Leading-logarithmic threshold resummation of the Drell-Yan process at next-to-leading power

Abstract

We resum the leading logarithms ${\alpha }_s^n{\ln }^{2n-1}(1-z)$, $n=1,2,\dots$ near the kinematic threshold $z=Q^2/\hat{s}\to 1$ of the Drell-Yan process at next-to-leading power in the expansion in $(1-z)$. The derivation of this result employs soft-collinear effective theory in position space and the anomalous dimensions of subleading-power soft functions, which are computed. Expansion of the resummed result leads to the leading logarithms at fixed loop order, in agreement with exact results at NLO and NNLO and predictions from the physical evolution kernel at N${}^3$LO and N${}^4$LO, and to new results at the five-loop order and beyond.

40 pages, 3 figures, v2: matching the published version in JHEP

References in corpus (24)

• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• Soft-collinear effective theory and heavy-to-light currents beyond leading power
• Soft Gluon Radiation in Higgs Boson Production at the LHC
• Higher-Order Soft Corrections to Lepton Pair and Higgs Boson Production
• Multipole-expanded soft-collinear effective theory with non-abelian gauge symmetry
• Dynamical Threshold Enhancement and Resummation in Drell-Yan Production
• The method of regions and next-to-soft corrections in Drell-Yan production
• The gluon jet function at two-loop order
• Non-abelian factorisation for next-to-leading-power threshold logarithms
• Anomalous dimension of subleading-power N-jet operators
• Subleading Shape Functions in Inclusive B Decays
• Approximate N^3LO Higgs-boson production cross section using physical-kernel constraints
• Factorization for Power Corrections to B->Xs gamma and B-> Xu e nu
• First Subleading Power Resummation for Event Shapes
• Universality of next-to-leading power threshold effects for colourless final states in hadronic collisions
• Anomalous dimension of subleading-power $N$-jet operators II
• High-Energy Limit of QCD beyond Sudakov Approximation
• Power corrections to B\to X_u l ν(X_sγ) decay spectra in the "shape-function" region
• High-Energy Limit of Mass-Suppressed Amplitudes in Gauge Theories
• On next-to-leading power threshold corrections in Drell-Yan production at N${}^3$LO
• Collinear and soft gluon corrections to Higgs production at NNNLO
• An Exclusive Soft Function for Drell-Yan at Next-to-Next-to-Leading Order
• Threshold Factorization Redux

Cited by in corpus (59)

• 50 Years of Quantum Chromodynamics
• Subleading Power Rapidity Divergences and Power Corrections for $q_T$
• Energy-energy correlations at next-to-next-to-leading order
• Threshold factorization of the Drell-Yan process at next-to-leading power
• Subleading Power Resummation of Rapidity Logarithms: The Energy-Energy Correlator in $\mathcal{N}=4$ SYM
• Diagrammatic resummation of leading-logarithmic threshold effects at next-to-leading power
• Next-to-leading power endpoint factorization and resummation for off-diagonal "gluon" thrust
• Leading-logarithmic threshold resummation of Higgs production in gluon fusion at next-to-leading power
• Factorization at Subleading Power, Sudakov Resummation and Endpoint Divergences in Soft-Collinear Effective Theory
• Subleading Power Factorization with Radiative Functions
• Spinning Gluons from the QCD Light-Ray OPE
• The Soft Quark Sudakov
• Violation of the Kluberg-Stern--Zuber theorem in SCET
• Next-to-leading power corrections to $V+1$ jet production in $N$-jettiness subtraction
• Factorization for Azimuthal Asymmetries in SIDIS at Next-to-Leading Power
• Impact of Isolation and Fiducial Cuts on $q_T$ and N-Jettiness Subtractions
• Large-x resummation of off-diagonal deep-inelastic parton scattering from d-dimensional refactorization
• Factorization at Subleading Power and Endpoint Divergences in $h\to \gamma \gamma$ Decay: II. Renormalization and Scale Evolution
• On next to soft corrections to Drell-Yan and Higgs Boson productions
• Next-to-leading power threshold effects for inclusive and exclusive processes with final state jets
• Two-Loop Radiative Jet Function for Exclusive $B$-Meson and Higgs Decays
• Towards all-order factorization of QED amplitudes at next-to-leading power
• Asymptotic dynamics on the worldline for spinning particles
• Higher-order power corrections in a transverse-momentum cut for colour-singlet production at NLO
• Next-to-soft corrections for Drell-Yan and Higgs boson rapidity distributions beyond N${}^3$LO
• Light Quark Mediated Higgs Boson Threshold Production in the Next-to-Leading Logarithmic Approximation
• Next-to-leading power threshold effects for resummed prompt photon production
• 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
• Helicity Methods for High Multiplicity Subleading Soft and Collinear Limits
• Next-to SV resummed Drell-Yan cross section beyond leading-logarithm
• Muon-electron backward scattering: a prime example for endpoint singularities in SCET
• Collinear expansion for color singlet cross sections
• Threshold resummation of new partonic channels at next-to-leading power
• Factorization of Power Corrections in the Drell-Yan Process in EFT
• Higgs Boson Production and Quark Scattering Amplitudes at High Energy through the Next-to-Next-to-Leading Power in Quark Mass
• Rapidity distribution at soft-virtual and beyond for n-colorless particles to N${}^4$LO in QCD
• Resummed Higgs boson cross section at next-to SV to $\mathrm{NNLO}+\overline{\mathrm{NNLL}}$
• Threshold factorization of the Drell-Yan quark-gluon channel and two-loop soft function at next-to-leading power
• Power corrections in a transverse-momentum cut for vector-boson production at NNLO: the $qg$-initiated real-virtual contribution
• Going beyond Soft plus Virtual
• Momentum-space threshold resummation in $tW$ production at the LHC
• Next to SV resummed prediction for pseudoscalar Higgs boson production at NNLO$+\overline{\text{NNLL}}$
• Higgsino and gaugino pair production at the LHC with aNNLO+NNLL precision
• 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
• Renormalization of the next-to-leading-power $\gamma \gamma \to h$ and $gg\to h$ soft quark functions
• Next-to-soft-virtual resummed rapidity distribution for Drell-Yan process to $\text{NNLO}+\overline{\text{NNLL}}$
• The SAGEX Review on Scattering Amplitudes, Chapter 12: Amplitudes and collider physics
• Region analysis of $H\to \gamma \gamma$ via a bottom quark loop
• On the gauge-invariance of SCET beyond leading power
• Factorization at subleading power in deep inelastic scattering in the $x\to 1$ limit
• Soft gluon resummation for gluon fusion $ZH$ production
• Global QCD Analysis of Pion Parton Distributions with Threshold Resummation
• Next to Soft Threshold Resummation for $VH$ Production
• $B_c\to {\eta }_c$ form factors at large recoil: Interplay of soft-quark and soft-gluon dynamics
• Next-to-leading power two-loop soft functions for the Drell-Yan process at threshold
• Double soft graviton factors from the gravitational Wilson line
• Soft background fields at next-to-leading power in transverse momentum dependent SIDIS with jets