Singlet vs Nonsinglet Perturbative Renormalization factors of Staggered Fermion Bilinears
Department of Physics, University of Cyprus, POB 20537, 1678, Nicosia, Cyprus
* Speaker, e-mail: firstname.lastname@example.org
Published online: 26 March 2018
In this paper we present the perturbative computation of the difference between the renormalization factors of flavor singlet (, f : flavor index) and nonsinglet () bilinear quark operators (where Γ = 𝟙, γ5, γ µ, γ5 γ µ, γ5 σµv on the lattice. The computation is performed to two loops and to lowest order in the lattice spacing, using Symanzik improved gluons and staggered fermions with twice stout-smeared links. The stout smearing procedure is also applied to the definition of bilinear operators. A significant part of this work is the development of a method for treating some new peculiar divergent integrals stemming from the staggered formalism. Our results can be combined with precise simulation results for the renormalization factors of the nonsinglet operators, in order to obtain an estimate of the renormalization factors for the singlet operators. The results have been published in Physical Review D .
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).