Unravelling theoretical challenges in understanding $B_c$ meson decay

Abstract

The $B_c$ meson, a unique bound state comprising of two open heavy flavors, charm and bottom, offers a rich avenue for probing the predictions of the Next Decade - Standard Model (ND-SM) physics properties due to its heavy mass. With recent observations of its excited states, interest in understanding $B_c$ production mechanisms and decay modes has surged. This article presents the current state of art on $B_c$ mesons, encompassing production mechanisms, properties of different decay modes, and theoretical modeling. We present novel findings on the newly constructed ratios $({\mathcal{R}}_{{\eta }_c/J/\psi }$, ${\mathcal{R}}_{D/D^{\ast }})$ in semileptonic and (${\mathcal{R}}_{\mu }^{\tau }{)}^{B_c}$ , (${\mathcal{R}}_{\mu }^{\tau }{)}^{B_c^{\ast }}$ in leptonic decays, respectively. These results emphasize the importance of $B_c$ studies in the future collider experiments. The article further explores CP effects in $B_c$ meson decays refining our understanding of heavy flavor properties. Finally, potential avenues for future research, and leveraging upcoming collider experiments are outlined.

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