Excited doubly heavy baryons production via Higgs decays

Through the interaction of Higgs with heavy quarks in standard model, we have systematically studied and predicted the production of excited doubly heavy baryons based on non-relativistic QCD theory. The decay widths, differential distributions, and major theoretical uncertainties of the excited doubly heavy baryons via the process $H\to ⟨Q{Q}^{\mathrm{\prime }}⟩[n]\to {\mathrm{\Xi }}_{Q{Q}^{\mathrm{\prime }}}+\overline{Q^{\mathrm{\prime }}}+\bar{Q}$ are discussed in detail. The spin and color quantum number of the intermediate $P$-wave diquark state $⟨Q{Q}^{\mathrm{\prime }}⟩[n]$ can be $⟨cc⟩{[}^1{P}_1{]}_{\bar{\mathbf{3}}}$, $⟨cc⟩{[}^3{P}_J{]}_{\mathbf{6}}$, $⟨bc⟩{[}^1{P}_1{]}_{\bar{\mathbf{3}}\mathrm{/}\mathbf{6}}$, $⟨bc⟩{[}^3{P}_J{]}_{\bar{\mathbf{3}}\mathrm{/}\mathbf{6}}$, $⟨bb⟩{[}^1{P}_1{]}_{\bar{\mathbf{3}}}$ and $⟨bb⟩{[}^3{P}_J{]}_{\mathbf{6}}$, with $J=0,1,2$. The contributions from all summed $P$-wave states can be about $3.05\mathrm{\%}$, $3.23\mathrm{\%}$ and $2.19\mathrm{\%}$ of the $S$-wave states for the production of ${\mathrm{\Xi }}_{cc}$, ${\mathrm{\Xi }}_{bc}$ and ${\mathrm{\Xi }}_{bb}$, accordingly. Therefore, there will be about 0.41$\times {10}^4$ events of ${\mathrm{\Xi }}_{cc}$, 6.35$\times {10}^4$ events of ${\mathrm{\Xi }}_{bc}$ and 0.28$\times {10}^4$ events of ${\mathrm{\Xi }}_{bb}$ produced per year at the HL-LHC, and a smaller number of events would be produced at the CEPC or ILC but with a cleaner background to be measured by the experiments.