Re A₀ and Re A₂ from Quenched Lattice QCD

2001/10/16 by Calin R. Cristian, RBC Collaboration
Physics and Astronomy · #hep-lat

paper · pdf

published as Nucl.Phys.Proc.Suppl. 106 (2002) 314-316 · Lattice 2001(hadronic matrix elements), 3 pages, 4 figures

arxiv created 2001/10/16 · arxiv updated 2009/11/30

Abstract

We have used domain wall fermions to calculate K → π and K → 0 matrix elements which can be used to study the ΔI = 1/2 rule for K decays in the Standard Model. Nonlinearities in the ΔI = 3/2 matrix elements due to chiral logarithms are explored and the subtractions needed for the ΔI = 1/2 matrix elements are discussed. Using renormalization factors calculated using non-perturbative renormalization then yields values for real A₀ and A₂. We present the details of our quenched 16³ × 32 × 16, β= 6.0, M₅ = 1.8 simulation, where a previous calculation showed that the finite L_s chiral symmetry breaking effects are small (m_{\rm res} ≈ 4 \rm MeV).

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