Transverse parton distribution and fragmentation functions at NNLO: the gluon case

A bstract We calculate in this paper the perturbative gluon transverse momentum dependent parton distribution functions (TMDPDFs) and fragmentation functions (TMDFFs) using the exponential regulator for rapidity divergences. We obtain results for both unpolarized and linearly polarized distributions...

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Published inThe journal of high energy physics Vol. 2020; no. 1; pp. 40 - 32
Main Authors Luo, Ming-Xing, Yang, Tong-Zhi, Zhu, Hua Xing, Zhu, Yu Jiao
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2020
Springer Nature B.V
SpringerOpen
Subjects
Distribution functions
Divergence
Effective Field Theories
Fragmentation
Gluons
High energy physics
Linear polarization
Mathematical analysis
Partons
Perturbative QCD
Quarks
Regular Article - Theoretical Physics
Resummation
Sum rules
Transverse momentum
Yang-Mills theory
Effective Field Theories
Resummation
Perturbative QCD
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Summary:A bstract We calculate in this paper the perturbative gluon transverse momentum dependent parton distribution functions (TMDPDFs) and fragmentation functions (TMDFFs) using the exponential regulator for rapidity divergences. We obtain results for both unpolarized and linearly polarized distributions through next-to-next-to leading order in strong coupling constant, and through O ( ϵ 2 ) in dimensional regulator. We find a nontrivial momentum conservation sum rule for the linearly polarized component for both TMDPDFs and TMDFFs in the N = 1 super-Yang-Mills theory. The TMDFFs are used to calculate the two-loop gluon jet function for the energy-energy correlator in Higgs gluonic decay in the back-to-back limit.
Bibliography:ObjectType-Article-1
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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP01(2020)040