Radiative corrections to the ${\tau }^{-}\to (P_1{P}_2{)}^{-}{\nu }_{\tau }$ ($P_{1,2}=\pi ,K$) decays

Abstract

The radiative corrections to the ${\tau }^{-}\to (P_1{P}_2{)}^{-}{\nu }_{\tau }$ ($P_{1,2}=\pi ,K$) decays are calculated for the first time including the structure-dependent real photon corrections, which are obtained using Resonance Chiral Theory. Our results, whose uncertainty is dominated by the model-dependence of the resummation of the radiative corrections and the missing virtual structure-dependent contributions, allow for precise tests of CKM unitarity, lepton flavour universality and non-standard interactions.

arXiv comment37 pages, 12 figures, 4 tables. Accepted for publication in PRD