Next-to-soft-virtual resummed rapidity distribution for Drell-Yan process to $\text{NNLO}+\overline{\text{NNLL}}$

Abstract

We present the differential predictions for the rapidity distribution of a pair of leptons through the Drell-Yan (DY) process at the LHC taking into account the soft-virtual (SV) as well as next-to-soft virtual (NSV) resummation effects in QCD perturbation theory to next-to-next-to-leading-order plus next-to-next-to-leading-logarithmic ($\mathrm{NNLO}+\overline{\mathrm{NNLL}}$) accuracy. We perform the resummation in two dimensional Mellin space using our recent formalism \cite{Ajjath:2020lwb} by limiting ourselves to contributions only from quark anti-quark ($q\bar{q}$) initiated channels. The resummed corrections to the fixed order results are computed through a matched formula using the minimal prescription procedure. We find that the resummation at next-to-leading-logarithmic (next-to-next-to-leading-logarithmic) level brings about 3.98\% (1.24\%) corrections respectively to the NLO (NNLO) results at the central scale value of $q=M_Z$ for 13 TeV LHC. We also observe that the sensitivity to the renormalisation scale gets improved substantially by the inclusion of NSV resummed predictions at $\overline{\mathrm{NNLL}}$ accuracy. Further, the lack of quark gluon ($qg$) initiated contributions to NSV part in the $\overline{\mathrm{NNLL}}$ resummed predictions leaves large factorisation scale dependence indicating their importance at NSV level as we go to higher orders in perturbation theory.

arXiv comment21 pages, 9 figures, 7 tables. We have corrected some typos in equations 10,11, B3 and B6 and also added Eq 12 in this version

References in corpus (67)

• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• Matching NLO QCD computations with Parton Shower simulations: the POWHEG method
• Matching NLO QCD computations and parton shower simulations
• LHAPDF6: parton density access in the LHC precision era
• 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
• High-precision QCD at hadron colliders: electroweak gauge boson rapidity distributions at NNLO
• The Three-Loop Splitting Functions in QCD: The Singlet Case
• Vector boson production at hadron colliders: a fully exclusive QCD calculation at NNLO
• Higgs boson gluon-fusion production in N3LO QCD
• Electroweak gauge boson production at hadron colliders through O(alpha_s^2)
• Soft-gluon resummation for Higgs boson production at hadron colliders
• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• The Resummation of Soft Gluon in Hadronic Collisions
• Combining QCD and electroweak corrections to dilepton production in FEWZ
• Dilepton rapidity distribution in the Drell-Yan process at NNLO in QCD
• Higher-Order Soft Corrections to Lepton Pair and Higgs Boson Production
• Universality of non-leading logarithmic contributions in transverse-momentum distributions
• Electroweak Radiative Corrections to Neutral-Current Drell-Yan Processes at Hadron Colliders
• Dynamical Threshold Enhancement and Resummation in Drell-Yan Production
• Electroweak radiative corrections to W-boson production at hadron colliders
• Efficient evolution of unpolarized and polarized parton distributions with QCD-PEGASUS
• Threshold Resummation in Momentum Space from Effective Field Theory
• Analysis of vector boson production within TMD factorization
• The Drell-Yan cross section to third order in the strong coupling constant
• Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach
• Threshold resummation for electroweak annihilation from DIS data
• A Critical Appraisal and Evaluation of Modern PDFs
• The method of regions and next-to-soft corrections in Drell-Yan production
• On Sudakov and Soft resummations in QCD
• Threshold Resummation for Higgs Production in Effective Field Theory
• 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
• The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements
• 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
• Luminosity monitors at the LHC
• 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
• 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
• Di-lepton Rapidity Distribution in Drell-Yan Production to Third Order in QCD
• Threshold factorization of the Drell-Yan process at next-to-leading power
• Rapidity Distributions in Drell-Yan and Higgs Productions at Threshold to Third Order in QCD
• Systematic analysis of double-scale evolution
• QCD threshold corrections to di-lepton and Higgs rapidity distributions beyond N${}^2$LO
• Soft gluon resummation of Drell-Yan rapidity distributions: theory and phenomenology
• Diagrammatic resummation of leading-logarithmic threshold effects at next-to-leading power
• Leading-logarithmic threshold resummation of Higgs production in gluon fusion at next-to-leading power
• Threshold Resummation for Drell-Yan Process in Soft-Collinear Effective Theory
• Threshold Resummation for W-Boson Production at RHIC
• 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
• 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
• Next-to-soft corrections for Drell-Yan and Higgs boson rapidity distributions beyond N${}^3$LO
• 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
• Next-to SV resummed Drell-Yan cross section beyond leading-logarithm
• Rapidity distribution at soft-virtual and beyond for n-colorless particles to N${}^4$LO in QCD
• NNLO QCD corrections to production of a spin-2 particle with non-universal couplings in the DY process

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