Radiative leptonicBdecays in the light front model

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Abstract

Within the light front framework, we calculate the form factors for $\stackrel{\ensuremath{\rightarrow}}{B}\ensuremath{\gamma}$ transitions directly in the entire physical range of momentum transfer. Using these form factors, we study the radiative decays of $\stackrel{\ensuremath{\rightarrow}}{B}l{\ensuremath{\nu}}_{l}\ensuremath{\gamma}$ and ${B}_{s(d)}\ensuremath{\rightarrow}\ensuremath{\nu}\overline{\ensuremath{\nu}}\ensuremath{\gamma}$. We show that the decay rates of $\stackrel{\ensuremath{\rightarrow}}{B}l{\ensuremath{\nu}}_{l}\ensuremath{\gamma}$ $(l=e,\ensuremath{\mu})$ and $\stackrel{\ensuremath{\rightarrow}}{B}\ensuremath{\nu}\overline{\ensuremath{\nu}}\ensuremath{\gamma}$ are larger than that of the corresponding purely leptonic modes. Explicitly, in the standard model, we find that the branching ratios of $\stackrel{\ensuremath{\rightarrow}}{B}\ensuremath{\mu}{\ensuremath{\nu}}_{\ensuremath{\mu}}\ensuremath{\gamma}$ and ${B}_{s}\ensuremath{\rightarrow}\ensuremath{\nu}\overline{\ensuremath{\nu}}\ensuremath{\gamma}$ are $1.3\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}6}$ and $2.0\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}8}$, in contrast with $2.3\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}7}$ and $0$ for $\stackrel{\ensuremath{\rightarrow}}{B}\ensuremath{\mu}{\ensuremath{\nu}}_{\ensuremath{\mu}}$ and $\stackrel{\ensuremath{\rightarrow}}{B}\ensuremath{\nu}\overline{\ensuremath{\nu}}$, respectively.

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