Higher-Order Soft Corrections to Lepton Pair and Higgs Boson Production

Abstract

Utilizing recent three-loop results on the quark and gluon splitting functions and form factors, we derive the complete threshold-enhanced third-order (N^3LO) QCD corrections to the total cross sections for the production of lepton pairs and the Higgs boson in hadron collisions. These results, for the latter case obtained in the heavy top-quark limit, are employed to extend the threshold resummation for these processes to the fourth logarithmic order. We investigate the numerical impact of the higher-order corrections for Higgs boson production at the Tevatron and the LHC. Our results, suitably treated in Mellin N-space, provide a sufficiently accurate approximation to the full N^3LO contributions. Corrections of about 5% at the LHC and 10% at the Tevatron are found for typical Higgs masses. The N^3LO predictions exhibit a considerably reduced dependence on the renormalization scale with, for the first time, stationary points close to the Higgs mass.

11 pages, LaTeX, 2 eps-figures. Slightly revised text of journal version, with two new references. Misprint in eq. (13) corrected

References in corpus (6)

• The third-order QCD corrections to deep-inelastic scattering by photon exchange
• Three-Loop Results for Quark and Gluon Form Factors
• The Quark Form Factor at Higher Orders
• Higher-Order Corrections in Threshold Resummation
• Two-loop corrections to Higgs boson production
• Mellin Moments of the Next-to-next-to Leading Order Coefficient Functions for the Drell-Yan Process and Hadronic Higgs-Boson Production

Cited by in corpus (218)

