TMD fragmentation functions at N3LO

Markus Ebert (Max-Planck-Institut für Physik, Föhringer Ring 6, München, 80805, Germany; Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts, 02139, USA) ; Bernhard Mistlberger (SLAC National Accelerator Laboratory, Stanford University, Stanford, CA, 94039, USA) ; Gherardo Vita (Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts, 02139, USA; SLAC National Accelerator Laboratory, Stanford University, Stanford, CA, 94039, USA)

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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      "value": "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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Published on:
19 July 2021
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2021 (2021)
Issue 7
Pages 1-33
DOI:
https://doi.org/10.1007/JHEP07(2021)121
arXiv:
2012.07853
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

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