Bootstrapping rapidity anomalous dimension for transverse-momentum resummation

Abstract

Soft function relevant for transverse-momentum resummation for Drell-Yan or Higgs production at hadron colliders are computed through to three loops in the expansion of strong coupling, with the help of bootstrap technique and supersymmetric decomposition. The corresponding rapidity anomalous dimension is extracted. An intriguing relation between anomalous dimensions for transverse-momentum resummation and threshold resummation is found.

v2: Appendices added; fix a misprint in Eq. (11); results and conclusion unchanged; v3: version accepted by PRL; v4: typos fixed

References in corpus (6)

• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• Algorithm FIRE -- Feynman Integral REduction
• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• Quark and gluon form factors to three loops
• N${}^3$LO Higgs and Drell-Yan production at threshold: the one-loop two-emission contribution
• On the calculation of soft phase space integral

Cited by in corpus (145)

• Large-Momentum Effective Theory
• Unpolarized Transverse Momentum Dependent Parton Distribution and Fragmentation Functions at next-to-next-to-leading order
• Parton Fragmentation Functions
• Parton distributions and lattice QCD calculations: toward 3D structure
• Analysis of vector boson production within TMD factorization
• Non-perturbative structure of semi-inclusive deep-inelastic and Drell-Yan scattering at small transverse momentum
• Fiducial distributions in Higgs and Drell-Yan production at N${}^3$LL+NNLO
• Momentum-space resummation for transverse observables and the Higgs $p_{\perp }$ at N${}^3$LL+NNLO
• Higgs boson production at the LHC using the $q_T$ subtraction formalism at N${}^3$LO QCD
• Extraction of unpolarized quark transverse momentum dependent parton distributions from Drell-Yan/Z-boson production
• Quark Transverse Parton Distribution at the Next-to-Next-to-Next-to-Leading Order
• Determining the Nonperturbative Collins-Soper Kernel From Lattice QCD
• Collins-Soper Kernel for TMD Evolution from Lattice QCD
• Subleading Power Rapidity Divergences and Power Corrections for $q_T$
• Snowmass 2021 whitepaper: Proton structure at the precision frontier
• Drell-Yan lepton-pair production: $q_T$ resummation at N${}^3$LL accuracy and fiducial cross sections at N${}^3$LO
• Lattice-QCD Calculations of TMD Soft Function Through Large-Momentum Effective Theory
• Towards Quasi-Transverse Momentum Dependent PDFs Computable on the Lattice
• Constraining Light-Quark Yukawa Couplings from Higgs Distributions
• Transverse momentum dependent PDFs at N${}^3$LO
• Drell-Yan $q_T$ Resummation of Fiducial Power Corrections at N${}^3$LL
• Precise QCD Description of the Higgs Boson Transverse Momentum Spectrum
• Transverse Parton Distribution and Fragmentation Functions at NNLO: the Quark Case
• The transverse momentum spectrum of weak gauge bosons at N${}^3$LL+NNLO
• Higgs $p_T$ Spectrum and Total Cross Section with Fiducial Cuts at Third Resummed and Fixed Order in QCD
• Nonperturbative Determination of Collins-Soper Kernel from Quasi Transverse-Momentum Dependent Wave Functions
• Transverse momentum dependent distributions with jets
• TMD Soft Function from Large-Momentum Effective Theory
• Lattice QCD calculation of the Collins-Soper kernel from quasi TMDPDFs
• Di-lepton Rapidity Distribution in Drell-Yan Production to Third Order in QCD
• The x-dependence of hadronic parton distributions: A review on the progress of lattice QCD
• The Transverse Energy-Energy Correlator in the Back-to-Back Limit
• Transverse momentum dependent distributions in $e^{+}{e}^{-}$ and semi-inclusive deep-inelastic scattering using jets
• Energy-energy correlations at next-to-next-to-leading order
• Third order fiducial predictions for Drell-Yan at the LHC
• Light quark Yukawa couplings from Higgs kinematics
• Lattice QCD Study of Transverse-Momentum Dependent Soft Function
• The Four Loop QCD Rapidity Anomalous Dimension
