Direct CP violation and the ΔI=1/2 rule in K → ππ decay from the standard model

被引：36

作者：

Abbott, R. ^{[1
]}

Blum, T. ^{[2
,3
]}

Boyle, P. A. ^{[4
,5
]}

Bruno, M. ^{[6
]}

Christ, N. H. ^{[1
]}

Hoying, D. ^{[2
,3
]}

Jung, C. ^{[4
]}

Kelly, C. ^{[4
]}

Lehner, C. ^{[4
,7
]}

Mawhinney, R. D. ^{[1
]}

Murphy, D. J. ^{[8
]}

Sachrajda, C. T. ^{[9
]}

Soni, A. ^{[4
]}

Tomii, M. ^{[2
]}

Wang, T. ^{[1
]}

机构：

[1] Columbia Univ, Dept Phys, 538 W 120th St, New York, NY 10027 USA

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

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

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

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

[6] CERN, Dept Theoret Phys, CH-1211 Geneva 23, Switzerland

[7] Univ Regensburg, Fak Phys, D-93040 Regensburg, Germany

[8] MIT, Ctr Theoret Phys, Cambridge, MA 02139 USA

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

来源：

PHYSICAL REVIEW D | 2020年 / 102卷 / 05期

关键词：

NONLEPTONIC DECAYS; LATTICE QCD; WEAK DECAYS; SCATTERING; MATRIX; NNLO;

D O I：

10.1103/PhysRevD.102.054509

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We present a lattice QCD calculation of the Delta I = 1/2, K -> pi pi decay amplitude A(0) and epsilon', the measure of direct CP violation in K -> pi pi decay, improving our 2015 calculation [1] of these quantities. Both calculations were performed with physical kinematics on a 32(3) x 64 lattice with an inverse lattice spacing of a(-1) = 1.3784(68) GeV. However, the current calculation includes nearly 4 times the statistics and numerous technical improvements allowing us to more reliably isolate the pi pi ground state and more accurately relate the lattice operators to those defined in the standard model. We find Re(A(0)) = 2.99(0.32)(0.59) x 10(-7) GeVand Im(A(0)) = -6.98(0.62)(1.44) x 10(-11) GeV, where the errors are statistical and systematic, respectively. The former agrees well with the experimental result Re(A(0)) = 3.3201(18) x 10(-7) GeV. These results for A(0) can be combined with our earlier lattice calculation of A(2) [2] to obtain Re(epsilon'/epsilon) = 21.7(2.6)(6.2)(5.0) x 10(-4), where the third error represents omitted isospin breaking effects, and ReoA0)=Re(A(2)) = 19.9(2.3)(4.4). The first agrees well with the experimental result of Re(epsilon'/epsilon) = 16.6(2.3) x 10(-4). A comparison of the second with the observed ratio Re(A(0))=Re(A(2)) = 22.45(6), demonstrates the standard model origin of this "Delta I = 1/2 rule" enhancement.

引用

页数：46

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