Study of $B\to K_0^{\ast }(1430){\mathrm{\ell }}^{+}{\mathrm{\ell }}^{-}$ Decay in the Standard Model and Scalar Leptoquark Scenario

This study examines the rare decay $B\to K_0^{\ast }(1430){\mathrm{\ell }}^{+}{\mathrm{\ell }}^{-}$ as a possible probe for new physics beyond the standard model (SM). We first analyze this channel within the SM and then include scalar leptoquark (LQ) contributions. We provide predictions for key observables, like differential decay rate, branching ratio, ratio of branching fractions at different channels, forward-backward asymmetry and different lepton polarizations, and assess their sensitivity to leptoquark scenarios, highlighting $q^2$ regions less affected by the long-distance charmonium effects. The results can be useful for future Belle II and LHCb measurements.