K to ππ decay amplitudes from lattice QCD

被引：44

作者：

Blum, T. ^{[1
]}

Boyle, P. A. ^{[2
]}

Christ, N. H. ^{[3
]}

Garron, N. ^{[2
]}

Goode, E. ^{[4
]}

Izubuchi, T. ^{[5
,6
]}

Lehner, C. ^{[6
]}

Liu, Q. ^{[3
]}

Mawhinney, R. D. ^{[3
]}

Sachrajda, C. T. ^{[4
]}

Soni, A. ^{[5
]}

Sturm, C. ^{[7
]}

Yin, H. ^{[3
]}

Zhou, R. ^{[1
,8
]}

机构：

[1] Univ Connecticut, Dept Phys, Storrs, CT 06269 USA

[2] Univ Edinburgh, Sch Phys, SUPA, Edinburgh EH9 3JZ, Midlothian, Scotland

[3] Columbia Univ, Dept Phys, New York, NY 10027 USA

[4] Univ Southampton, Sch Phys & Astron, Southampton SO17 1BJ, Hants, England

[5] Brookhaven Natl Lab, Upton, NY 11973 USA

[6] Brookhaven Natl Lab, RIKEN BNL Res Ctr, Upton, NY 11973 USA

[7] Max Planck Inst Phys & Astrophys, D-80805 Munich, Germany

[8] Indiana Univ, Dept Phys, Bloomington, IN 47405 USA

来源：

PHYSICAL REVIEW D | 2011年 / 84卷 / 11期

关键词：

D O I：

10.1103/PhysRevD.84.114503

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We report a direct lattice calculation of the K to pi pi decay matrix elements for both the Delta I = 1/2 and 3/2 amplitudes A(0) and A(2) on 2 + 1 flavor, domain wall fermion, 16(3) x 32 x 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 nonperturbatively 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 toward the computation of the physical K -> pi pi amplitudes by performing a complete calculation at unphysical kinematics with pions of mass 422 MeVat 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% statistical error and can develop and evaluate methods for computing the complete, complex amplitude A(0), a calculation central to understanding the Delta = 1/2 rule and testing the standard model of CP violation in the kaon system.

引用

页数：22

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