Fragmentation Production of Triply Heavy Baryons at the CERN LHC

Abstract

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.

Comments: 12 pages, 6 figures, To Appear in PRD