K to ππ Decay amplitudes from Lattice QCD release_4o7u2uwdwjbw3gbf3pq5nxwzhi

by T. Blum, P.A. Boyle, N.H. Christ, N. Garron, E. Goode, T. Izubuchi, C. Lehner, Q. Liu, R.D. Mawhinney, C.T. Sachrajda, A. Soni, C. Sturm (+2 others)

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2011  

Abstract

We report a direct lattice calculation of the K to ππ decay matrix elements for both the Δ I=1/2 and 3/2 amplitudes A_0 and A_2 on 2+1 flavor, domain wall fermion, 16^3×32×16 lattices. This is a complete calculation in which all contractions for the required ten, four-quark operators are evaluated, including the disconnected graphs in which no quark line connects the initial kaon and final two-pion states. These lattice operators are non-perturbatively renormalized using the Rome-Southampton method and the quadratic divergences are studied and removed. This is an important but notoriously difficult calculation, requiring high statistics on a large volume. In this paper we take a major step towards the computation of the physical K→ππ amplitudes by performing a complete calculation at unphysical kinematics with pions of mass 422 MeV at rest in the kaon rest frame. With this simplification we are able to resolve Re(A_0) from zero for the first time, with a 25 computing the complete, complex amplitude A_0, a calculation central to understanding the Δ =1/2 rule and testing the standard model of CP violation in the kaon system.
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Date   2011-06-14
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Language   en ?
arXiv  1106.2714v1
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