A next-to-next-to-leading order calculation of soft-virtual cross sections

Abstract

We compute the next-to-next-to-leading order (NNLO) soft and virtual QCD corrections for the partonic cross section of colourless-final state processes in hadronic collisions. The results are valid to all orders in the dimensional regularization parameter $\ep$. The dependence of the results on a particular process is given through finite contributions to the one and two-loop amplitudes. To evaluate the accuracy of the soft-virtual approximation we compare it with the full NNLO result for Drell-Yan and Higgs boson production via gluon fusion. We also provide a universal expression for the hard coefficient needed to perform threshold resummation up to next-to-next-to-leading logarithmic (NNLL) accuracy.

arXiv comment25 pages, 4 figures

References in corpus (38)

• Parton distributions for the LHC
• A General Algorithm for Calculating Jet Cross Sections in NLO QCD
• Next-to-Next-to-Leading Order Higgs Production at Hadron Colliders
• Higgs boson production at hadron colliders in NNLO QCD
• HIGGS BOSON PRODUCTION AT THE LHC
• The Singular Behaviour of QCD Amplitudes at Two-loop Order
• NNLO corrections to the total cross section for Higgs boson production in hadron-hadron collisions
• The Dipole Formalism for the Calculation of QCD Jet Cross Sections at Next-to-Leading Order
• Soft-gluon resummation for Higgs boson production at hadron colliders
• The Resummation of Soft Gluon in Hadronic Collisions
• Soft Gluon Radiation in Higgs Boson Production at the LHC
• Infrared factorization of tree-level QCD amplitudes at the next-to-next-to-leading order and beyond
• Calculation of the quark and gluon form factors to three loops in QCD
• Higher-Order Soft Corrections to Lepton Pair and Higgs Boson Production
• Mixed QCD-electroweak corrections to Higgs boson production in gluon fusion
• Higgs Decay to Order α_s^4
• Quark and gluon form factors to three loops
• The Infrared Behavior of One-Loop Gluon Amplitudes at Next-to-Next-to-Leading Order
• The soft-gluon current at one-loop order
• Higgs production through gluon fusion: updated cross sections at the Tevatron and the LHC
• Higgs production in hadron collisions: soft and virtual QCD corrections at NNLO
• Diphoton production at hadron colliders: a fully-differential QCD calculation at NNLO
• Two-Loop g -> gg Splitting Amplitudes in QCD
• Factorization in One-Loop Gauge Theory
• Higher-Order threshold effects to inclusive processes in QCD
• The Two-loop Anomalous Dimension Matrix for Soft Gluon Exchange
• Threshold resummation for electroweak annihilation from DIS data
• Higgs production at the lHC
• Next-to-next-to-leading logarithmic threshold resummation for deep-inelastic scattering and the Drell-Yan process
• Singular terms of helicity amplitudes at one-loop in QCD and the soft limit of the cross sections of multi-parton processes
• On Sudakov and Soft resummations in QCD
• Two-loop splitting functions in QCD
• Analytic Results for Massless Three-Loop Form Factors
• Perturbative generation of a strange-quark asymmetry in the nucleon
• Higgs production at the LHC: updated cross sections at $\sqrt{s}=8$ TeV
• QCD threshold corrections to di-lepton and Higgs rapidity distributions beyond N${}^2$LO
• NNLO phase space master integrals for two-to-one inclusive cross sections in dimensional regularization
• Inclusive Higgs boson cross-section for the LHC at 8 TeV

Cited by in corpus (35)

• Higgs Boson Pair Production at Next-to-Next-to-Leading Order in QCD
• Universality of transverse-momentum resummation and hard factors at the NNLO
• Nested soft-collinear subtractions in NNLO QCD computations
• Two-loop virtual corrections to Higgs pair production
• Virtual corrections to Higgs boson pair production in the large top quark mass limit
• Threshold resummation at N${}^3$LL accuracy and soft-virtual cross sections at N${}^3$LO
• Drell-Yan Production at Threshold to Third Order in QCD
• Single soft gluon emission at two loops
• Approximate N^3LO Higgs-boson production cross section using physical-kernel constraints
• Higher order corrections to mixed QCD-EW contributions to Higgs production in gluon fusion
• Reconstruction of top-quark mass effects in Higgs pair production and other gluon-fusion processes
• Signal-background interference effects for $gg\to H\to W^{+}{W}^{-}$ beyond leading order
• Exact quark-mass dependence of the Higgs-gluon form factor at three loops in QCD
• Higgs boson production through $b\bar{b}$ annihilation at threshold in N${}^3$LO QCD
• On next to soft corrections to Drell-Yan and Higgs Boson productions
• Associated production of Higgs boson with vector boson at threshold N${}^3$LO in QCD
• Higgs Pair Production: Improved Description by Matrix Element Matching
• Higgs Rapidity Distribution in $b\bar{b}$ Annihilation at Threshold in N${}^3$LO QCD
• Triple Higgs production at hadron colliders at NNLO in QCD
• On next to soft threshold corrections to DIS and SIA processes
• Two-loop mixed QCD-EW corrections to $gg\to Hg$
• Soft gluon resummation for Higgs boson pair production including finite Mt effects
• Two-loop corrections to the triple Higgs boson production cross section
• The light-fermion contribution to the exact Higgs-gluon form factor in QCD
• Resummed Higgs boson cross section at next-to SV to $\mathrm{NNLO}+\overline{\mathrm{NNLL}}$
• Three-loop form factors for Higgs boson pair production in the large top mass limit
• Going beyond Soft plus Virtual
• Next-to-Next-to-Leading Order QCD Corrections in Models of TeV-Scale Gravity
• Double Higgs production at NNLO interfaced to parton showers in GENEVA
• Next to SV resummed prediction for pseudoscalar Higgs boson production at NNLO$+\overline{\text{NNLL}}$
• Threshold enhanced cross sections for colorless productions
• NNLO study of top-quark mass renormalization scheme uncertainties in Higgs boson production
• The Higgs-gluon form factor at three loops in QCD with three mass scales
• The analytic leading color contribution to the Higgs-gluon form factor in QCD at NNLO
• Two-loop mixed QCD-EW corrections to neutral current Drell-Yan