Abstract
A detailed study of the impact of New Physics (NP) operators with different Lorentz structures, which are absent in the Standard Model Hamiltonian, on the B → $ K_2^{ * } $ (1430)μ + μ − decay is performed. In this context, the various observables such as branching ratio, forward-backward asymmetry of leptons, lepton polarization asymmetries and the helicity fractions of the final state K2(1430) meson have been studied. We have examined the effects of new vector-axial vector, scalar-pseudoscalar and tensor type interactions for this decay B → $ K_2^{ * } $ (1430)μ + μ − by using the constraints on different NP couplings which come from the Bs → μ+μ−, B → Xsμ+μ− and $ \overline B $ → $ \overline K $ ∗μ+μ− decays. It is found that the effects of V A, SP and T operators are significant on the zero position of AF B (q2) as well as on its magnitude. In addition to this these NP operators also give significant effects on the differential decay rate, lepton polarization asymmetries and helicities fractions of final state $ K_2^{ * } $ (1430) meson.
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