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

R. Abbott, T. Blum, P. A. Boyle, M. Bruno, N. H. Christ, D. Hoying, C. Jung, C. Kelly, C. Lehner, R. D. Mawhinney, D. J. Murphy, C. T. Sachrajda, A. Soni, M. Tomii, and T. Wang (RBC and UKQCD Collaborations)
Phys. Rev. D 102, 054509 – Published 17 September 2020
Physics logo See synopsis: Kaon Decays Reevaluated

Abstract

We present a lattice QCD calculation of the ΔI=1/2, Kππ decay amplitude A0 and ϵ, the measure of direct CP violation in Kππ decay, improving our 2015 calculation [1] of these quantities. Both calculations were performed with physical kinematics on a 323×64 lattice with an inverse lattice spacing of a1=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 ππ ground state and more accurately relate the lattice operators to those defined in the standard model. We find Re(A0)=2.99(0.32)(0.59)×107GeV and Im(A0)=6.98(0.62)(1.44)×1011GeV, where the errors are statistical and systematic, respectively. The former agrees well with the experimental result Re(A0)=3.3201(18)×107GeV. These results for A0 can be combined with our earlier lattice calculation of A2 [2] to obtain Re(ϵ/ϵ)=21.7(2.6)(6.2)(5.0)×104, where the third error represents omitted isospin breaking effects, and Re(A0)/Re(A2)=19.9(2.3)(4.4). The first agrees well with the experimental result of Re(ϵ/ϵ)=16.6(2.3)×104. A comparison of the second with the observed ratio Re(A0)/Re(A2)=22.45(6), demonstrates the standard model origin of this “ΔI=1/2 rule” enhancement.

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  • Received 18 May 2020
  • Accepted 13 August 2020

DOI:https://doi.org/10.1103/PhysRevD.102.054509

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

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Kaon Decays Reevaluated

Published 17 September 2020

A rigorous calculation of a matter-antimatter asymmetry in kaon decays has twice the precision of a previous calculation, removing tension that had existed between theory and experiment.

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Authors & Affiliations

R. Abbott1, T. Blum2,3, P. A. Boyle4,5, M. Bruno6, N. H. Christ1, D. Hoying3,2, C. Jung4, C. Kelly4, C. Lehner7,4, R. D. Mawhinney1, D. J. Murphy8, C. T. Sachrajda9, A. Soni4, M. Tomii2, and T. Wang1 (RBC and UKQCD Collaborations)

  • 1Physics Department, Columbia University, New York, New York 10027, USA
  • 2Physics Department, University of Connecticut, Storrs, Connecticut 06269-3046, USA
  • 3RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, USA
  • 4Brookhaven National Laboratory, Upton, New York 11973, USA
  • 5SUPA, School of Physics, The University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom
  • 6Theoretical Physics Department, CERN, 1211 Geneve 23, Switzerland
  • 7Universität Regensburg, Fakultät für Physik, 93040 Regensburg, Germany
  • 8Center for Theoretical Physics, Massachusetts Institute of Technology, Boston, Massachusetts 02139, USA
  • 9School of Physics and Astronomy, University of Southampton, Southampton SO17 1BJ, United Kingdom

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Issue

Vol. 102, Iss. 5 — 1 September 2020

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