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Title: 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 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.

Authors:
ORCiD logo [1];  [2];  [3]
+ Show Author Affiliations
  1. Max-Planck-Institut für Physik, München (Germany); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  2. SLAC National Accelerator Lab., Menlo Park, CA (United States)
  3. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Office of Science (SC), Nuclear Physics (NP); Alexander von Humboldt Foundation
OSTI Identifier:
1819723
Grant/Contract Number:  
AC02-76SF00515; SC0011090
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2021; Journal Issue: 7; Journal ID: ISSN 1029-8479
Publisher:
Springer Nature
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Deep Inelastic Scattering (Phenomenology); QCD Phenomenology

Citation Formats

Ebert, Markus A., Mistlberger, Bernhard, and Vita, Gherardo. TMD fragmentation functions at N3LO. United States: N. p., 2021. Web. doi:10.1007/jhep07(2021)121.
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Ebert, Markus A., Mistlberger, Bernhard, & Vita, Gherardo. TMD fragmentation functions at N3LO. United States. https://doi.org/10.1007/jhep07(2021)121
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Ebert, Markus A., Mistlberger, Bernhard, and Vita, Gherardo. Mon . "TMD fragmentation functions at N3LO". United States. https://doi.org/10.1007/jhep07(2021)121. https://www.osti.gov/servlets/purl/1819723.
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@article{osti_1819723,
title = {TMD fragmentation functions at N3LO},
author = {Ebert, Markus A. and Mistlberger, Bernhard and Vita, Gherardo},
abstractNote = {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.},
doi = {10.1007/jhep07(2021)121},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2021,
place = {United States},
year = {2021},
month = {7}
}
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https://doi.org/10.1007/jhep07(2021)121
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  • Echevarria, Miguel G.; Scimemi, Ignazio; Vladimirov, Alexey
  • Universität Regensburg
  • DOI: 10.5283/epub.37200
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