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Unquenched determination of the kaon parameter B_K from improved staggered fermions

E. Gamiz·S. Collins·C. T. H. Davies·G. P. Lepage·J. Shigemitsu·M. Wingate
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Abstract

The use of improved staggered actions (HYP, Asqtad) has been proved to reduce the scaling corrections that affected previous calculations of B_K with unimproved (standard) staggered fermions in the quenched approximation. This improved behaviour allows us to perform a reliable calculation of B_K including quark vacuum polarization effects, using the MILC configurations with n_f=2+1 flavours of sea fermions. We perform such a calculation for a single lattice spacing, a=0.125 fm, and with kaons made up of degenerate quarks with m_s/2. The valence strange quark mass m_s is fixed to its physical value and we use two different values of the light sea quark masses. After a chiral extrapolation of the results to the physical value of the sea quark masses, we find \hat B_K = 0.83+-0.18, where the error is dominated by the uncertainty in the lattice to continuum matching at O(α_s^2). The matching will need to be improved to get the precision needed to make full use of the experimental data on ε_K to constrain the unitarity triangle.

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E. Gamiz, S. Collins, C. T. H. Davies, G. P. Lepage, J. Shigemitsu, M. Wingate. 2006-03-27. Unquenched determination of the kaon parameter B_K from improved staggered fermions. https://doi.org/10.1103/physrevd.73.114502

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