The effects of non-standard Z couplings on the lepton polarizations in B_s to \gamma \ell^+ \ell^- decays

The fact that the measured B to \pi \pi, \pi K branching ratios exhibit puzzling patterns has received a lot of attention in the literature and motivated the formulation of a series of new physics scenarios with enhanced Z-penguins. In this work, we analyze the effect of such an enhancement on the lepton polarization asymmetries of B_s to \gamma \ell^+ \ell^- decays by applying the results of a specific scenario for the solution of ``B to \pi K puzzle’'.