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TMD fragmentation functions at N3LO

Author(s)
Ebert, Markus A.; Mistlberger, Bernhard; Vita, Gherardo
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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.
Date issued
2021-07-19
URI
https://hdl.handle.net/1721.1/136912
Publisher
Springer Berlin Heidelberg
Citation
Journal of High Energy Physics. 2021 Jul 19;2021(7):121
Version: Final published version
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21721.1/136912.22021-12-17T20:00:21ZAuthority information verified/added
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