Matrix Elements without Quark Masses on the Lattice

Details Matrix Elements without Quark Masses on the Lattice Matrix Elements without Quark Masses on the Lattice

1999-09-07

arxiv.org/abs/hep-lat/9909041v1

Nucl.Phys.Proc.Suppl. 83 (2000) 238-240

Physics

High Energy Physics

High Energy Physics - Lattice

LATTICE99(Matrix Elements), 3 pages, 1 figure, BUHEP-99-21

Scientific paper

We introduce a new parameterization of four-fermion matrix elements which does not involve quark masses and thus allows a reduction of systematic uncertainties in physical amplitudes. As a result the apparent quadratic dependence of e'/e on m_s is removed. 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 DeltaI=3/2 and SUSY DeltaF=2 ($F=S,C,B$) four-fermion operators have been computed.

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