Renormalization group improved $m_s$ and $|V_{us}|$ determination from hadronic $\tau$ 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 $\tau$ decays in various perturbative schemes. Compared to the previous analysis based on the optimal renormalization or the renormalization group summed perturbation theory (RGSPT) scheme, we have improved this analysis by replacing the theoretical longitudinal contributions with phenomenological parametrization, and the RGSPT coefficients are used for the dimension-4 Adler functions. The improved analysis results in the extraction of $m_s(2\mathrm{GeV})=98\pm 19\mathrm{MeV}$ and $|V_{us}|=0.2191\pm 0.0043$ from the RGSPT scheme.

References added, tables corrected. Versin published in PhysRevD

References in corpus (15)

• Hadronic Z- and tau-Decays in Order alpha_s^4
• The five-loop beta function of Yang-Mills theory with fermions
• Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order alpha_s^4 in a General Gauge Theory
• alpha_s and the tau hadronic width: fixed-order, contour-improved and higher-order perturbation theory
• The Determination of alpha_s from Tau Decays Revisited
• Five-loop quark mass and field anomalous dimensions for a general gauge group
• On Higgs decays to hadrons and the R-ratio at N^4LO
• Towards the five-loop Beta function for a general gauge group
• |V_us| and m_s from hadronic tau decays
• The strong coupling from an improved $\tau$ vector isovector spectral function
• Electroweak Radiative Corrections to Semileptonic Tau Decays
• Precision physics with inclusive QCD processes
• V_us From Hadronin Tau Decays
• Optimal renormalization and the extraction of the strange quark mass from moments of the $\tau$-decay spectral function
• Joint Extraction of m_s and V_us from Hadronic Tau Decays

Cited by in corpus (2)

• Renormalization group summation and analytic continuation from spacelike to timeline regions
• Renormalization Group Improvement and QCD Sum Rules