English

Mass Corrections to the Tau Decay Rate

High Energy Physics - Phenomenology 2015-06-25 v1

Abstract

In this note radiative corrections to the total hadronic decay rate of the τ\tau-lepton are studied employing perturbative QCD and the operator product expansion. We calculate quadratic quark mass corrections to the decay rate ration RτR_{\tau} to the order O(αs2m2){\cal O}(\alpha_s^2 m^2) and find that they contribute appreciably to the Cabbibo supressed decay modes of the τ\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.

Cite

@article{arxiv.hep-ph/9805232,
  title  = {Mass Corrections to the Tau Decay Rate},
  author = {K. G. Chetyrkin and A. Kwiatkowski},
  journal= {arXiv preprint arXiv:hep-ph/9805232},
  year   = {2015}
}

Comments

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(\alpha_s^2) coefficient in eq. (27). As a consequence also some tables in Section 4 have been modified