The triply heavy baryons in the standard model formed in direct $c$ and $b$ quark fragmentation are the $\Omega_{ ccc}$, $\Omega_{ ccb}$, $\Omega_{ cbb}$ and $\Omega_{ bbb}$ baryons. We calculate their fragmentation functions in leading order of perturbative QCD. The universal fragmentation probabilities fall within the range of $10^{ -5}-10^{ -7}$.We also evaluate their cross section at the LHC ($\sqrt{ s}=14$ TeV) using next-to-leading order matrix elements for heavy quark-antiquark pair production. We present the differential cross sections as functions of the transverse momentum as well as the total cross sections. They range from a few nb to a few pb.
Categories: hep-ph