One-loop matching of improved four-fermion staggered operators with an improved gluon action

Details One-loop matching of improved four-fermion staggered operators with an improved gluon action One-loop matching of improved four-fermion staggered operators with an improved gluon action

2011-02-09

arxiv.org/abs/1102.1774v2

Phys.Rev.D83:094503,2011

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages, 16 figures, references are updated

Scientific paper

10.1103/PhysRevD.83.094503

We present results for one-loop matching factors of four-fermion operators composed of HYP-smeared staggered fermions. We generalize previous calculations by using the tree-level improved Symanzik gauge action. These results are needed for our companion numerical calculation of $B_K$ and related matrix elements. We find that the impact on one-loop matching factors of using the improved gluon action is much smaller than that from the use of either HYP smearing or mean-field improvement. The one-loop coefficients for mean-field improved, HYP-smeared operators with the Symanzik gauge action have a maximum magnitude of $O(1)\times \alpha_s$, indicating that perturbation theory is reasonably convergent.

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