Fully Heavy Pentaquarks with Jethad: A High-Energy Viewpoint

We examine the leading-power fragmentation of fully heavy pentaquarks in high-energy hadronic collisions. To this end, we complete the release of the hadron structure-oriented PQ5Q1.0 fragmentation functions by discussing the $P_{5c}$ set and delivering the $P_{5b}$ one. These functions incorporate an improved computation of the initial-scale input for the constituent heavy-quark fragmentation channel, making them particularly suitable for describing both the direct formation of a compact multicharm state and the hadronization from a diquark–antiquark–diquark configuration. For phenomenological applications, we employ the data-validated (sym)Jethad framework to compute and analyze NLL/NLO⁺ semi-inclusive production rates of pentaquark-plus-jet systems at the upcoming HL-LHC and the future FCC. This study marks a further step toward connecting hadronic structure, precision QCD, and the emerging physics of exotic matter.