Non-perturbative renormalization of three-quark operators
M. G\"ockeler, R. Horsley, T. Kaltenbrunner, Y. Nakamura, D. Pleiter,, P.E.L. Rakow, A. Sch\"afer, G. Schierholz, H. St\"uben, N. Warkentin, J.M., Zanotti
TL;DR
This paper develops a non-perturbative renormalization method for three-quark operators in lattice QCD, enabling precise calculations of nucleon structure relevant for high-energy physics experiments.
Contribution
It introduces an RI-MOM scheme for non-perturbative renormalization of three-quark operators, addressing operator mixing and providing results in the MSbar scheme at 2 GeV.
Findings
Successfully renormalized three-quark operators non-perturbatively
Performed scheme matching and scale conversion
Provided results in the MSbar scheme at mu=2 GeV
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.
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