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We study the inclusive production of hadrons with bottom flavor at the LHCand its luminosity upgrade. We describe the collinear fragmentation of singly$b$-flavored hadrons, $B$ mesons and $\Lambda_b$ baryons, via the KKSS07determination of fragmentation functions, while for charmed $B$ mesons,$B_c(^1S_0)$ and $B_c(^3S_1)$ particles, we employ the novel ZCFW22 set, builton the basis of state-of-the-art nonrelativistic QCD inputs. We use the JETHADmultimodular working environment to analyze rapidity and transverse-momentumdistributions for observables sensitive to the associated emission of twohadrons or a hadron-plus-jet system. Our reference formalism is the NLL/NLO$^+$hybrid collinear and high-energy factorization, where the standard collineardescription is improved by the inclusions of energy logarithms resummed up tothe next-to-leading approximation and beyond. We provide a corroboratingevidence that $b$-flavor emissions act as fair stabilizers of the high-energyresummation, thus serving as valuable tools for precision studies ofhigh-energy QCD. As a bonus, we highlight that the predicted production-ratehierarchy between noncharmed $b$-hadrons and charmed $B_c(^1S_0)$ mesons is inline with recent LHCb estimates. This serves as simultaneous benchmark both forthe hybrid factorization and the single-parton fragmentation mechanism from thenonrelativistic QCD effective theory.

High-energy QCD dynamics from bottom flavor fragmentation at the Hi-Lumi LHC