Imprinting New Physics by Using Angular Profiles of the Flavor-Changing-Neutral-Current Process <i>Bc</i> → <i>Ds</i>* (→ <i>Ds</i>π) <i>ℓ</i>+<i>ℓ</i>-

Abstract The decays governed by the flavor-changing-neutral-current (FCNC) transitions, such as $b\rightarrow s\ell ^{+}\ell ^{-}$, provide an important tool to test the physics in and beyond the Standard Model (SM). This work focuses on investigating the FCNC process $B_{c}\rightarrow D_{s}^{*} \left(\rightarrow D_{s}\pi \right)\ell ^{+}\ell ^{-}(\ell =e,\mu ,\tau )$. Being an exclusive process, the initial and final state meson matrix elements involve the form factors, which are nonperturbative 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 $A_{\mathrm{ FB}}$, 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 in some new physics (NP) scenarios. Some of these physical observables are a potential source of finding the physics beyond the SM and help us to distinguish various NP scenarios.