Journal Article

PUBDB-2024-06422

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Transverse momentum-dependent heavy-quark fragmentation at next-to-leading order

Kuk, R. O. v.DESY* ; Michel, J. K. L. (Corresponding author)DESY* ; Sun, Z.

2024
SISSA [Trieste]

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Please use a persistent id in citations: doi:10.1007/JHEP07(2024)129  doi:10.3204/PUBDB-2024-06422

Report No.: DESY-23-174; MIT-CTP 5643; Nikhef 2023-018; arXiv:2404.08622

Abstract: The transverse momentum-dependent fragmentation functions (TMD FFs) of heavy (bottom and charm) quarks, which we recently introduced, are universal building blocks that enter predictions for a large number of observables involving final-state heavy quarks or hadrons. They enable the extension of fixed-order subtraction schemes to quasi-collinear limits, and are of particular interest in their own right as probes of the nonperturbative dynamics of hadronization. In this paper we calculate all TMD FFs involving heavy quarks and the associated TMD matrix element in heavy-quark effective theory (HQET) to next-to-leading order in the strong interaction. Our results confirm the renormalization properties, large-mass, and small-mass consistency relations predicted in our earlier work. We also derive and confirm a prediction for the large-z behavior of the heavy-quark TMD FF by extending, for the first time, the formalism of joint resummation to capture quark mass effects in heavy-quark fragmentation. Our final results in position space agree with those of a recent calculation by another group that used a highly orthogonal organization of singularities in the intermediate momentum-space steps, providing a strong independent cross check. As an immediate application, we present the complete quark mass dependence of the energy-energy correlator (EEC) in the back-to-back limit at $ \mathcal{O}\left({\alpha}_s\right) $.

Keyword(s): higher-order: 1 ; heavy quark: fragmentation ; mass: effect ; heavy quark: final state ; quark: mass dependence ; quark: mass ; transverse momentum dependence ; strong interaction ; renormalization ; energy: correlation function ; fragmentation function ; resummation ; charm ; nonperturbative ; Heavy Quark Effective Theory ; hadronization ; Effective Field Theories of QCD ; Factorization ; Renormalization Group ; Parton Distributions ; Resummation

Note: 34 pages + appendices and references, 5 figures; v2: corrected secondary mass effects in Sec. 6

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. COLORFREE - High-Precision Global Analysis of Color-Free LHC Processes at Small Recoil (101002090) (101002090)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2024

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Database coverage:
; ; ; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; Ebsco Academic Search ; Essential Science Indicators ; IF >= 5 ; JCR ; National-Konsortium ; SCOAP3 sponsored Journal ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Kuk, R. O. v. (Corresponding author)DESY* ; Michel, J. K. L. ; Sun, Z.
Transverse Momentum-Dependent Heavy-Quark Fragmentation at Next-to-Leading Order
[10.3204/PUBDB-2023-06533]     Files  Fulltext Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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