Perturbative Matching of the staggered four-fermion operators for e'/e

Details Perturbative Matching of the staggered four-fermion operators for e'/e Perturbative Matching of the staggered four-fermion operators for e'/e

2001-06-12

arxiv.org/abs/hep-lat/0106005v1

Phys.Rev. D64 (2001) 054505

Physics

High Energy Physics

High Energy Physics - Lattice

36 pages. will appear in physical review D

Scientific paper

10.1103/PhysRevD.64.054505

Using staggered fermions, we calculate the perturbative corrections to the bilinear and four-fermion operators that are used in the numerical study of weak matrix elements for $\epsilon'/\epsilon$. We present results for one-loop matching coefficients between continuum operators, calculated in the Naive Dimensional Regularization (NDR) scheme, and gauge invariant staggered fermion operators. These results, combined with existing results for penguin diagrams, provide the complete one-loop renormalization of the staggered four-fermion operators.

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