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Counting linearly polarized gluons with lattice QCD

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arxiv 2212.00825 v2 pith:LEW6PN3Y submitted 2022-12-01 hep-ph hep-lat

Counting linearly polarized gluons with lattice QCD

classification hep-ph hep-lat
keywords latticelinearlypolarizedgluonshadrondistributionachieveapproach
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We outline an approach to calculate the transverse-momentum-dependent distribution of linearly polarized gluons inside an unpolarized hadron on the lattice with the help of large momentum effective theory. To achieve this purpose, we propose calculating a Euclidean version of the degree of polarization for a fast-moving hadron on the lattice, which is ultraviolet finite, and no soft function subtraction is needed. It indicates a practical way to explore the distribution of the linearly polarized gluons in a proton and the linearly polarized gluon effects in hadron collisions on the lattice.

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