On the Renormalizability of Quasi Parton Distribution Functions
arXiv:1707.03107 · doi:10.1103/PhysRevD.96.094019
Abstract
Quasi-parton distribution functions have received a lot of attentions in both perturbative QCD and lattice QCD communities in recent years because they not only carry good information on the parton distribution functions, but also could be evaluated by lattice QCD simulations. However, unlike the parton distribution functions, the quasi-parton distribution functions have perturbative ultraviolet power divergences because they are not defined by twist-2 operators. In this paper, we identify all sources of ultraviolet divergences for the quasi-parton distribution functions in coordinate-space, and demonstrate that power divergences, as well as all logarithmic divergences can be renormalized multiplicatively to all orders in QCD perturbation theory.
11 pages, 9 figures, version accepted by PRD
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Cited by in corpus (8)
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- Parton Distribution Function with Non-perturbative Renormalization from Lattice QCD
- Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point
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- Quasi parton distribution functions at NNLO: flavor non-diagonal quark contributions