• Systematic analysis of double-scale evolution
• Self-contained definition of the Collins-Soper kernel
• The gluon-fusion production of Higgs boson pair: N${}^3$LO QCD corrections and top-quark mass effects
• Modeling BSM effects on the Higgs transverse-momentum spectrum in an EFT approach
• Linearly polarized gluons at next-to-next-to leading order and the Higgs transverse momentum distribution
• Rationalizing Loop Integration
• Extraction of the Sivers function from SIDIS, Drell-Yan, and $W^{\pm }/Z$ boson production data with TMD evolution
• Connecting Different TMD Factorization Formalisms in QCD
• Differential Higgs production at N3LO beyond threshold
• Transverse Parton Distribution and Fragmentation Functions at NNLO: the Gluon Case
• Sequential Discontinuities of Feynman Integrals and the Monodromy Group
• Probing Transverse-Momentum Distributions With Groomed Jets
• Analytic Continuation and Reciprocity Relation for Collinear Splitting in QCD
• A Toolbox for $q_T$ and $0$-Jettiness Subtractions at N${}^3$LO
• Fiducial Higgs and Drell-Yan distributions at N${}^3$LL${}^{\prime }$+NNLO with RadISH
• Bootstrapping a Stress-Tensor Form Factor through Eight Loops
• Non-perturbative contributions to vector-boson transverse momentum spectra in hadronic collisions
• The Energy-Energy Correlation in the back-to-back limit at N${}^3$LO and N${}^3$LL${}^{\prime }$
• Transverse momentum dependent operator expansion at next-to-leading power
• Factorization connecting continuum and lattice TMDs
• Lattice Calculation of the Intrinsic Soft Function and the Collins-Soper Kernel
• Two-loop anomalous dimensions of generic dijet soft functions
• Energy-energy correlators in Deep Inelastic Scattering
• Factorization and Resummation for Massive Quark Effects in Exclusive Drell-Yan
• The $q_T$ and $\Delta \varphi$ spectra in W and Z production at the LHC at N${}^3$LL'+N${}^2$LO
• Pion-induced Drell-Yan processes within TMD factorization
• Recoil-free azimuthal angle for precision boson-jet correlation
• TMD Fragmentation Functions at N${}^3$LO
• $\text{Tr}(F^3)$ supersymmetric form factors and maximal transcendentality Part I: $\mathcal{N}=4$ super Yang-Mills
• Two-Loop SL(2) Form Factors and Maximal Transcendentality
• Factorization for Azimuthal Asymmetries in SIDIS at Next-to-Leading Power
• Generic dijet soft functions at two-loop order: correlated emissions
• Renormalization and Matching for the Collins-Soper Kernel from Lattice QCD
• Power corrections and renormalons in Transverse Momentum Distributions
• Probing Transverse-Momentum Dependent Evolution With Groomed Jets
• Challenges with Large Transverse Momentum in Semi-Inclusive Deeply Inelastic Scattering
• Two-Loop Radiative Jet Function for Exclusive $B$-Meson and Higgs Decays
• $t\bar{t}H$ production at NNLO: the flavour off-diagonal channels
• Matching NNLO to parton shower using N${}^3$LL colour-singlet transverse momentum resummation in GENEVA
• N${}^3$LO+N${}^3$LL QCD improved Higgs pair cross sections
• TMD factorization for dijet and heavy-meson pair in DIS
• The Principle of Maximal Transcendentality and the Four-Loop Collinear Anomalous Dimension
• Matching of transverse momentum dependent distributions at twist-3
• Analytic Two-Loop Higgs Amplitudes in Effective Field Theory and the Maximal Transcendentality Principle
• Event-Based Transverse Momentum Resummation
• Fiducial perturbative power corrections within the q${}_{\mathbf{T}}$ subtraction formalism
• Bottom-quark effects in Higgs production at intermediate transverse momentum
• Unpolarized Quark and Gluon TMD PDFs and FFs at N${}^3$LO
• Manifestly Dual-Conformal Loop Integration
• Transverse momentum dependent transversely polarized distributions at next-to-next-to-leading-order
• Amplitudes from superconformal Ward identities
• Symbology for elliptic multiple polylogarithms and the symbol prime
• Structure of the nucleon at leading and subleading twist in the covariant parton model
