[Submitted on 14 Dec 2020] (cross-list from hep-ph)
TMD Fragmentation Functions at NLO
Markus A. Ebert🇩🇪 · Bernhard Mistlberger🇺🇸 · Gherardo Vita🇺🇸
We compute the unpolarized quark and gluon transverse-momentum dependent fragmentation functions (TMDFFs) at next-to-next-to-next-to-leading order (NLO) 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 NLO 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.
- Comments:
- 20 pages + appendices, 3 figures, 6 ancillary files; v2: journal version
- Subjects:
- High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
- arXiv:
- 2012.07853 [pdf]