Lepton polarization asymmetries in B → K1ℓ+ℓ− decay as a searching tool for new physics

We study the single and double lepton polarization asymmetries in B → K1ℓ+ℓ− (ℓ = μ, τ ) decay by using most general non-standard local four-fermi interactions, where K1 is the mixture of axial vector states K1A and K1B , which are the 3P1 and 1P1 states respectively. This study shows that both single and double lepton polarization asymmetries are influenced by new physics couplings. We have also seen the dependence of these asymmetries on mixing angle θK between K1A and K1B flavor states. In addition to these, correlations between the lepton polarization asymmetries and branching ratio are also calculated. We have found that the observation of the above mentioned asymmetries at present and future colliders such as LHC and Super B factories will assist to dig out the status of physics beyond the SM.