Weak decays of Bc involving vector mesons in self-consistent covariant light-front approach

We present a comprehensive analysis of weak transition form factors, semileptonic decays, and nonleptonic decays of Bc meson involving pseudoscalar (P) and vector (V) meson for bottom-conserving and bottom-changing decay modes. We employ self-consistent covariant light-front quark model (CLFQM), termed as Type-II correspondence, to calculate the Bc to $P(V)$ transition form factors. The Type-II correspondence in the CLF approach gives self-consistent results associated with the B⁽ⁱ⁾ⱼ functions, which vanish numerically after the replacement M⁽⁾ → M₀⁽⁾ in traditional Type-I correspondence, and the covariance of the matrix elements is also restored. We investigate these effects on bottom conserving Bc → P(V) form factors that have not yet been studied in CLFQM Type-II correspondence. In addition, we quantify the implications of self-consistency propagating to weak decays involving both bottom-conserving and bottom-changing Bc transition form factors. We use two different parameterizations, the usual three-parameter function of q² and the model-independent z-series expansion, to establish a clear understanding of q² dependence. Using the numerical values of the form factors, we predict the branching ratios and other physical observables, such as, forward-backward asymmetries, polarization fractions, etc., of the semileptonic Bc decays. We extend our analysis to predict the branching ratios of two-body nonleptonic weak decays using the factorization hypothesis in self-consistent CLFQM. We also compare our results with those of other theoretical studies.