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Non-perturbative renormalization of three-quark operators

2008/10/21 by M. Göckeler, R. Horsley, Thomas Kaltenbrunner +12 · 2 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.1016/j.nuclphysb.2008.12.015

published as Nucl.Phys.B812:205-242,2009 · 49 pages, 3 figures

arxiv created 2008/10/21 · openalex publication_date 2008/12/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

High luminosity accelerators have greatly increased the interest in semi-exclusive and exclusive reactions involving nucleons. The relevant theoretical information is contained in the nucleon wave function and can be parametrized by moments of the nucleon distribution amplitudes, which in turn are linked to matrix elements of local three-quark operators. These can be calculated from first principles in lattice QCD. Defining an RI-MOM renormalization scheme, we renormalize three-quark operators corresponding to low moments non-perturbatively and take special care of the operator mixing. After performing a scheme matching and a conversion of the renormalization scale we quote our final results in the MS ¯ scheme at μ = 2 GeV .

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