Perturbative renormalization of staggered fermion operators with stout improvement: Application to the magnetic susceptibility of QCD

摘要: We calculate the fermion propagator and quark-antiquark Green's functions for a complete set of ultralocal bilinears, ${{\cal O}_\Gamma}$ [$\Gamma$: scalar (S), pseudoscalar (P), vector (V), axial (A) tensor (T)], using perturbation theory up to one-loop lowest order in lattice spacing. employ staggered action fermions Symanzik Improved gluons. From our calculations we determine renormalization quark field all taste-singlet bilinear operators. The novel aspect is that gluon links which appear both definition bilinears have been improved by applying stout smearing procedure two times, iteratively. Compared most other formulations fermions, above action, as well HISQ lead smaller taste violating effects. are presented RI$'$ scheme; dependence on parameters, coupling constant, number colors, spacing, gauge fixing parameter scale, shown explicitly. We apply results nonperturbative study magnetic susceptibility QCD at zero finite temperature. In particular, evaluate "tensor coefficient", $\tau$, relevant anomalous moment muon.