X$
• A factorization approach to next-to-leading-power threshold logarithms
• Resummed next-to-soft corrections to rapidity distribution of Higgs Boson to $\text{NNLO}+\overline{\text{NNLL}}$
• Next-to-soft-virtual resummed rapidity distribution for Drell-Yan process to $\text{NNLO}+\overline{\text{NNLL}}$
• Precision QCD phenomenology of exotic spin-2 search at the LHC
• The Standard Model from the LHC to future colliders: a contribution to the Workshop "What Next" of INFN
• 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
• Selected topics on multi-loop calculations to Higgs boson properties and renormalization group functions
• Higher-Order Corrections to Higgs Boson Amplitudes with Full Quark Mass Dependence in Quantum Chromodynamics
• Modelling electroweak physics for the forward region