Toward Precision Fragmentation of ${\Omega }_{3Q}$ Baryons: The OMG3Q1.1 Framework

Abstract

Recent experimental advances in the baryon sector, including the observation of doubly charmed states, have renewed interest in the production mechanisms of increasingly heavy hadronic systems, calling for precision and uncertainty-controlled descriptions. We present the OMG3Q1.1 framework for the fragmentation of same-flavor all-heavy ${\Omega }_{3Q}$ baryons in high-energy hadronic collisions. The construction combines diquark-inspired inputs for constituent-heavy-quark and gluon channels with threshold-aware DGLAP evolution within the HF-NRevo scheme. A replica-based strategy consistently quantifies perturbative missing-higher-order effects (F-MHOUs) and nonperturbative wave-function uncertainties (F-NPWFs), yielding the first uncertainty-resolved fragmentation-function set for the ${\Omega }_{3Q}$ sector. The resulting LHAPDF6 grids are employed to investigate semi-inclusive ${\Omega }_{3Q}$ plus jet production at the HL-LHC and future FCC within the (sym)JETHAD environment. The OMG3Q1.1 framework establishes a precision-oriented baseline for rare triply heavy baryons and provides a foundation for future studies of the heavy-flavor baryon landscape.

61 pages, 11 figures, 1 table, 298 references. Version published in Phys. Rev. D. Includes F-MHOU and F-NPWF uncertainty replicas, threshold-aware HF-NRevo DGLAP evolution, and LHAPDF release at https://github.com/FGCeliberto/Collinear_FFs