Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2006-03-27
Phys.Rev.D73:114502,2006
Physics
High Energy Physics
High Energy Physics - Lattice
15 pages, 6 figures
Scientific paper
10.1103/PhysRevD.73.114502
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(\alpha_s^2). The matching will need to be improved to get the precision needed to make full use of the experimental data on \epsilon_K to constrain the unitarity triangle.
Collins Sara
Davies Christine. T. H.
Gamiz Elvira
Lepage Peter G.
Shigemitsu Junko
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