Lepton flavor violating B -K ^∗<inf>2</inf>(1430) μ ^± τ ^± decays

A number of measurements in decays induced by the semileptonic b → s and b → c transitions hint towards a possible role of new physics in both sectors. Motivated by these anomalies, we investigate the lepton flavor violating B → K2*(1430) m±t∓ decays. We calculate the two-fold angular distribution of B → K2*ℓ1ℓ2 decay in the presence of vector, axial-vector, scalar and pseudo-scalar new physics interactions. We then compute the branching fraction and lepton forward–backward asymmetry in the framework of 12 3 vector leptoquark which is a viable solution to the current B anomalies. We find that the upper limits are B (B → K2*m-t+) ≤1.64 ´ 10-7 and B (B → K2*m+t-) ≤ 0.60 ´ 10-7 at 90% C.L.