One-loop matching for parton distributions: Nonsinglet case

By Xiaonu Xiong, X. Ji, Jian-Hui Zhang, Yong Zhao. 2013

144 citations recorded by the source corpus.

We derive the one-loop matching condition for nonsinglet quark distributions in the transverse-momentum cutoff scheme, including unpolarized, helicity and transversity distributions. The matching is between the quasidistribution defined by static correlation at finite nucleon momentum and the light-cone distribution measurable in experiments. The result is useful for extracting the latter from the former in a lattice QCD calculation which uses the lattice spacing as the ultraviolet cutoff.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/c99484d584c9b465c5e3281760c9e9460830d991

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In Nuclear and High Energy Physics

1. M. Constantinou
2. Krzysztof Cichy
3. Huey-Wen Lin
4. C. Alexandrou
5. H. Panagopoulos
6. Jiunn-Wei Chen
7. K. Jansen
8. Saul D. Cohen

Citations in the corpus

• Flavor structure of the nucleon sea from lattice QCD (2014, background): “At large but finite Pz, one has an effective field theory expansion [22]”
• A Guide to Light-Cone PDFs from Lattice QCD: An Overview of Approaches, Techniques, and Results (2018, methodology): “[98] that was obtained in the transverse momentum cutoff scheme and was later replaced by matching formulae calculated in dimensional regularization (see Sec.”
• A complete non-perturbative renormalization prescription for quasi-PDFs (2017, methodology): “[11] are not present in our renormalized results.”