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 $H \rightarrow \langle QQ'\rangle[n] \rightarrow \Xi_{ QQ'}+ \bar { Q'} + \bar { Q}$ are discussed in detail. The spin and color quantum number of the intermediate $P$-wave diquark state $\langle QQ'\rangle[n]$ can be $\langle cc\rangle[^{ 1}P_{ 1}]_{ \mathbf{ \bar 3}}$, $\langle cc\rangle[^{ 3}P_{ J}]_{ \mathbf{ 6}}$, $\langle bc\rangle[^{ 1}P_{ 1}]_{ \mathbf{ \bar 3}/ \mathbf{ 6}}$, $\langle bc\rangle[^{ 3}P_{ J}]_{ \mathbf{ \bar 3}/ \mathbf{ 6}}$, $\langle bb \rangle[^{ 1}P_{ 1}]_{ \mathbf{ \bar 3}}$ and $\langle bb\rangle[^{ 3}P_{ J}]_{ \mathbf{ 6}}$, with $J=0, 1, 2$. The contributions from all summed $P$-wave states can be about $3.05\%$, $3.23\%$ and $2.19\%$ of the $S$-wave states for the production of $\Xi_{ cc}$, $\Xi_{ bc}$ and $\Xi_{ bb}$, accordingly. Therefore, there will be about 0.41$\times10^4$ events of $\Xi_{ cc}$, 6.35$\times10^4$ events of $\Xi_{ bc}$ and 0.28$\times10^4$ events of $\Xi_{ bb}$ 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.
Categories: hep-ph