One-loop matching for gluon lattice TMDs

Abstract

Transverse-momentum-dependent parton distributions (TMDs) can be calculated from first principles by computing a related set of Euclidean lattice observables and connecting them via a factorization formula. This work focuses on the leading-power factorization formula connecting the lattice quasi-TMD and continuum Collins TMD for gluons. We calculate the one-loop gluon matching coefficient, which is known to be independent of spin and exhibits no mixing with quarks. We demonstrate that this coefficient satisfies Casimir scaling with respect to the quark matching coefficient at one-loop order. Our result facilitates reliable lattice QCD calculations of gluon TMDs.

11 pages, 2 figures, v2: updates to match journal

References in corpus (10)

• Soft Factor Subtraction and Transverse Momentum Dependent Parton Distributions on Lattice
• Lattice QCD calculation of the Collins-Soper kernel from quasi TMDPDFs
• Nucleon Transverse Momentum-dependent Parton Distributions in Lattice QCD: Renormalization Patterns and Discretization Effects
• Determination of the Collins-Soper Kernel from Lattice QCD
• Lattice QCD Study of Transverse-Momentum Dependent Soft Function
• The Four Loop QCD Rapidity Anomalous Dimension
• Computing Light-Front Wave Functions Without Light-Front Quantization: A Large-Momentum Effective Theory Approach
• Factorization connecting continuum and lattice TMDs
• Disentangling Long and Short Distances in Momentum-Space TMDs
• Single Transverse-Spin Asymmetry and Sivers Function in Large Momentum Effective Theory

Cited by in corpus (8)

• 50 Years of Quantum Chromodynamics
• The Present and Future of QCD
• Non-singlet quark helicity PDFs of the nucleon from pseudo-distributions
• Gluon Transverse-Momentum-Dependent Distributions from Large-Momentum Effective Theory
• Collins-Soper kernel from lattice QCD at the physical pion mass
• Counting linearly polarized gluons with lattice QCD
• Large-Momentum Effective Theory's Asymptotic Extrapolation vs the Inverse Problem
• Lattice QCD Benchmark of Proton Helicity and Flavor-Dependent Unpolarized Transverse Momentum-Dependent Parton Distribution Functions at Physical Quark Masses