Recent progress in calculating weak matrix elements using staggered fermions

Details Recent progress in calculating weak matrix elements using staggered fermions Recent progress in calculating weak matrix elements using staggered fermions

2003-10-18

arxiv.org/abs/hep-lat/0310047v1

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 7 figures, LHP2003

Scientific paper

10.1016/S0920-5632(03)02468-X

We present a chronological review of the progress in calculating weak matrix elements using staggered fermions. We review the perturbative calculation of one-loop matching formula including both current-current diagrams and penguin diagrams using improved staggered fermions. We also present preliminary results of weak matrix elements relevant to CP violation calculated using the improved (HYP (II)) staggered fermions. Since the complete set of matching coefficients at the one-loop level became available recently, we have constructed lattice operators with all the $g^2$ corrections included. The main results include both $\Delta I = 3/2$ and $\Delta I = 1/2$ contributions.

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