Abstract

We propose the inclusive semi-hard production, in proton-proton collisions, of two bottom-flavored hadrons, as well as of a single bottom-flavored hadron accompanied by a light jet, as novel channels for the manifestation of stabilization effects of the high-energy resummation under next-to-leading-order corrections. Our formalism relies on a hybrid high-energy and collinear factorization, where the BFKL resummation of leading and next-to-leading energy logarithms is used together with collinear factorization. We present results for cross sections and azimuthal correlations differential in rapidity, which are widely recognized as standard observables where to hunt for distinctive signals of the BFKL dynamics. We propose the study of double differential distributions in the transverse momenta of final-state particles as a common basis to investigate the interplay of different kinds of resummation mechanisms.

Highlights

  • We propose the inclusive semihard production, in proton-proton collisions, of two bottom-flavored hadrons, as well as that of a single bottom-flavored hadron accompanied by a light jet, as novel channels for the manifestation of stabilization effects of the high-energy resummation under next-to-leading-order corrections

  • A major issue emerging in phenomenological applications of the BFKL approach to semihard observables is the fact that next-to-leading logarithmic approximation (NLA) corrections both to the BFKL Green’s function and to impact factors turn out to be of the same size and with the opposite sign of pure leading logarithmic approximation (LLA) contributions

  • III C, we introduce a new observable—namely, the double differential pT distribution at fixed ΔY—that can serve as a common basis for prospective studies on the interplay of different kinds of resummation mechanisms

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Summary

INTRODUCTORY REMARKS

Heavy-flavor physics is unanimously recognized as one of the most fertile grounds for investigating modern particle physics. It combines massive (low-scale) and massless (high-scale) calculations, and the heavy-quark masses are used as parameters by which FFNS turns into VFNS Different implementations of this scheme have been proposed so far [11,12,13,14,15], and for a detailed discussion we refer the reader to Ref. [17,18], inclusive bottom-jet emissions in central-rapidity regions were investigated under the hypothesis of t-channel exchanges of gluon and quark Reggeons at high energies These studies were subsequently extended to bottomed bound states [19,20,21]. Way toward prospective studies where the use of our hybrid factorization could serve as an important tool to improve precision calculations of observables sensitive to bottomflavored bound-state emissions

INCLUSIVE b-HADRON PRODUCTION
Semihard phenomenology at a glance
High-energy resummed cross section
Perturbative and nonperturbative ingredients
BLM prescription on energy scales
RESULTS AND DISCUSSION
ΔY distribution
Azimuthal correlations
Double differential pT distribution
CONCLUSIONS AND OUTLOOK
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