$B_K$ in unquenched QCD using improved staggered fermions

Details $B_K$ in unquenched QCD using improved staggered fermions $B_K$ in unquenched QCD using improved staggered fermions

2006-10-09

arxiv.org/abs/hep-lat/0610057v3

PoSLAT2006:086,2006

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 2 figures, Lattice 2006 conference proceeding, updated references, typos fixed

Scientific paper

We present preliminary results for $B_K$ calculated using improved staggered fermions with a mixed action (HYP-smeared staggered valence quarks and AsqTad staggered sea quarks). We investigate the effect of non-degenerate quarks on $B_K$ and attempt to estimate the ${\cal O}(a^2)$ effect due to non-Goldstone pions in loops. We fit the data to continuum partially quenched chiral perturbation theory. We find that the quality of fit for $B_K$ improves if we include non-degenerate quark mass combinations. We also observe, however, that the fitting curve deviates from the data points in the light quark mass region. This may indicate the need to include taste-breaking in pion loops.

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