Radiative τ leptonic decays and the possibility to determine the τ dipole moments

Fael, Matteo; D’Ambrosio, G.; Iacovacci, M.; Passera, Massimo; Venanzoni, G.; Massarotti, P.; Mastroianni, S. (26 April 2016). Radiative τ leptonic decays and the possibility to determine the τ dipole moments. EPJ web of conferences, 118, 01012. EDP Sciences 10.1051/epjconf/201611801012

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Precise data on radiative leptonic τ decays offer the opportunity to probe the electromagnetic properties of the τ and may allow to determine its anomalous magnetic moment which, in spite of its precise Standard Model prediction, has never been measured. Recently, the branching fractions of the radiative leptonic τ decays (τ → lν¯νγ, with l = e, μ) were measured by the Babar collaboration. These precise measurements, with a relative error of about 3%, must be compared with the branching ratios at the next-to-leading order in QED. Indeed the radiative corrections are expected to be of order 10%, for l = e, and 3%, for l = μ. Here, we present the prediction of the differential decay rates and branching ratios of the radiative leptonic τ decays in the Standard Model at the next-to-leading order and we compare them with the recent Babar measurements. Moreover, wereport on a dedicated feasibility study for the measurements of the τ anomalous magnetic moment at Belle and
Belle II.

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