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Transverse Parton Distribution and Fragmentation Functions at NNLO: the Gluon Case

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arxiv 1909.13820 v1 pith:PCGWY3JL submitted 2019-09-30 hep-ph

Transverse Parton Distribution and Fragmentation Functions at NNLO: the Gluon Case

Ming-Xing Luo , Tong-Zhi Yang , Hua Xing Zhu , Yu Jiao Zhu This is my paper
classification hep-ph
keywords gluonfunctionslinearlypolarizedtmdffstmdpdfscalculatedistribution
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

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 ${\cal O}(\epsilon^2)$ in dimensional regulator (finding discrepancy for the linearly polarized gluon TMDPDFs with a previous result in the literature). We find a nontrivial momentum conservation sum rule for the linearly polarized component for both TMDPDFs and TMDFFs in the ${\cal N}=1$ 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.

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Forward citations

Cited by 6 Pith papers

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