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TMD Fragmentation Functions at N$^3$LO

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arxiv 2012.07853 v2 pith:6C7SJIHG submitted 2020-12-14 hep-ph nucl-th

Markus A. Ebert , Bernhard Mistlberger , Gherardo Vita This is my paper
classification hep-phnucl-th
keywords crosssectioncalculationcollinearfinal-statefragmentationfunctionslimit
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We compute the unpolarized quark and gluon transverse-momentum dependent fragmentation functions (TMDFFs) at next-to-next-to-next-to-leading order (N$^3$LO) 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 N$^3$LO 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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Cited by 5 Pith papers

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