The Kaon Bparameter from TwoFlavour Dynamical Domain Wall Fermions.pdfVIP

The Kaon B-parameter from Two-Flavour Dynamical Domain Wall 4 Fermions. 0 0 a ∗ 2 C. Dawson [RBC Collaboration] t aRIKEN-BNL Research Center,Bldg 510a, Upton, NY 11973-5000 c O We report on the calculation of the kaon B-parameter using two dynamical flavours of domain wall fermions. 6 Our analysis is based on three ensembles of configurations, each consisting of about 5,000 HMC trajectories, with 2 a lattice spacing of approximately 1.7 GeV for 163 ×32 lattices; dynamical quark masses range from approximately the strange quark mass to half of that. Both degenerate and non-degenerate quark masses are used for the kaons. 1 v 4 4 1. INTRODUCTION trajectories between each configuration. The bare 0 quark masses of these ensembles are 0.02, 0.03 0 The kaon B-parameter, BK , is one of the sim- and 0.04 respectively, the latter of which roughly 1 plest quantities that may be calculated on the corresponds to the strange quark mass. Details 4 lattice which may be used to directly constrain of lattice generation, and further physical results 0 / the unitarity triangle. However, its calculation can be found in [2,3,4]; here we will touch on only t on the lattice is greatly complicated when either a couple quantities of relevance to the extraction a l- flavour or chiral symmetry is broken by the lat- of the kaon B-parameter: the residual mass and p tice action used. When using the domain wall the lattice spacing. All quantities are quoted with e fermion lattice action, flavour symmetry is ex- a jackknife error (although, whe