The ${\Upsilon}(1S)$ ${\to}$ $B_{c}{\rho}$ decay with perturbative QCD approach

TL;DR

This paper investigates the rare weak decay of the upsilon(1S) meson into Bc and rho particles using perturbative QCD, predicting a branching ratio potentially observable at future collider experiments.

Contribution

It provides a theoretical prediction of the branching ratio for the ${
S}$ ${ o}$ $B_{c}{ ho}$ decay using pQCD, highlighting the dominant polarization contributions.

Findings

Branching ratio can reach ${ m O}(10^{-9})$

Longitudinal polarization dominates the decay amplitude

Potential observability at future experiments

Abstract

With the potential prospects of the ${\Upsilon}(1S)$ data samples at the running LHC and upcoming SuperKEKB, the ${\Upsilon}(1S)$ ${\to}$ $B_{c}{\rho}$ weak decays are studied with the pQCD approach. It is found that (1) the lion's share of branching ratio comes from the longitudinal polarization helicity amplitudes; (2) branching ratio for the ${\Upsilon}(1S)$ ${\to}$ $B_{c}{\rho}$ decay can reach up to ${\cal O}(10^{-9})$, which might be hopefully measurable.