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Improved quasi parton distribution through Wilson line renormalization
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abstract
Recent developments showed that hadron light-cone parton distributions could be directly extracted from spacelike correlators, known as quasi parton distributions, in the large hadron momentum limit. Unlike the normal light-cone parton distribution, a quasi parton distribution contains ultraviolet (UV) power divergence associated with the Wilson line self energy. We show that to all orders in the coupling expansion, the power divergence can be removed by a "mass" counterterm in the auxiliary $z$-field formalism, in the same way as the renormalization of power divergence for an open Wilson line. After adding this counterterm, the quasi quark distribution is improved such that it contains at most logarithmic divergences. Based on a simple version of discretized gauge action, we present the one-loop matching kernel between the improved non-singlet quasi quark distribution with a lattice regulator and the corresponding quark distribution in dimensional regularization.
Forward citations
Cited by 5 Pith papers
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Disentangling Scheme Dependence in Quasi-PDFs with a Transverse-Momentum Cutoff
In the minimal TMC scheme, one-loop nonsinglet quasi-PDFs separate into explicit cutoff (and boundary UV) counterterms plus a remainder that carries the collinear IR pole and finite matching kernel.
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Mapping Parton Distributions of Hadrons with Lattice QCD
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