Higgs boson decays to $B_c$ meson in the fragmentation-function approach

Abstract

In the paper, we present a calculation of the decay widths for the Higgs boson decays to the $B_c$, $B_c^{\ast }$, $B_c(2^1{S}_0)$ and $B_c^{\ast }(2^3{S}_1)$ mesons using the fragmentation-function approach. In the calculation, the fragmentation functions up to order ${\alpha }_s^3$ based on the nonrelativistic QCD factorization theory are used, and the decay widths for $H\to Q+X$ and $H\to g+X$ at the partonic level are calculated up to order ${\alpha }_s$. The large logarithms of $m_H^2/m_{Bc}^2$ are resummed up to next-to-leading logarithmic accuracy by solving the evolution equations for the running quark masses and the fragmentation functions. Compared to the leading-order decay widths based on the nonrelativistic QCD approach, the decay widths based on the fragmentation-function approach that include the higher-order QCD corrections are reduced significantly. Our numerical results show that there are about $1.2\times 10^5$ $B_c$ events via the Higgs decays to be produced at the HL-LHC with $3a{b}^{-1}$, and about $1.6\times 10^6$ $B_c$ events via the Higgs decays to be produced at the HE-LHC with $15a{b}^{-1}$.

12 pages, 9 figures

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• Hadron production through Higgs decay at next-to-leading order in the general-mass variable-flavor-number scheme
• Study of the two-body nonleptonic $B_c(2S)$ weak decays with the QCD factorization approach