Three-loop OPE Wilson coefficients of dimension-four operators for (axial-)vector and (pseudo-)scalar current correlators
Year: 2024
Type: article
Abstract: A bstract We calculate the three-loop Wilson coefficients of all physically relevant dimension-four operators, i.e. $$ {G}_{\mu \nu}^a{G}^{a,\mu \nu} $$ G μν a G a , μν , $$ {m}_i{\overline{q}}_j{q}_j $$ m i q ¯ j q j and $$ {m}_i{m}_j{m}_k^2 $$ m i m j m k 2 , 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 n f 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.
Source: Journal of High Energy Physics
Institutions: University of Freiburg, University of Vienna
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4405354259