Abstract
Fragmentation of heavy quarks into heavy-flavoured hadrons receives both perturbative and non-perturbative contributions. We consider perturbative QCD corrections to heavy quark production in e+e− collisions to next-to-next-to-leading order accuracy in QCD with next-to-next-to-leading-logarithmic resummation of quasi-collinear and soft emissions. We study multiple matching schemes, and multiple regularisations of the soft resummation, and observe a significant dependence of the perturbative results on these ingredients, suggesting that NNLO+NNLL perturbative accuracy may not lead to real gains unless the interface with non-perturbative physics is properly analysed. We confirm previous evidence that D*+ experimental data from CLEO/BELLE and from LEP are not reconcilable with perturbative predictions employing standard DGLAP evolution. We extract non-perturbative contributions from e+e− experimental data for both D and B meson fragmentation. Such contributions can be used to predict heavy-quark fragmentation in other processes, e.g. DIS and proton-proton collisions.
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Acknowledgments
We would like to thank Emanuele Bagnaschi, Gennaro Corcella, Thomas Gehrmann, Simone Marzani and Sven Moch for useful discussions during the course of this work. We are indebted to Sven Moch and Daniel De Florian for providing us with the Form and Fortran implementations of the NNLO contribution to the e+e− coefficient functions, and to Fabio Maltoni, Giovanni Ridolfi, Maria Ubiali and Marco Zaro for providing us with the Fortran implementation of the Mellin transforms of the initial conditions, and for discussions and comparisons with our results. Discussions with Valerio Bertone on the usage of MELA are also gratefully acknowledged. We also thank the anonymous referee for many detailed and useful comments. LB’s work has received funding from the Swiss National Science Foundation (SNF) under contract 200020-204200. The work of GS is partially supported by MIUR through the FARE grant R18ZRBEAFC.
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Bonino, L., Cacciari, M. & Stagnitto, G. Heavy quark fragmentation in e+e− collisions to NNLO+NNLL accuracy in perturbative QCD. J. High Energ. Phys. 2024, 40 (2024). https://doi.org/10.1007/JHEP06(2024)040
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DOI: https://doi.org/10.1007/JHEP06(2024)040