Polarized forward-backward asymmetries of lepton pair in $B\to K_1{\ell }^{+}{\ell }^{-}$ decay in the presence of New physics

Abstract

Double polarized forward-backward asymmetries in $B\to K_1(1270,1400){\ell }^{+}{\ell }^{-}$ with $\ell =\mu ,\tau$ decays are studied, using most general non-standard local four-fermi interactions, where the mass eigenstates $K_1(1270)$ and $K_1(1400)$ are the mixture of ${}^1{P}_1$ and ${}^3{P}_1$ states with the mixing angle ${\theta }_K$. We have calculated the expressions of nine doubly polarized forward-backward asymmetries and it is presented that the polarized lepton pair forward-backward asymmetries are greatly influenced by the new physics. Therefore, these asymmetries are interesting tool to explore the status of new physics in near future, specially at LHC.

Comments: 24 pages, 13 figures