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We derive holographic AdS/QCD Distribution Amplitudes for the transverselypolarised $\rho$ meson and we use them to predict the branching ratio for thedecays $\bar B^\circ\rightarrow \rho^\circ \gamma$ and $\barB^\circ_s\rightarrow \rho^\circ \gamma$ beyond leading power accuracy in theheavy quark limit. For $\bar B^\circ\rightarrow \rho^\circ \gamma$, ourpredictions agree with those generated using Sum Rules (SR) DistributionAmplitudes and with the data from the BaBar and Belle collaborations. Incomputing the weak annihilation amplitude which is power-supressed in $\barB^\circ\rightarrow \rho^\circ \gamma$ but is the leading contribution in$\bar{B}^{\circ}_s\rightarrow \rho^\circ \gamma$, we find that, in its presentform, the AdS/QCD DA avoids the end-point divergences encountered with the SRDA .

Predicting $B -> \rho \gamma$ and $B_s -> \rho \gamma$ using holographic AdS/QCD Distribution Amplitudes for the $\rho$ meson