Three-loop OPE Wilson coefficients of dimension-four operators for (axial-)vector and (pseudo-)scalar current correlators

Author(s)
Robin Brüser, André H. Hoang, Maximilian Stahlhofen
Abstract

We calculate the three-loop Wilson coefficients of all physically relevant dimension-four operators, i.e. GμνaGa,μν, miq¯jqj and mimjmk2, in the short-distance expansion of the time-ordered product of a pair of gauge-singlet vector, axial-vector, scalar and pseudo-scalar currents. The results are given for a general non-Abelian gauge theory with arbitrary (compact semi-simple) gauge group and nf light fermion flavors (quarks) in a common arbitrary representation of the gauge group, which includes QCD as a special case. In particular, we allow for arbitrary flavor contents of each of the currents. For the axial-vector current the included contributions from so-called singlet diagrams are consistent with the one-loop axial anomaly.

Organisation(s)
Particle Physics
External organisation(s)
Albert-Ludwigs-Universität Freiburg
Journal
Journal of High Energy Physics
Volume
2024
No. of pages
34
ISSN
1029-8479
DOI
https://doi.org/10.48550/arXiv.2408.03989
Publication date
12-2024
Peer reviewed
Yes
Austrian Fields of Science 2012
103012 High energy physics
Keywords
ASJC Scopus subject areas
Nuclear and High Energy Physics
Portal url
https://ucrisportal.univie.ac.at/en/publications/cdcc6e52-9a0b-4129-94de-24a5e6f1b767