Lattice QCD Study of Transverse-Momentum Dependent Soft Function

Abstract

In this work, we perform a lattice QCD study of the intrinsic, rapidity-independent soft function within the framework of large momentum effective theory. The computation is carried out using a gauge ensemble of $N_f=2+1+1$ clover-improved twisted mass fermion. After applying an appropriate renormalization procedure and the removal of significant higher-twist contamination, we obtain the intrinsic soft function that is comparable to the one-loop perturbative result at large external momentum. The determination of the nonperturbative soft function from first principles is crucial to sharpen our understanding of the processes with small transverse momentum such as the Drell-Yan production and the semi-inclusive deep inelastic scattering. Additionally, we calculate the Collins-Soper evolution kernel using the quasi-transverse-momentum-dependent wave function as input.

arXiv comment7 pages, 4 figures

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• Nonperturbative Determination of Collins-Soper Kernel from Quasi Transverse-Momentum Dependent Wave Functions
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• The Present and Future of QCD
• Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Unpolarized Quarks
• Flavor dependence of unpolarized quark Transverse Momentum Distributions from a global fit
• Factorization connecting continuum and lattice TMDs
• Lattice Calculation of the Intrinsic Soft Function and the Collins-Soper Kernel
• Moments of proton GPDs from the OPE of nonlocal quark bilinears up to NNLO
• Renormalization of transverse-momentum-dependent parton distribution on the lattice
• Transverse-momentum-dependent wave functions and Soft functions at one-loop in Large Momentum Effective Theory
• Disentangling Long and Short Distances in Momentum-Space TMDs
• Continuum limit of parton distribution functions from the pseudo-distribution approach on the lattice
• Nonperturbative Collins-Soper Kernel from Chiral Quarks with Physical Masses
• One-loop matching for gluon lattice TMDs
• One-Loop Hybrid Renormalization Matching Kernels for Quasi-Parton Distributions
• Transverse Momentum Dependent Fragmentation Functions from recent BELLE data
• Non-singlet quark helicity PDFs of the nucleon from pseudo-distributions
• Quasi Transverse Momentum Dependent Distributions at Next-to-Next-to-Leading order
• Gluon Transverse-Momentum-Dependent Distributions from Large-Momentum Effective Theory
• Generalized parton distributions from the pseudo-distribution approach on the lattice
• Transverse momentum distributions of valence quark in light and heavy vector mesons
• Transverse Momentum Distributions of Heavy Hadrons and Polarized Heavy Quarks
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Nonperturbative renormalization of asymmetric staple-shaped operators in twisted mass lattice QCD
• A Better Angle on Hadron Transverse Momentum Distributions at the EIC
• The resolution to the problem of consistent large transverse momentum in TMDs
• Collins-Soper Kernel in the QCD Instanton Vacuum
• Universality of the Collins-Soper kernel in lattice calculations
• Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Unpolarized Quarks at Nonzero Skewness
• Large-Momentum Effective Theory's Asymptotic Extrapolation vs the Inverse Problem
• Collinear and TMD distributions with dynamical soft-gluon resolution scale
• One-loop Matching Factors for Singlet Quasi-Parton Distribution Functions in the Hybrid-Ratio Scheme
• Lattice QCD Benchmark of Proton Helicity and Flavor-Dependent Unpolarized Transverse Momentum-Dependent Parton Distribution Functions at Physical Quark Masses