First results for $B_K$ on the ultrafine ($a=0.045$ fm) ensemble

Details First results for $B_K$ on the ultrafine ($a=0.045$ fm) ensemble First results for $B_K$ on the ultrafine ($a=0.045$ fm) ensemble

2010-10-22

arxiv.org/abs/1010.4781v2

PoS Lattice2010:296,2010

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 9 figures, Lattice 2010 Proceeding, references updated

Scientific paper

We present preliminary results for $B_K$ from the MILC ultrafine lattices, based on a partial ensemble of 305 configurations. We use HYP-smeared improved staggered valence quarks. The analysis is done using fitting forms based on both SU(2) and SU(3) staggered chiral perturbation thery. For the SU(2) analysis, we find that the result using the NLO fit function is consistent with that from a partial NNLO fit. For the SU(3) analysis, where we have to use partially constrained fits due to the number of fit parameters, we find that our two preferred fits ("N-BB1" and "N-BB2") are also consistent, both with each other and with the results of the SU(2) fits. These results are used in companion proceedings to improve the control over the continuum extrapolation.

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