Mass Corrections to the Tau Decay Rate

Abstract

In this note radiative corrections to the total hadronic decay rate of the $\tau$-lepton are studied employing perturbative QCD and the operator product expansion. We calculate quadratic quark mass corrections to the decay rate ration $R_{\tau }$ to the order $\mathcal{O}({\alpha }_s^2{m}^2)$ and find that they contribute appreciably to the Cabbibo supressed decay modes of the $\tau$-lepton. We also discuss corrections of mass dimension D=4, where we emphasize the need of a suitable choice of the renormalization scale of the quark and gluon condensates.

13 pages, LaTeX, no figures. This version fixes a typo in eq. (25) of the original paper (Z. Phys. C59 (1993) 525) and an errror in a numerical integration procedure which has resulted to a significant increase of the O(α_s^2) coefficient in eq. (27). As a consequence also some tables in Section 4 have been modified

References in corpus (1)

• Renormalization group analysis of the tau-lepton decay within QCD

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