Perturbative matching of the staggered four-fermion operators for {epsilon}'/{epsilon}
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. In particular, we concentrate on Feynman diagrams of the current-current insertion type. We also present results for the tadpole improved operators. These results, combined with existing results for penguin diagrams, provide a complete one-loop renormalization of the staggered four-fermion operators. Therefore, using our results, it is possible to match a lattice calculation of K{sup 0}-{bar K}{sup 0} mixing and K{yields}{pi}{pi} decays to the continuum NDR results with all corrections of O(g{sup 2}) included.
- Sponsoring Organization:
- (US)
- DOE Contract Number:
- KA-04-01010-E161
- OSTI ID:
- 40277265
- Journal Information:
- Physical Review D, Vol. 64, Issue 5; Other Information: DOI: 10.1103/PhysRevD.64.054505; Othernumber: PRVDAQ000064000005054505000001; 050117PRD; PBD: 1 Sep 2001; ISSN 0556-2821
- Publisher:
- The American Physical Society
- Country of Publication:
- United States
- Language:
- English
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