• HiggsBounds: Confronting Arbitrary Higgs Sectors with Exclusion Bounds from LEP and the Tevatron
• Higgs boson gluon-fusion production in N3LO QCD
• HiggsBounds 2.0.0: Confronting Neutral and Charged Higgs Sector Predictions with Exclusion Bounds from LEP and the Tevatron
• NLO Electroweak Corrections to Higgs Boson Production at Hadron Colliders
• SusHi: A program for the calculation of Higgs production in gluon fusion and bottom-quark annihilation in the Standard Model and the MSSM
• Parton distribution functions and benchmark cross sections at NNLO
• Theoretical status and prospects for top-quark pair production at hadron colliders
• Calculation of the quark and gluon form factors to three loops in QCD
• Handbook of LHC Higgs Cross Sections: 2. Differential Distributions
• Higgs production and decay: Analytic results at next-to-leading order QCD
• Mixed QCD-electroweak corrections to Higgs boson production in gluon fusion
• Inadequacy of zero-width approximation for a light Higgs boson signal
• Higgs production via gluon fusion in the POWHEG approach in the SM and in the MSSM
• Factorization at the LHC: From PDFs to Initial State Jets
• The ABM parton distributions tuned to LHC data
• NMSSM Higgs Benchmarks Near 125 GeV
• Higgs production through gluon fusion: updated cross sections at the Tevatron and the LHC
• Higgs boson gluon-fusion production at threshold in N3LO QCD
• Renormalization-Group Improved Prediction for Higgs Production at Hadron Colliders
• NNLO Computational Techniques: the Cases H -> gamma gamma and H -> g g
• Higgs Production with a Central Jet Veto at NNLL+NNLO
• Precise QCD predictions for the production of a Z boson in association with a hadronic jet
• Higgs production via gluon-gluon fusion with finite top mass beyond next-to-leading order
• Finite top quark mass effects in NNLO Higgs boson production at LHC
• Higher-Order threshold effects to inclusive processes in QCD
• SusHi Bento: Beyond NNLO and the heavy-top limit
• Soft triple-real radiation for Higgs production at N3LO
• Universality of transverse-momentum resummation and hard factors at the NNLO
• Radiative corrections to the neutral-current Drell-Yan process in the Standard Model and its minimal supersymmetric extension
• Higgs production in gluon fusion beyond NNLO
• The Drell-Yan cross section to third order in the strong coupling constant
• Threshold Resummation for Top-Pair Hadroproduction to Next-to-Next-to-Leading Log
• Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond
• Resummation of Threshold Logarithms in Effective Field Theory For DIS, Drell-Yan and Higgs Production
• On quartic colour factors in splitting functions and the gluon cusp anomalous dimension
• Higgs production at the lHC
• Soft gluon resummation for gluon-induced Higgs Strahlung
• Electroweak corrections to W + jet hadroproduction including leptonic W-boson decays
• Aspects of CP violation in the HZZ coupling at the LHC
• Threshold resummation at N${}^3$LL accuracy and soft-virtual cross sections at N${}^3$LO
• Threshold Resummation for Higgs Production in Effective Field Theory
• On Sudakov and Soft resummations in QCD
• Drell-Yan Production at Threshold to Third Order in QCD
• Electroweak corrections to dilepton + jet production at hadron colliders
• Higgs Boson Production and Decay at Hadron Colliders
• Scalar Particle Contribution to Higgs Production via Gluon Fusion at NLO
• LHC: Standard Higgs and Hidden Higgs
• NNLO QCD predictions for the H -> WW -> l l nu nu signal at the LHC
• Resummed Higgs cross section at N${}^3$LL
• Soft-virtual corrections to Higgs production at N${}^3$LO
• Production of scalar and pseudo-scalar Higgs bosons to next-to-next-to-leading order at hadron colliders
• Measurements of fiducial and differential cross sections for Higgs boson production in the diphoton decay channel at $\sqrt{s}=8$ TeV with ATLAS
• Total cross-section for Higgs boson hadroproduction with anomalous Standard Model interactions
• Approximate N^3LO Higgs-boson production cross section using physical-kernel constraints
• NLO Inspired Effective Lagrangians for Higgs Physics
• Predictions for Higgs production at the Tevatron and the associated uncertainties
• Higgs Boson Production via Gluon Fusion: Squark Loops at NLO QCD
• Higgs boson production at the LHC: transverse-momentum resummation and rapidity dependence
• N${}^3$LO Higgs and Drell-Yan production at threshold: the one-loop two-emission contribution
• Addendum to: Predictions for Higgs production at the Tevatron and the associated uncertainties
• The Custodial Randall-Sundrum Model: From Precision Tests to Higgs Physics
• Drell-Yan $q_T$ Resummation of Fiducial Power Corrections at N${}^3$LL
• Threshold Resummation for Slepton-Pair Production at Hadron Colliders
• Discovery Prospects for NMSSM Higgs Bosons at the High-Energy Large Hadron Collider
• NLO QCD bottom corrections to Higgs boson production in the MSSM
• On Higgs-exchange DIS, physical evolution kernels and fourth-order splitting functions at large x
• Leading-logarithmic threshold resummation of the Drell-Yan process at next-to-leading power
• Heavy-quark pair production at two loops in QCD
• Triplet Higgs boson collider phenomenology after the LHC
• On non-singlet physical evolution kernels and large-x coefficient functions in perturbative QCD
• QCD resummation for hadronic final states
• On the Higgs cross section at N${}^3$LO+N${}^3$LL and its uncertainty
