Abstract
To the leading order, the radiative leptonic decays B c→γℓ ν ̄ (ℓ= e, μ ) are studied carefully. In the study, a non-relativistic constituent quark model and the effective Lagrangian for the heavy flavour decays are used. As a result, the branching ratios turn out to be of the orders of 10 −5 for B c→γμ ν ̄ or for B c→γe ν ̄ . Based on the study, we point out the decays being accessible experimentally at the future LHC, and the possibility to determine the decay constant f B c through the radiative decays.
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