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Determination of the Collins-Soper Kernel from Lattice QCD

Artur Avkhadiev, Phiala E. Shanahan, Michael L. Wagman, Yong Zhao

2024Physical Review Letters32 citationsDOIOpen Access PDF

Abstract

This Letter presents a determination of the quark Collins-Soper kernel, which relates transverse-momentum-dependent parton distributions (TMDs) at different rapidity scales, using lattice quantum chromodynamics (QCD). This is the first such determination with systematic control of quark mass, operator mixing, and discretization effects. Next-to-next-to-leading logarithmic matching is used to match lattice-calculable distributions to the corresponding TMDs. The continuum-extrapolated lattice QCD results are consistent with several recent phenomenological parametrizations of the Collins-Soper kernel and are precise enough to disfavor other parametrizations.

Topics & Concepts

PhysicsLattice QCDPartonQuantum chromodynamicsParticle physicsQuarkLattice field theoryLattice (music)RapidityHadronAcousticsParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle InteractionsHigh-Energy Particle Collisions Research
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