Standard Model Prediction for Direct <i>CP</i> Violation in <i>K</i> → ππ Decay



Bai, Z, Blum, T, Boyle, PA, Christ, NH, Frison, J, Garron, N ORCID: 0000-0002-4428-3984, Izubuchi, T, Jung, C, Kelly, C, Lehner, C
et al (show 4 more authors) (2015) Standard Model Prediction for Direct <i>CP</i> Violation in <i>K</i> → ππ Decay. PHYSICAL REVIEW LETTERS, 115 (21). 212001-.

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Abstract

We report the first lattice QCD calculation of the complex kaon decay amplitude A_{0} with physical kinematics, using a 32³×64 lattice volume and a single lattice spacing a, with 1/a=1.3784(68) GeV. We find Re(A_{0})=4.66(1.00)(1.26)×10(-7) GeV and Im(A_{0})=-1.90(1.23)(1.08)×10(-11) GeV, where the first error is statistical and the second systematic. The first value is in approximate agreement with the experimental result: Re(A_{0})=3.3201(18)×10(-7) GeV, while the second can be used to compute the direct CP-violating ratio Re(ϵ^{'}/ϵ)=1.38(5.15)(4.59)×10^{-4}, which is 2.1σ below the experimental value 16.6(2.3)×10(-4). The real part of A_{0} is CP conserving and serves as a test of our method while the result for Re(ϵ^{'}/ϵ) provides a new test of the standard model theory of CP violation, one which can be made more accurate with increasing computer capability.

Item Type: Article
Additional Information: collaboration: RBC, UKQCD archiveprefix: arXiv primaryclass: hep-lat reportnumber: RBRC-1141 slaccitation: %%CITATION = ARXIV:1505.07863;%%
Uncontrolled Keywords: RBC and UKQCD Collaborations
Depositing User: Symplectic Admin
Date Deposited: 28 Sep 2017 07:51
Last Modified: 18 Oct 2023 07:36
DOI: 10.1103/PhysRevLett.115.212001
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3004816