Imprinting New Physics by using Angular profiles of the FCNC process $B_c\to D_s^{\ast }\left(\to D_s\pi \right){\ell }^{+}{\ell }^{-}$

Abstract

The decays governed by the flavor-changing-neutral-current transitions (FCNC), such as $b\to s{\ell }^{+}{\ell }^{-}$, provide an important tool to test the physics in and beyond the Standard Model (SM). This work focuses on investigating the FCNC process $B_c\to D_s^{\ast }\left(\to D_s\pi \right){\ell }^{+}{\ell }^{-}(\ell =e,\mu ,\tau )$. Being an exclusive process, the initial and final state meson matrix elements involve the form factors, which are non-perturbative quantities and need to be calculated using specific models. By using the form factors calculated in the covariant light-front quark model, we analyze the branching fractions and angular observables such as the forward-backward asymmetry $A_{FB}$, polarization fractions (Longitudinal and transverse) $F_{L(T)}$, CP asymmetry coefficients $A_i$ and CP-averaged angular coefficients $S_i$, both in the SM and some new physics (NP) scenarios. Some of these physical observables are a potential source of finding the physics beyond the SM and help us distinguish various NP scenarios.

Comments: 17 pages, 3 Figures