Non-perturbative renormalization of three-quark operators

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 wavefunction 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 MSbar scheme at mu=2 GeV.

49 pages, 3 figures

References in corpus (11)

• The Chroma Software System for Lattice QCD
• A General Method for Non-Perturbative Renormalization of Lattice Operators
• Renormalization and Running of Quark Mass and Field in the Regularization Invariant and MS-bar Schemes at Three and Four Loops
• Nucleon Form Factors in QCD
• Nonperturbative Renormalisation of Composite Operators in Lattice QCD
• A Determination of the Lambda Parameter from Full Lattice QCD
• Proton decay matrix elements with domain-wall fermions
• Nucleon distribution amplitudes from lattice QCD
• Three-loop Three-Linear Vertices and Four-Loop MOM beta functions in massless QCD
• Discretisation Errors in Landau Gauge on the Lattice
• Irreducible Multiplets of Three-Quark Operators on the Lattice: Controlling Mixing under Renormalization

Cited by in corpus (12)

• Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction
• Hadron structure from lattice quantum chromodynamics
• Diquark Correlations in Hadron Physics: Origin, Impact and Evidence
• Light-cone distribution amplitudes of octet baryons from lattice QCD
• Nucleon distribution amplitudes and proton decay matrix elements on the lattice
• Light-cone Distribution Amplitudes of the Nucleon and Negative Parity Nucleon Resonances from Lattice QCD
• Perturbative Renormalization of Neutron-Antineutron Operators
• Three loop renormalization of 3-quark operators in QCD
• Improved Semileptonic Form Factor Calculations in Lattice QCD
• Mixing of S-Wave Charmonia with $\mathrm{D}\overline{\mathrm{D}}$ Molecule States
• Non-perturbative renormalization in lattice QCD
• Nucleon and $N^{\ast }(1535)$ Distribution Amplitudes