$B_c$ Production in Higgs Boson Decays

TL;DR

This paper evaluates the production rate of $B_c$ mesons in Higgs boson decays using NRQCD, finding a measurable branching fraction at the LHC and a significantly higher rate compared to other quarkonia, with detailed distribution analysis.

Contribution

It provides the first detailed calculation of $B_c$ production in Higgs decays within the NRQCD framework, including QED and QCD effects, and compares it to other quarkonia production rates.

Findings

Branching fraction of $B_c$ in Higgs decays is $8.50\times10^{-4}$.

$B_c$ production rate exceeds charmonium and bottomonium rates by over an order of magnitude.

Various differential distributions and uncertainties are analyzed.

Abstract

$B_c$ production rate in Higgs boson decays is evaluated in NRQCD framework. Given Higgs total decay width is about $4.20~MeV$ and the vector $B^*_c$ meson decays completely to the ground state, we find that the branching fraction of $B_c$ meson production in Higgs decays is $8.50\times10^{-4}$, where both leading QED and QCD contributions are included. This process is hence detectable in the high-luminosity/energy LHC. In confronting to the quarkonia production, we find that the fraction rate of $B_c$ production is more than an order of magnitude bigger than those of charmonium and bottomoium production in Higgs decays. In the calculation, various differential distributions and uncertainties of the concerned processes are analysed.