The isospin asymmetry in $B \to K^* \mu^+ \mu^-$ using AdS/QCD

Understand

We compute the isospin asymmetry distribution in the rare dileptonic decay $B \to K^* \mu^+ \mu^-$, in the dimuon mass squared ($q^2$) region below the $J/\Psi$ resonance, using non-perturbative inputs as predicted by the anti-de Sitter/Quantum Chromodynamics (AdS/QCD) correspondence and by Sum Rules.

• We predict a positive asymmetry at $q^2=0$ which flips sign in the region $q^2 \in [1,2]~\mbox{GeV}^2$ to remain small ($\le 2\%$) and negative for larger $q^2$.
• While our predictions are distinct as $q^2 \to 0$, they become hardly model-dependent $q^2 \ge 4~\mbox{GeV}^2$.
• We compare our predictions to the most recent LHCb data.