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TMD fragmentation functions at N3LO
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13130_2021_Article_16278.pdf
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757.13 KB
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Author(s)
Ebert, Markus A.
Mistlberger, Bernhard
Vita, Gherardo
Date Issued
July 19, 2021
Publisher
Springer Berlin Heidelberg
Citation
Journal of High Energy Physics. 2021 Jul 19;2021(7):121
Version
Final published version
Abstract
Abstract
We compute the unpolarized quark and gluon transverse-momentum dependent fragmentation functions (TMDFFs) at next-to-next-to-next-to-leading order (N3LO) in perturbative QCD. The calculation is based on a relation between the TMDFF and the limit of the semi-inclusive deep inelastic scattering cross section where all final-state radiation becomes collinear to the detected hadron. The required cross section is obtained by analytically continuing our recent computation of the Drell-Yan and Higgs boson production cross section at N3LO expanded around the limit of all final-state radiation becoming collinear to one of the initial states. Our results agree with a recent independent calculation by Luo et al.
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DOI of Published Version
https://doi.org/10.1007/JHEP07(2021)121