• Measurements of the Higgs boson inclusive and differential fiducial cross-sections in the diphoton decay channel with $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• $\text{Tr}(F^3)$ supersymmetric form factors and maximal transcendentality Part II: $0<\mathcal{N}<4$ super Yang-Mills
• Quark beam function at next-to-next-to-next-to-leading order in perturbative QCD in the generalized large-$N_c$ approximation
• Disentangling Long and Short Distances in Momentum-Space TMDs
• Relating amplitude and PDF factorisation through Wilson-line geometries
• Precision boson-jet azimuthal decorrelation at hadron colliders
• Soft factors for double parton scattering at NNLO
• The $N_f{C}_F^3$ contribution to the non-singlet splitting function at four-loop order
• Probing Transverse Momentum Dependent Structures with Azimuthal Dependence of Energy Correlators
• Bootstrapping elliptic Feynman integrals using Schubert analysis
• What can we learn about QCD and collider physics from N=4 super Yang-Mills?
• Soft-parton contributions to heavy-quark production at low transverse momentum
• Projected transverse momentum resummation in top-antitop pair production at LHC
• Collinear expansion for color singlet cross sections
• Nonperturbative Collins-Soper Kernel from Chiral Quarks with Physical Masses
• Intersection theory rules symbology
• Drell-Yan Transverse-Momentum Spectra at N${}^3$LL${}^{\prime }$ and Approximate N${}^4$LL with SCETlib
• Hidden Analytic Relations for Two-Loop Higgs Amplitudes in QCD
• On phase-space integrals with Heaviside functions
• Two-Loop QCD Corrections to the Higgs plus three-parton amplitudes with Top Mass Correction
• Structure of rapidity divergences in soft factors
• A fast and accurate method for perturbative resummation of transverse momentum-dependent observables
• Quarkonium TMD fragmentation functions in NRQCD
• Transverse momentum moments
• Twist-4 T-even proton TMDs in the light-front quark-diquark model
• Combining nonperturbative transverse momentum dependence with TMD evolution
• Soft Theorem to Three Loops in QCD and $\mathcal{N}=4$ Super Yang-Mills Theory
• GTMDs and the factorization of exclusive double Drell-Yan
• Study of worm-gear-T function $g_{1T}$ with semi-inclusive DIS data
• Computational challenges for multi-loop collider phenomenology
• Jet-veto resummation at N${}^3$LL${}_{\text{p}}$+NNLO in boson production processes
• A Collinear Perspective on the Regge Limit
• QCD$\times$QED evolution of TMDs
• Vector boson production in joint resummation
• Fracture Functions in Different Kinematic Regions and Their Factorizations
• A numerical formulation of resummation in effective field theory
• One-loop corrections to the double-real emission contribution to the zero-jettiness soft function at N3LO in QCD
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Deciphering the Maximal Transcendentality Principle via Bootstrap
• Light-Cone Singularities and Transverse-Momentum-Dependent Factorization at Twist-3
• N${}^3$LL + $\mathcal{O}({\alpha }_s^2)$ predictions of lepton-jet azimuthal angular distribution in deep-inelastic scattering
• W-boson production in TMD factorization
• The $q_{\mathrm{T}}$ and $\Delta {\varphi }_{t\bar{t}}$ spectra in top-antitop hadroproduction at NNLL+NNLO: the interplay of soft-collinear resummation and Coulomb singularities
• One-loop transverse-momentum-dependent soft function at higher orders in the dimensional regulator
• Collins-Soper Kernel in the QCD Instanton Vacuum
• Collins-Soper kernel from lattice QCD at the physical pion mass
• Universality of the Collins-Soper kernel in lattice calculations
• Dihadron Angular Correlations in the $e^{+}{e}^{-}$ Collision
• QCD Beyond Leading Power
• Fully differential Higgs boson pair production at N${}^3$LO with top quark mass effects
• On interpolating anomalous dimension of twist-two operators with general spins
• Studying transverse momentum distributions with jets at N${}^3$LL
• The analytic two-loop soft function for leading-jet $p_T$
• Hidden Analytic Structure of Higgs Amplitudes and Maximal Transcendentality Principle