Predicting the isospin asymmetry in $B -> K* \gamma$ using holographic AdS/QCD Distribution Amplitudes for the K*

Abstract

We predict the isospin asymmetry as well as the branching ratio for the decay $B -> K* \gamma$ within QCD factorization using new anti-de Sitter/Quantum Chromodynamics (AdS/QCD) holographic Distribution Amplitudes (DAs) for the K* meson. Our prediction for the branching ratio agrees with that obtained using standard QCD Sum Rules (SR) DAs and with experiment. More interestingly, our prediction for the isospin asymmetry using the AdS/QCD DA does not suffer from the end-point divergence encountered when using the corresponding SR DA. We predict an isospin asymmetry of 3.3 % in agreement with the most recent average measured value of (5.2 \pm 2.6) % quoted by the Particle Data Group.