• Higgs production at the LHC: updated cross sections at $\sqrt{s}=8$ TeV
• Rapidity Distributions in Drell-Yan and Higgs Productions at Threshold to Third Order in QCD
• Threshold factorization of the Drell-Yan process at next-to-leading power
• On the next-to-next-to-leading order QCD corrections to heavy-quark production in deep-inelastic scattering
• QCD threshold corrections to di-lepton and Higgs rapidity distributions beyond N${}^2$LO
• Parton distributions with threshold resummation
• Modeling BSM effects on the Higgs transverse-momentum spectrum in an EFT approach
• Soft gluon resummation of Drell-Yan rapidity distributions: theory and phenomenology
• Two-Loop Master Integrals for the mixed EW-QCD virtual corrections to Drell-Yan scattering
• NLO QCD corrections to pseudoscalar Higgs production in the MSSM
• Recursive Construction of Higgs-Plus-Multiparton Loop Amplitudes: The Last of the Phi-nite Loop Amplitudes
• Diagrammatic resummation of leading-logarithmic threshold effects at next-to-leading power
• Top Quark Pair Production beyond NNLO
• Inclusive Higgs boson cross-section for the LHC at 8 TeV
• Measuring Higgs CP and couplings with hadronic event shapes
• Measuring Hidden Higgs and Strongly-Interacting Higgs Scenarios
• Leading-logarithmic threshold resummation of Higgs production in gluon fusion at next-to-leading power
• High Energy Resummation of Drell-Yan Processes
• Soft corrections to inclusive deep-inelastic scattering at four loops and beyond
• A next-to-next-to-leading order calculation of soft-virtual cross sections
• On the NLO QCD corrections to Higgs production and decay in the MSSM
• Scale dependence and collinear subtraction terms for Higgs production in gluon fusion at N3LO
• Higgs Decay to Gluons at NNLO
• Master Integrals for Massless Three-Loop Form Factors: One-Loop and Two-Loop Insertions
• Interference effects for H --> WW/ZZ --> l anti-nu_l anti-l nu_l searches in gluon fusion at the LHC
• Threshold Resummation for W-Boson Production at RHIC
• The apparent excess in the Higgs to di-photon rate at the LHC: New Physics or QCD uncertainties?
• Updated Higgs cross section at approximate N${}^3$LO
• Effective Multi-Higgs Couplings to Gluons
• Approximate four-loop QCD corrections to the Higgs-boson production cross section
• Threshold resummation in SCET vs. perturbative QCD: an analytic comparison
• On the NLO QCD corrections to the production of the heaviest neutral Higgs scalar in the MSSM
• Double resummation for Higgs production
• Perturbative QCD effects and the search for a H->WW->l nu l nu signal at the Tevatron
• Threshold resummation for high-transverse-momentum Higgs production at the LHC
• Pseudo-scalar Form Factors at Three Loops in QCD
• Prospects for Higgs physics at energies up to 100 TeV
• NNLO Benchmarks for Gauge and Higgs Boson Production at TeV Hadron Colliders
• Higgs boson production through $b\bar{b}$ annihilation at threshold in N${}^3$LO QCD
• Threshold corrections to rapidity distributions of Z and W^\pm bosons beyond N^2 LO at hadron colliders
• Inadequacy of zero-width approximation for a light Higgs boson signal
• Vector-like Bottom Quarks in Composite Higgs Models
• How well can we guess theoretical uncertainties?
• Threshold resummation of the rapidity distribution for Drell-Yan production at NNLO+NNLL
• The Quark and Gluon Structure of the Proton
• Small-$x$ phenomenology at the LHC and beyond: HELL 3.0 and the case of the Higgs cross section
• Radiative corrections to W-boson hadroproduction: higher-order electroweak and supersymmetric effects
• Towards precise predictions for Higgs-boson production in the MSSM
• On next to soft corrections to Drell-Yan and Higgs Boson productions
• Leading large-x logarithms of the quark-gluon contributions to inclusive Higgs-boson and lepton-pair production
• MSSM Higgs Boson Production via Gluon Fusion: The Large Gluino Mass Limit
• Electroweak corrections to $Z$-boson hadroproduction at finite transverse momentum
• High-energy emissions of light mesons plus heavy flavor at the LHC and the Forward Physics Facility
• N${}^3$LO+N${}^3$LL QCD improved Higgs pair cross sections
• Parton Distributions: Summary Report
• 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
• Pseudo-scalar Higgs Boson Production at Threshold N${}^3$LO and N${}^3$LL QCD
• NNLO QCD$\oplus$QED corrections to Higgs production in bottom quark annihilation
• QCD threshold corrections for gluino pair production at hadron colliders
• Collinear and soft gluon corrections to Higgs production at NNNLO
• The next-to-leading order Higgs impact factor in the infinite top-mass limit
• Associated production of Higgs boson with vector boson at threshold N${}^3$LO in QCD
• Combining Monte Carlo generators with next-to-next-to-leading order calculations: event reweighting for Higgs boson production at the LHC
• Soft-gluon effective coupling and cusp anomalous dimension
• Higgs Rapidity Distribution in $b\bar{b}$ Annihilation at Threshold in N${}^3$LO QCD
• Threshold resummation of the rapidity distribution for Higgs production at NNLO+NNLL
• Higher-order threshold resummation for semi-inclusive e^+e^- annihilation
• Neutral Higgs production at proton colliders in the CP-conserving NMSSM
• Threshold Resummation in B --> X_c l nu_l Decays
• Supersymmetric Higgs production in gluon fusion
• On next to soft threshold corrections to DIS and SIA processes
• Effects of the anomalous Higgs couplings on the Higgs boson production at the Large Hadron Collider
