Testing improved staggered fermions with $m_s$ and $B_K$

Details Testing improved staggered fermions with $m_s$ and $B_K$ Testing improved staggered fermions with $m_s$ and $B_K$

2004-09-13

arxiv.org/abs/hep-lat/0409047v3

Phys.Rev. D71 (2005) 094501

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages, 12 figure, referee's comments are incorporated

Scientific paper

10.1103/PhysRevD.71.094501

We study the improvement of staggered fermions using hypercubically smeared (HYP) links. We calculate the strange quark mass and the kaon B-parameter, $B_K$, in quenched QCD on a $16^3 \times 64$ lattice at $\beta=6.0$. We find $m_s(\bar{\rm MS},2 {\rm GeV})=101.2\pm1.3\pm4 $MeV and $B_K(\bar{\rm MS},2 {\rm GeV}) = 0.578 \pm 0.018\pm 0.042$, where the first error is from statistics and fitting, and the second from using one-loop matching factors. The scale ($1/a=1.95$GeV) is set by $M_\rho$, and $m_s$ is determined using the kaon mass. Comparing to quenched results obtained using unimproved staggered fermions and other discretizations, we argue that the size of discretization errors in $B_K$ is substantially reduced by improvement.

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