$B \to K_1(1270) (\to \rho K) \ell^+ \ell^-$ in LEET

Abstract

Flavour Changing Neutral Current decays of the $B$-meson are a very useful tool for studying possible physics scenarios beyond the Standard Model (SM), where of the many FCNC modes radiative, purely leptonic and semi-leptonic decays of the $B$-meson are relatively clean tests. Within this context the BELLE collaboration has searched for the $B \to K_1(1270) \gamma$ process and provided an upper bound on this decay. In this work we have used this upper bound in studying the angular coorelations for the related semi-leptonic decay mode $B \to K_1(1270) (\to \rho K) \ell^+ \ell^-$, where we have used the form factors that have already been estimated for the $B \to K_1(1270) \gamma$ mode. Note that the additional form factors that are required were calculated using the Large Energy Effective Theory (LEET).