Renormalization Group Invariant Matrix Elements of DS = 2 and DI = 3/2 Four-Fermion Operators without Quark Masses

Details Renormalization Group Invariant Matrix Elements of DS = 2 and DI = 3/2 Four-Fermion Operators without Quark Masses Renormalization Group Invariant Matrix Elements of DS = 2 and DI = 3/2 Four-Fermion Operators without Quark Masses

1999-10-06

arxiv.org/abs/hep-lat/9910017v1

Phys.Lett. B470 (1999) 233-242

Physics

High Energy Physics

High Energy Physics - Lattice

LATEX, 17 pages, 1 figure included

Scientific paper

10.1016/S0370-2693(99)01300-3

We introduce a new parameterization of four-fermion operator matrix elements which does not involve quark masses and thus allows a reduction of systematic uncertainties. In order to simplify the matching between lattice and continuum renormalization schemes, we express our results in terms of renormalization group invariant B-parameters which are renormalization-scheme and scale independent. As an application of our proposal, matrix elements of DI=3/2 and SUSY DS =2 operators have been computed. The calculations have been performed using the tree-level improved Clover lattice action at two different values of the strong coupling constant (beta=6/g^2=6.0 and 6.2), in the quenched approximation. Renormalization constants and mixing coefficients of lattice operators have been obtained non-perturbatively. Using lowest order ChiPT, we also obtain ^{NDR}_{I=2} = (0.11\pm 0.02) GeV^4 and ^{NDR}_{I=2} = (0.51\pm 0.05) GeV^4 at mu=2 GeV.

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