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Roig","submitted_at":"2021-07-09T18:00:05Z","abstract_excerpt":"The ratios $R_{\\tau/P}\\equiv \\Gamma(\\tau \\to P \\nu_\\tau [\\gamma]) / \\Gamma(P \\to\\mu \\nu_\\mu[\\gamma])$ ($P=\\pi, K$) provide sensitive tests of lepton universality $\\left|g_\\tau/g_\\mu\\right|=1$ and are a useful tool for new physics searches. The radiative corrections to $R_{\\tau/P}$ are computed following a large-$N_C$ expansion to deal with hadronic effects: Chiral Perturbation Theory is enlarged by including the lightest multiplets of spin-one heavy states such that the relevant Green functions are well-behaved at high energies. 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