Perturbative renormalization of quasi-parton distribution functions
Genre
Journal ArticleDate
2017-09-01Author
Constantinou, MPanagopoulos, H
Permanent link to this record
http://hdl.handle.net/20.500.12613/5680
Metadata
Show full item recordDOI
10.1103/PhysRevD.96.054506Abstract
© 2017 American Physical Society. In this paper we present results for the renormalization of gauge invariant nonlocal fermion operators which contain a Wilson line, to one-loop level in lattice perturbation theory. Our calculations have been performed for Wilson/clover fermions and a wide class of Symanzik improved gluon actions. The extended nature of such "long-link" operators results in a nontrivial renormalization, including contributions which diverge linearly as well as logarithmically with the lattice spacing, along with additional finite factors. On the lattice there is also mixing among certain subsets of these nonlocal operators; we calculate the corresponding finite mixing coefficients, which are necessary in order to disentangle individual matrix elements for each operator from lattice simulation data. Finally, extending our perturbative setup, we present nonperturbative prescriptions to extract the linearly divergent contributions.Citation to related work
American Physical Society (APS)Has part
Physical Review DADA compliance
For Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.eduae974a485f413a2113503eed53cd6c53
http://dx.doi.org/10.34944/dspace/5662