TMD fragmentation functions at N3LO
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13130_2021_Article_16278.pdf
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Author(s)
Ebert, Markus A
Mistlberger, Bernhard
Vita, Gherardo
Date Issued
July 19, 2021
Journal
Journal of High Energy Physics
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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/JHEP07(2021)121
