A complete non-perturbative renormalization prescription for quasi-PDFs
By C. Alexandrou, Krzysztof Cichy, M. Constantinou, K. Hadjiyiannakou, K. Jansen, H. Panagopoulos, F. Steffens. 2017
169 citations recorded by the source corpus.
Abstract In this work we present, for the first time, the non-perturbative renormalization for the unpolarized, helicity and transversity quasi-PDFs, in an RI′ scheme. The proposed prescription addresses simultaneously all aspects of renormalization: logarithmic divergences, finite renormalization as well as the linear divergence which is present in the matrix elements of fermion operators with Wilson lines. Furthermore, for the case of the unpolarized quasi-PDF, we describe how to eliminate the unwanted mixing with the twist-3 scalar operator. We utilize perturbation theory for the one-loop conversion factor that brings the renormalization functions to the MS ‾ -scheme at a scale of 2 GeV. We also explain how to improve the estimates on the renormalization functions by eliminating lattice artifacts. The latter can be computed in one-loop perturbation theory and to all orders in the lattice spacing. We apply the methodology for the renormalization to an ensemble of twisted mass fermions with N f = 2 + 1 + 1 dynamical quarks, and a pion mass of around 375 MeV.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/92e78c2b7a6f2259e7c12aeb9103921e94c12445
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In Nuclear and High Energy Physics
- M. Constantinou
- Atlas Collaboration
- Krzysztof Cichy
- Juan Rojo
- Pavel M. Nadolsky
- E. Nocera
- A. Radyushkin
- C. Yuan
Citations in the corpus
- Parton distributions and lattice-QCD calculations: Toward 3D structure (2020, background): “…of the renormalization pattern on the lattice (Chen et al., 2019a; Constantinou and Panagopoulos, 2017), as well as the development of a complete nonperturbative renormalization procedure (Alexandrou et al., 2017a; Chen et al., 2018a) that removes all divergences of nonlocal operators.”
- A Guide to Light-Cone PDFs from Lattice QCD: An Overview of Approaches, Techniques, and Results (2018, methodology): “[156], the fit was performed in the range (a μ̄0) 2 [1.”