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Perturbative Corrections for Staggered Four-Fermion Operators | | Stephen Sharpe
; Apoorva Patel
; | | Date: |
5 Oct 1993 | | Journal: | Nucl. Phys. B417 (1994) 307 | | Subject: | hep-lat | | Abstract: | We present results for one-loop matching coefficients between continuum four-fermion operators, defined in the Naive Dimensional Regularization scheme, and staggered fermion operators of various types. We calculate diagrams involving gluon exchange between quark lines, and ``penguin’’ diagrams containing quark loops. For the former we use Landau gauge operators, with and without $O(a)$ improvement, and including the tadpole improvement suggested by Lepage and Mackenzie.For the latter we use gauge-invariant operators. Combined with existing results for two-loop anomalous dimension matrices and one-loop matching coefficients, our results allow a lattice calculation of the amplitudes for $Kar K$ mixing and $K opipi$ decays with all corrections of $O(g^2)$ included. We also discuss the mixing of $Delta S=1$ operators with lower dimension operators, and show that, with staggered fermions, only a single lower dimension operator need be removed by non-perturbative subtraction. | | Source: | arXiv, hep-lat/9310004 | | Services: | Forum | Review | PDF | Favorites | |
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