Radiative μ and τ leptonic decays at NLO

Author:

Fael M.,Mercolli L.,Passera M.

Abstract

Abstract We present the differential rates and branching ratios of the radiative decays $$ \tau \to l\overline{\nu}\nu \gamma $$ τ l ν ¯ ν γ , with l = e or μ, and $$ \mu \to e\overline{\nu}\nu \gamma $$ μ e ν ¯ ν γ in the Standard Model at next-to-leading order. Radiative corrections are computed taking into account the full depencence on the mass m l of the final charged leptons, which is necessary for the correct determination of the branching ratios. Only partial agreement is found with previous calculations performed in the m l → 0 limit. Our results agree with the measurements of the branching ratios $$ \mathrm{\mathcal{B}}\left(\mu \to e\overline{\nu}\nu \gamma \right) $$ μ e ν ¯ ν γ and $$ \mathrm{\mathcal{B}}\left(\tau \to \mu \overline{\nu}\nu \gamma \right) $$ τ μ ν ¯ ν γ for a minimum photon energy of 10 MeV in the μ and τ rest frames, respectively. Babar’s recent precise measurement of the branching ratio $$ \mathrm{\mathcal{B}}\left(\tau \to e\overline{\nu}\nu \gamma \right) $$ τ e ν ¯ ν γ , for the same photon energy threshold, differs from our prediction by 3.5 standard deviations.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

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