2003/09/08 by Thomas DeGrand · 49 citations
Mathematics · Physics and Astronomy · #Extrapolation #Gauge theory #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Lattice field theory #Lattice gauge theory #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Quenched approximation #hep-lat
paper · pdf · doi:10.1103/physrevd.69.014504
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 69(1) (American Physical Society) · 23 pages, Revtex, 16 postscript figures
arxiv created 2003/09/08 · openalex publication_date 2004/01/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
I calculate the kaon B parameter BK, defined via 8(mKfK)2BK/3=〈K|s\ensuremathγ_\ensuremathμ(1\ensuremath-\ensuremathγ5)ds\ensuremathγ_\ensuremathμ(1\ensuremath-\ensuremathγ5)d|K〉, with a lattice simulation in the quenched approximation. The lattice simulation uses an action possessing exact lattice chiral symmetry, an overlap action. Computations are performed at two lattice spacings, about 0.13 and 0.09 fm (parametrized by Wilson gauge action couplings \ensuremathβ=5.9 and 6.1) with nearly the same physical volumes and quark masses. I describe particular potential difficulties which arise due to the use of such a lattice action in finite volume. The continuum-extrapolated result for quenched BKNDR(\ensuremathμ=2GeV)=0.55(7) where the uncertainty includes statistics, extrapolation, and an estimate of uncertainty from the choice of matching factor and strange quark mass.