Transverse momentum-dependent heavy-quark fragmentation at next-to-leading order
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13130_2024_Article_23966.pdf
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Author(s)
von Kuk, Rebecca
Michel, Johannes K. L.
Sun, Zhiquan
Date Issued
July 12, 2024
Journal
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Citation
von Kuk, R., Michel, J.K.L. & Sun, Z. Transverse momentum-dependent heavy-quark fragmentation at next-to-leading order. J. High Energ. Phys. 2024, 129 (2024).
Version
Final published version
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 (𝛼𝑠).
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1007/jhep07(2024)129
