Triply Heavy $\Omega$ Baryons with JETHAD: A High-Energy Viewpoint

TL;DR

This paper develops and applies advanced fragmentation functions for triply heavy Omega baryons to predict their production in high-energy collisions at future colliders.

Contribution

It introduces the full OMG3Q1.0 family of fragmentation functions, including novel charm and bottom channels, for high-energy baryon production modeling.

Findings

Fragmentation functions are constructed from improved proxy-model calculations.

The functions are matched to flavor-aware DGLAP evolution using HF-NRevo scheme.

Predictions for Omega baryon plus jet distributions at HL-LHC and FCC are provided.

Abstract

We investigate the leading-power fragmentation of triply heavy $\Omega$ baryons in high-energy hadronic collisions. Extending our previous work on the $\Omega_{3c}$ sector, we release the full OMG3Q1.0 family of collinear fragmentation functions by completing the description of the charm channel and delivering the novel $\Omega_{3b}$ functions. These hadron-structure-oriented functions are constructed from improved proxy-model calculations for heavy-quark and gluon fragmentation, matched to a flavor-aware DGLAP evolution based on the HF-NRevo scheme. For phenomenological applications, we employ the (sym)JETHAD multimodular interface to compute and analyze NLL/NLO$^+$ semi-inclusive $\Omega_{3Q}$ plus jet distributions at the HL-LHC and FCC. This work consolidates the link between hadron structure, rare baryon production, and resummed QCD at the energy frontier.