6533b863fe1ef96bd12c7920
RESEARCH PRODUCT
Renormalization group invariant matrix elements of Delta S = 2 and Delta I = 3/2 four fermion operators without quark masses
G. MartinelliLeonardo GiustiAndrea DoniniV. Gimenezsubject
QuarkNuclear and High Energy PhysicsHigh Energy Physics::LatticeSTANDARD MODELFOS: Physical sciencesWILSON FERMIONSQuenched approximationPartícules (Física nuclear)kaon decays gauge theory latticeLATTICE QCDRenormalizationHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - LatticeKAON B-PARAMETERLattice (order)Mathematical physicsPhysicsHigh Energy Physics - Lattice (hep-lat)FísicaFermionSupersymmetryInvariant (physics)Renormalization groupFIS/02 - FISICA TEORICA MODELLI E METODI MATEMATICIHigh Energy Physics - PhenomenologyHigh Energy Physics::Experimentdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-10-06 |