Abstract
In calculating hadronic contributions to precision observables for tests of the Standard Model in lattice QCD, the electromagnetic current plays a central role. Using a Wilson action with improvement in QCD with flavors, a counterterm must be added to the vector current in order for its on-shell matrix elements to be improved. In addition, the local vector current, which has support on one lattice site, must be renormalized. At , the breaking of the symmetry by the quark mass matrix leads to a mixing between the local currents of different quark flavors. We present a nonperturbative calculation of all the required improvement and renormalization constants needed for the local and the conserved electromagnetic current in QCD with -improved Wilson fermions and tree-level Symanzik improved gauge action, with the exception of one coefficient, which we show to be order in lattice perturbation theory. The method is based on the vector and axial Ward identities imposed at finite lattice spacing and in the chiral limit. We make use of lattice ensembles generated as part of the coordinated lattice simulations initiative.
- Received 25 November 2018
DOI:https://doi.org/10.1103/PhysRevD.99.014519
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society