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-.
Text
1505.07863.pdf - Submitted version Download (249kB) |
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 |
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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 |