Pure Leptonic Radiative Decays $B^\pm, D_s\to\ellνγ$ and the Annihilation Graph

Abstract

Pure leptonic radiative decays of heavy-light mesons are calculated using a very simple non-relativistic model. Dominant contribution originates from photon emission from light initial quark. We find $BR(B^\pm\to\ellνγ)\sim3.5\times10^{-6}$ and $BR(D_s\to \ellνγ)\sim1.7 \times10^{-4}$. The importance of these reactions to clarify the dynamics of the annihilation graph is emphasized.