• Next-to SV resummed Drell-Yan cross section beyond leading-logarithm
• Higgs Boson Cross Section from CTEQ-TEA Global Analysis
• The Higgs transverse momentum distribution in gluon fusion as a multiscale problem
• Matched predictions for Higgs production via heavy-quark loops in the SM and beyond
• Higgs Boson Production via Gluon Fusion in the Standard Model with four Generations
• Soft-gluon resummation for pseudoscalar Higgs boson production at hadron colliders
• Improved resummation prediction on Higgs boson production at hadron colliders
• Higgs Boson Production from Black Holes at the LHC
• The Higgs Boson in the Standard Model - From LEP to LHC: Expectations, Searches, and Discovery of a Candidate
• QCD threshold corrections to Higgs decay and to hadroproduction in $l^{+}{l}^{-}$ annihilation
• Resummed Mass Distribution for Jets Initiated by Massive Quarks
• A dispersive approach to Sudakov resummation
• The Higgs sector of supersymmetric theories and the implications for high-energy colliders
• Concepts of Electroweak Symmetry Breaking and Higgs Physics
• Quark and gluon spin-2 form factors to two-loops in QCD
• Resummed Higgs boson cross section at next-to SV to $\mathrm{NNLO}+\overline{\mathrm{NNLL}}$
• Third-order QCD results on form factors and coefficient functions
• Threshold factorization of the Drell-Yan quark-gluon channel and two-loop soft function at next-to-leading power
• Unconstraining the Unhiggs
• Resummed inclusive cross-section in Randall-Sundrum model at NNLO+NNLL
• Minimal prescription corrected spectra in heavy quark decays
• Going beyond Soft plus Virtual
• Next-to-Next-to-Leading Order QCD Corrections in Models of TeV-Scale Gravity
• Next to SV resummed prediction for pseudoscalar Higgs boson production at NNLO$+\overline{\text{NNLL}}$
• Threshold enhanced cross sections for colorless productions
• Resummation Effects in the Search of SM Higgs Boson at Hadron Colliders
• Resummed inclusive cross-section in ADD model at N${}^3$LL+NNLO
• Constant terms in threshold resummation and the quark form factor
• Vector boson production in joint resummation
• On the approaches to threshold resummation of rapidity distributions for the Drell-Yan process
• Soft anomalous dimensions and resummation in QCD
• Resummed next-to-soft corrections to rapidity distribution of Higgs Boson to $\text{NNLO}+\overline{\text{NNLL}}$
• Some recent theoretical progress in Higgs boson and top quark physics at hadron colliders
• Next-to-soft-virtual resummed rapidity distribution for Drell-Yan process to $\text{NNLO}+\overline{\text{NNLL}}$
• Higgs Physics: Theory
• Signal-background interference effects in Higgs-mediated diphoton production beyond NLO
• Searches for the Higgs boson decaying to W^{+} W^{-} -> l^{+}nu l^{-}nubar with the CDF II detector
• Simulation of a Cross Section and Mass Measurement of a SM Higgs Boson in the H->WW->lvlv Channel at the LHC
• Higgs boson rapidity distribution in bottom annihilation at NNLL and beyond
• Precision QCD phenomenology of exotic spin-2 search at the LHC
• Hard QCD at hadron colliders
• Standard Model Higgs Boson Searches through the 125 GeV Boson Discovery
• Semileptonic decays of the Higgs boson at the Tevatron
• An approximate NNNLO cross section for Higgs production in gluon fusion
• Comment on Resummation of Mass Distribution for Jets Initiated by Massive Quarks
• NNLO QCD corrections to the resonant sneutrino/slepton production at Hadron Colliders
• Theoretical Status of Higgs Production at Hadron Colliders in the SM
• Neutral Higgs production on LHC in the two-Higgs-doublet model with spontaneous $CP$ violation
• On the Scale Variation of the Total Cross Section for Higgs Production at the LHC and at the Tevatron
• Review of Physics Results from the Tevatron: Higgs Boson Physics
• Standard and SUSY Higgs production at the LHC
• Resummed transverse momentum distribution of pseudo-scalar Higgs boson at NNLO${}_A$+NNLL
• Infrared finite coupling in Sudakov resummation: the precise set-up
• Mixed scalar-pseudoscalar Higgs boson production through next-to-next-to-leading order at the LHC
• Searching for Higgs : From LEP towards LHC
• Soft gluon resummation for gluon fusion $ZH$ production
• N${}^3$LO soft-gluon corrections in single-particle-inclusive kinematics and $H^{+}{H}^{-}$ production
• High-energy resummation at the LHC: the case of Drell-Yan processes
• Next to Soft Threshold Resummation for $VH$ Production
• Global QCD Analysis of Pion Parton Distributions with Threshold Resummation
• Sudakov Resummations at Higher Orders
• The Standard Model from the LHC to future colliders: a contribution to the Workshop "What Next" of INFN
• Phenomenology of the Higgs at the hadron colliders: from the Standard Model to Supersymmetry
• Electroweak Symmetry Breaking at the LHC
• Threshold resummation in SCET vs. direct QCD: a systematic comparison
• QCD Corrections to Dilepton Production near Partonic Threshold in proton-antiproton Scattering
• Higher-order soft and virtual corrections in $pp\to \gamma W$ production at the LHC
• Factorization at the LHC: From PDFs to Initial State Jets (Ph.D. thesis)
• Refining threshold resummations
• Higgs boson production in the SM and MSSM to NNLO and beyond
• Threshold Effects in Slepton-Pair Production at the LHC
• One-loop Single Real Emission Contributions to Inclusive Higgs Production at NNNLO
• Two-loop mixed QCD-EW corrections to neutral current Drell-Yan