Improved quasi parton distribution through Wilson line renormalization
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Publication:505494
DOI10.1016/J.NUCLPHYSB.2016.12.004zbMATH Open1354.81051arXiv1609.08102OpenAlexW2527544805MaRDI QIDQ505494
Author name not available (Why is that?)
Publication date: 25 January 2017
Published in: (Search for Journal in Brave)
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 -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.
Full work available at URL: https://arxiv.org/abs/1609.08102
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