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BK with two flavors of dynamical overlap fermions

Collaboration
•
Jan, 2008
36 pages
Published in:
  • Phys.Rev.D 77 (2008) 094503
e-Print:
DOI:
Report number:
  • KEK-CP-205,
  • UTHEP-555,
  • YITP-07-85
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Abstract: (arXiv)
We present a two-flavor QCD calculation of BKB_K on a 163×3216^3 \times 32 lattice at a∼0.12a\sim 0.12 fm (or equivalently a−1∼a^{-1}\sim1.67 GeV). Both valence and sea quarks are described by the overlap fermion formulation. The matching factor is calculated non-perturbatively with the so-called RI/MOM scheme. We find that the lattice data are well described by the next-to-leading order (NLO) partially quenched chiral perturbation theory (PQChPT) up to around a half of the strange quark mass (msphys/2m_s^{\rm phys}/2). The data at quark masses heavier than msphys/2m_s^{\rm phys}/2 are fitted including a part of next-to-next-to-leading order terms. We obtain BKMSˉ(2GeV)=0.537(4)(40)B_K^{\bar{\rm MS}}(2 {\rm GeV})= 0.537(4)(40), where the first error is statistical and the second is an estimate of systematic uncertainties from finite volume, fixing topology, the matching factor, and the scale setting.
Note:
  • 36 pages, 14 figures, comments and references added, analysis and systematic error revised, minor change in the final result. version to appear in PRD, reference corrected
  • 12.38.Gc
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