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- W3179173990 abstract "We discuss the general properties of the amplitude of the $Bto l^+l^-l'nu'$ decays and calculate the related kinematical distributions $d^2Gamma/dq^2dq'^2$, $q$ the momentum of the $l^+l^-$ pair emitted from the electromagnetic vertex and $q'$ the momentum of the $l'nu'$ pair emitted from the weak vertex. We emphasize that electromagnetic gauge invariance imposes essential constraints on the $Bto gamma^*l'nu'$ amplitude at small $q^2$ which in the end yield the behaviour of the differential branching fraction as $dGamma(Bto l^+l^-l' nu')/dq^2propto 1/q^2$ and a mild logarithmic dependence of $Gamma(Bto l^{+}l^{-}l'nu')$ on the lepton mass $m_l$. Consequently, (i) the main contribution to the decay rate $Gamma(Bto mu^+mu^-e nu_e )$ comes from the region of light vector resonances $rho^0$ and $omega$, $q^2simeq M_rho^2, M_omega^2$ and (ii) the decay rate $Gamma(Bto e^{+}e^{-}mu nu_mu)$ receives comparable contributions from the region of small $q^2$ and from the resonance region. As the result, the decay rate $Gamma(Bto e^+e^-mu nu_mu)$ is only a factor $sim 2$ larger than $Gamma(Bto mu^+mu^-enu_e)$. We perform a detailed analysis of the uncertainties in the theoretical predictions for the decays $Bto l^+l^-l'nu'$ in the Standard Model. We found that the theoretical expectations for such decays in the Standard Model are only marginally compatible with the recent upper limits of the LHCb collaboration." @default.
- W3179173990 created "2021-07-19" @default.
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- W3179173990 date "2021-07-16" @default.
- W3179173990 modified "2023-09-27" @default.
- W3179173990 title "Theoretical analysis of the leptonic decays $Bto ell ell ell'barnu_{ell'}$" @default.
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