Higgs boson decay to charmonia via $\mathcal{c}$-quark fragmentation
We calculate the decay branching fractions of the Higgs boson to $J/ψ$ and $n_c$ via the charm-quark fragmentation mechanism for the color-singlet and color-octet states in the framework of non-relativistic QCD. The decay rates are governed by the charm-quark Yukawa coupling, unlike the decay H → $J/ψ$ +γ, which is dominated by the $γ^*- J/ψ$ mixing. We find that the decay branching fractions can be about 2 x 10 -5 for H →$c\bar c$ + $J/ψ$, and 6 x 10 -5 for H →$c\bar c$ + $n-c$. We comment on the perspective of searching for the Higgs boson to $J/ψ$ transition at the High-Luminosity LHC for testing the charm-quark Yukawa coupling.