Possibility of experimental study on nonleptonic $B_{c}^{\ast}$ weak decays

TL;DR

This paper explores the potential for observing nonleptonic weak decays of the yet-undiscovered $B_{c}^{ ext{*}}$ meson in future colliders, suggesting several decay channels could yield detectable events.

Contribution

It provides the first theoretical estimates of nonleptonic $B_{c}^{ ext{*}}$ decay rates within the Standard Model using naive factorization, highlighting promising channels for experimental detection.

Findings

Several decay channels could produce hundreds to thousands of events.

Potential observability of $B_{c}^{ ext{*}}$ decays in future high-luminosity colliders.

Guidance for experimental searches for the $B_{c}^{ ext{*}}$ meson.

Abstract

The ground vector $B_{c}^{\ast}$ meson has not yet been experimentally discovered until now. Besides the dominant electromagnetic decays, nonleptonic weak decays provide another choice to search for the mysterious $B_{c}^{\ast}$ mesons. Inspired by the potential prospects of $B_{c}^{\ast}$ mesons in future high-luminosity colliders, nonleptonic $B_{c}^{\ast}$ weak decays induced by bottom and charm quark decays are studied within the SM by using a naive factorization approach. It is found that for $B_{c}^{\ast}$ ${\to}$ $B_{s,d}{\pi}$, $B_{s,d}^{\ast}{\pi}$, $B_{s,d}{\rho}$, $B_{s}K$, $B_{s}^{\ast}K$, $B_{s}K^{\ast}$, ${\eta}_{c}(1S,2S){\pi}$, ${\eta}_{c}(1S,2S){\rho}$ and ${\psi}(1S,2S){\pi}$ decays, a few hundred and even thousand of events might be observable in CEPC, FCC-ee and LHCb@HL-LHC experiments.