Next-to SV resummed Drell-Yan cross section beyond leading-logarithm

Abstract

We present the resummed predictions for inclusive cross section for Drell-Yan (DY) production up to next-to-next-to leading logarithmic ($\overline{\mathrm{NNLL}}$) accuracy taking into account both soft virtual (SV) and next-to SV (NSV) threshold logarithms. We restrict ourselves to resummed contributions only from quark anti-quark ($q\bar{q}$) initiated channels. The resummation is performed in Mellin-$N$ space. We derive the $N$-dependent coefficients and the $N$-independent constants to desired accuracy for our study. The resummed results are matched through the minimal prescription procedure with the fixed order results. We find that the resummation, taking into account the NSV terms, appreciably increases the cross section while decreasing the sensitivity to renormalisation scale. \textcolor{black}{We observe that, at 13 TeV LHC energies, the SV+NSV resummation at $\overline{\mathrm{NLL}}(\overline{\mathrm{NNLL}})$ gives about 8\% (2\%) corrections respectively to the NLO (NNLO) results for the considered $Q$ range: 150-3500 GeV}. In addition, the absence of quark gluon initiated contributions to NSV part in the resummed terms leaves large factorisation scale dependence indicating their importance at NSV level. We also study the numerical impact of $N$-independent constants and explore the ambiguity involved in exponetiating them. Finally we present our predictions for the neutral Drell-Yan process at various center of mass of energies.

arXiv comment60 pages, 13 Tables and 15 Figures

References in corpus (79)

• LHAPDF6: parton density access in the LHC precision era
• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• Parton distributions in the LHC era: MMHT 2014 PDFs
• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• 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 Three-Loop Splitting Functions in QCD: The Singlet Case
• The Singular Behaviour of QCD Amplitudes at Two-loop Order
• Higgs boson gluon-fusion production in N3LO QCD
• Hard Scattering Factorization from Effective Field Theory
• NNLO corrections to the total cross section for Higgs boson production in hadron-hadron collisions
• Soft-gluon resummation for Higgs boson production at hadron colliders
• On the Structure of Infrared Singularities of Gauge-Theory Amplitudes
• Infrared singularities of scattering amplitudes in perturbative QCD
• The Resummation of Soft Gluon in Hadronic Collisions
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• Calculation of the quark and gluon form factors to three loops in QCD
• Higher-Order Soft Corrections to Lepton Pair and Higgs Boson Production
• Higgs production in hadron collisions: soft and virtual QCD corrections at NNLO
• Efficient evolution of unpolarized and polarized parton distributions with QCD-PEGASUS
• Higgs boson gluon-fusion production at threshold in N3LO QCD
• Higgs Boson Production at Hadron Colliders at N3LO in QCD
• Higher-Order threshold effects to inclusive processes in QCD
• Soft and virtual corrections to pp -> H + X at NNLO
• The Drell-Yan cross section to third order in the strong coupling constant
• Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach
• Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond
• Higher-Order Corrections in Threshold Resummation
• 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
• 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
• 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
• Resummed Higgs cross section at N${}^3$LL
• Soft-virtual corrections to Higgs production at N${}^3$LO
• Next-to-Leading Order QCD Corrections to the Drell-Yan Cross Section in Models of TeV-Scale Gravity
• Soft Expansion of Double-Real-Virtual Corrections to Higgs Production at N${}^3$LO
• Approximate N^3LO Higgs-boson production cross section using physical-kernel constraints
• N${}^3$LO Higgs and Drell-Yan production at threshold: the one-loop two-emission contribution
• 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
• On non-singlet physical evolution kernels and large-x coefficient functions in perturbative QCD
• Universality of next-to-leading power threshold effects for colourless final states in hadronic collisions
• On the Higgs cross section at N${}^3$LO+N${}^3$LL and its uncertainty
• Exponentiation of the Drell-Yan cross section near partonic threshold in the DIS and MSbar schemes
• Threshold factorization of the Drell-Yan process at next-to-leading power
• Matched predictions for the $b\bar{b}H$ cross section at the 13 TeV LHC
• Leading-logarithmic threshold resummation of Higgs production in gluon fusion at next-to-leading power
• The Three-Loop Splitting Functions $P_{qg}^{(2)}$ and $P_{gg}^{(2,N_F)}$
• Soft corrections to inclusive deep-inelastic scattering at four loops and beyond
• Updated Higgs cross section at approximate N${}^3$LO
• Approximate four-loop QCD corrections to the Higgs-boson production cross section
• Higgs boson production through $b\bar{b}$ annihilation at threshold in N${}^3$LO QCD
• Threshold resummation of the rapidity distribution for Drell-Yan production at NNLO+NNLL
• On threshold resummation beyond leading 1-x order
• The evolution of parton distributions beyond leading order: the singlet case
• Resummed prediction for Higgs boson production through $b\bar{b}$ annihilation at N${}^3$LL
• Pseudo-scalar Higgs boson production at N${}^3$LO${}_{\text{A}}$+N${}^3$LL${}^{\prime }$
• An Enhanced Threshold Resummation Formalism for Lepton Pair Production and Its Effects in the Determination of Parton Distribution Functions
• On next to soft corrections to Drell-Yan and Higgs Boson productions
• 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
• NNLO QCD$\oplus$QED corrections to Higgs production in bottom quark annihilation
• Next-to-soft corrections for Drell-Yan and Higgs boson rapidity distributions beyond N${}^3$LO
• The threshold region for Higgs production in gluon fusion
• Associated production of Higgs boson with vector boson at threshold N${}^3$LO in QCD
• Threshold resummation of the rapidity distribution for Higgs production at NNLO+NNLL
• Next-to-leading power threshold corrections for finite order and resummed colour-singlet cross sections
• On next to soft threshold corrections to DIS and SIA processes
• NNLO QCD Corrections to the Drell-Yan Cross Section in Models of TeV-Scale Gravity
• On next-to-eikonal exponentiation
• Resummation of soft and hard gluon radiation in perturbative QCD
• NNLO QCD corrections to the resonant sneutrino/slepton production at Hadron Colliders

Cited by in corpus (10)

• High-energy emissions of light mesons plus heavy flavor at the LHC and the Forward Physics Facility
• Threshold resummation of new partonic channels at next-to-leading power
• Threshold enhanced cross sections for colorless productions
• 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 $\text{NNLO}+\overline{\text{NNLL}}$
• Soft gluon resummation for gluon fusion $ZH$ production
• Next to Soft Threshold Resummation for $VH$ Production
• Threshold resummation for $Z$-boson pair production at NNLO+NNLL
• Threshold resummation for $W$-boson pair production at NNLO+NNLL