Problems with extracting m s from flavor breaking in hadronic τ decays
1998; American Physical Society; Volume: 58; Issue: 9 Linguagem: Inglês
10.1103/physrevd.58.093015
ISSN1538-4500
Autores Tópico(s)High-Energy Particle Collisions Research
ResumoA numerical error is pointed out in the existing expression for the $\mathcal{O}({\ensuremath{\alpha}}_{s}^{2})$ longitudinal component of the squared-mass $(D=2)$ contribution to the hadronic \ensuremath{\tau} decay rate. The corrected version is found to be such that, to $\mathcal{O}({\ensuremath{\alpha}}_{s}^{2}),$ each term in the resulting series is larger than the previous one, hence ruling out the direct use of flavor breaking in hadronic \ensuremath{\tau} decays as a means of extracting the strange quark mass. An alternate approach, in which one uses the model spectral functions previously developed for the strangeness-changing scalar channel (and employed in alternate sum rule analyses of ${m}_{s})$ as input to the \ensuremath{\tau} decay analysis, is shown to provide mutual consistency checks for the two different methods. The results for ${m}_{s}$ implied by \ensuremath{\tau} decay data and the existing model spectral function are also presented.
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