Accessing Gluon Parton Distributions in Large Momentum Effective Theory
Abstract
Gluon parton distribution functions (PDFs) in the proton can be calculated directly on Euclidean lattices using large momentum effective theory (LaMET). To realize this goal, one has to find renormalized gluon quasi-PDFs in which power divergences and operator mixing are thoroughly understood. For the unpolarized distribution, we identify four independent quasi-PDF correlators that can be multiplicatively renormalized on the lattice. Similarly, the helicity distribution can be derived from three independent multiplicatively renormalizable quasi-PDFs. We provide a LaMET factorization formula for these renormalized quasi-PDFs from which one can extract the gluon PDFs.
- Publication:
-
Physical Review Letters
- Pub Date:
- April 2019
- DOI:
- 10.1103/PhysRevLett.122.142001
- arXiv:
- arXiv:1808.10824
- Bibcode:
- 2019PhRvL.122n2001Z
- Keywords:
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- High Energy Physics - Phenomenology;
- High Energy Physics - Experiment;
- High Energy Physics - Lattice;
- Nuclear Experiment;
- Nuclear Theory
- E-Print:
- 5 pages, version accepted by Phys. Rev. Lett