Next-to-soft corrections for Drell-Yan and Higgs boson rapidity distributions beyond N${}^3$LO

Abstract

We present a formalism that sums up both soft-virtual (SV) and next to SV (NSV) contributions to all orders in perturbative QCD for the rapidity distribution of any colorless particle produced in hadron colliders. We have exploited the factorization properties and the renormalisation group (RG) invariance of the differential cross-section to achieve this. Using the state-of-the-art multiloop and multileg results, we determine the complete NSV contributions to third order in strong coupling constant for the rapidity distributions for a pair of leptons in Drell-Yan and also for Higgs boson in gluon fusion as well as bottom quark annihilation. Using the integral representation of our all order $z$ space result, we show how the NSV contributions can be resummed in two-dimensional Mellin space.

arXiv comment6 Pages and 1 Table

References in corpus (47)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• A Large Mass Hierarchy from a Small Extra Dimension
• The Hierarchy Problem and New Dimensions at a Millimeter
• Parton distributions for the LHC Run II
• PDF4LHC recommendations for LHC Run II
• Parton distributions in the LHC era: MMHT 2014 PDFs
• Higgs boson gluon-fusion production in N3LO QCD
• The CT10 NNLO Global Analysis of QCD
• Parton Distribution Functions, ${\alpha }_s$ and Heavy-Quark Masses for LHC Run II
• Dynamical Threshold Enhancement and Resummation in Drell-Yan Production
• Threshold Resummation in Momentum Space from Effective Field Theory
• The Drell-Yan cross section to third order in the strong coupling constant
• Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach
• Soft-Gluon Resummation for the Fragmentation of Light and Heavy Quarks at Large x
• The method of regions and next-to-soft corrections in Drell-Yan production
• 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
• On next-to-eikonal corrections to threshold resummation for the Drell-Yan and DIS cross sections
• Non-abelian factorisation for next-to-leading-power threshold logarithms
• Approximate N^3LO Higgs-boson production cross section using physical-kernel constraints
• Measurements of differential and double-differential Drell-Yan cross sections in proton-proton collisions at 8 TeV
• N${}^3$LO Higgs and Drell-Yan production at threshold: the one-loop two-emission contribution
• Precision Predictions at N${}^3$LO for the Higgs Boson Rapidity Distribution at the LHC
• 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
• Higgs production in bottom-quark fusion to third order in the strong coupling
• Measurement of the lepton charge asymmetry in W-boson decays produced in p-pbar collisions
• Universality of next-to-leading power threshold effects for colourless final states in hadronic collisions
• On non-singlet physical evolution kernels and large-x coefficient functions in perturbative QCD
• 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
• QCD threshold corrections to di-lepton and Higgs rapidity distributions beyond N${}^2$LO
• Diagrammatic resummation of leading-logarithmic threshold effects at next-to-leading power
• Threshold Resummation and Rapidity Dependence
• Leading-logarithmic threshold resummation of Higgs production in gluon fusion at next-to-leading power
• Threshold Resummation for W-Boson Production at RHIC
• Resummation prescriptions and ambiguities in SCET vs. direct QCD: Higgs production as a case study
• Threshold resummation of Drell-Yan rapidity distributions
• Threshold corrections to rapidity distributions of Z and W^\pm bosons beyond N^2 LO at hadron colliders
• Threshold resummation of the rapidity distribution for Drell-Yan production at NNLO+NNLL
• Resummation Improved Rapidity Spectrum for Gluon Fusion Higgs Production
• 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
• On next to soft threshold corrections to DIS and SIA processes
• Measurement of Rapidity Distribution for High Mass Drell-Yan ee Pairs at CDF
• NNLO QCD corrections to production of a spin-2 particle with non-universal couplings in the DY process

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• Resummed next-to-soft corrections to rapidity distribution of Higgs Boson to $\text{NNLO}+\overline{\text{NNLL}}$
• On the approaches to threshold resummation of rapidity distributions for the Drell-Yan process
• Next-to-soft-virtual resummed rapidity distribution for Drell-Yan process to $\text{NNLO}+\overline{\text{NNLL}}$
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