6533b7d8fe1ef96bd126a1f1

RESEARCH PRODUCT

TRANSVERSE MOMENTUM-DEPENDENT PARTON DISTRIBUTIONS FROM LATTICE QCD

P. HäglerB. MuschMichael EngelhardtJohn W. NegeleAndreas Schäfer

subject

QuarkPhysicsParticle physicsHigh Energy Physics::LatticeLorentz transformationHigh Energy Physics::PhenomenologyObservablePartonLattice QCDDeep inelastic scatteringTransverse planesymbols.namesakeLattice (order)symbolsHigh Energy Physics::Experiment

description

Starting from a definition of transverse momentum-dependent parton distributions for semi-inclusive deep inelastic scattering and the Drell-Yan process, given in terms of matrix elements of a quark bilocal operator containing a staple-shaped Wilson connection, a scheme to determine such observables in lattice QCD is developed and explored. Parametrizing the aforementioned matrix elements in terms of invariant amplitudes permits a simple transformation of the problem to a Lorentz frame suited for the lattice calculation. Results for the Sivers and Boer-Mulders transverse momentum shifts are presented, focusing in particular on their dependence on the staple extent and the Collins-Soper evolution parameter.

https://doi.org/10.1142/s2010194512009191