Renormalization group improved ms and |Vus| determination from hadronic τ decays

Abstract

We determine the strange quark mass (${m}_{s}$) and quark mixing element $|{V}_{us}|$, and their joint determination from the Cabibbo suppressed hadronic $\ensuremath{\tau}$ decays in various perturbative schemes. We improve this analysis compared to the previous analysis based on the optimal renormalization or the renormalization group summed perturbation theory (RGSPT) scheme by replacing the theoretical longitudinal contributions with phenomenological parametrization; the RGSPT coefficients are used for the dimension-4 Adler functions. The improved analysis results in the extraction of ${m}_{s}(2\text{ }\text{ }\mathrm{GeV})=98\ifmmode\pm\else\textpm\fi{}19\text{ }\mathrm{MeV}$ and $|{V}_{us}|=0.2191\ifmmode\pm\else\textpm\fi{}0.0043$ from the RGSPT scheme.