TMD fragmentation functions at N3LO

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...

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Bibliográfalaš dieđut
Váldodahkkit: Ebert, Markus A., Mistlberger, Bernhard, Vita, Gherardo
Materiálatiipa: Artihkal
Giella:English
Almmustuhtton: Springer Berlin Heidelberg 2021
Liŋkkat:https://hdl.handle.net/1721.1/136912
Govvádus
Čoahkkáigeassu: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.