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Title: Standard Model Prediction for Direct CP Violation in Kππ Decay

In this paper, we report the first lattice QCD calculation of the complex kaon decay amplitude A0 with physical kinematics, using a 323 x 64 lattice volume and a single lattice spacing a, with 1/a = 1.3784(68) GeV. We find Re(A0) = 4.66(1.00)(1.26) x 10-7 GeV and Im(A0) = -1.90(1.23)(1.08) x 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(A0) = 3.3201(18) x 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) x 10-4, which is 2.1σ below the experimental value 16.6(2.3) x 10-4. Finally, the real part of A0 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.
Authors:
 [1] ;  [2] ;  [3] ;  [1] ;  [3] ;  [4] ;  [5] ;  [6] ;  [7] ;  [6] ;  [1] ;  [8] ;  [6] ;  [1]
  1. Columbia Univ., New York, NY (United States). Physics Dept.
  2. Univ. of Connecticut, Storrs, CT (United States). Physics Dept.
  3. Univ. of Edinburgh, Scotland (United Kingdom). School of Physics. SUPA
  4. Plymouth Univ. (United Kingdom). School of Computing & Mathematics
  5. Brookhaven National Lab. (BNL), Upton, NY (United States). Physics Dept. RIKEN-BNL Research Center
  6. Brookhaven National Lab. (BNL), Upton, NY (United States). Physics Dept.
  7. Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN-BNL Research Center
  8. Univ. of Southampton (United Kingdom). School of Physics and Astronomy
Publication Date:
OSTI Identifier:
1354688
Report Number(s):
BNL-113786-2017-JA
Journal ID: ISSN 0031-9007; KA2401012
Grant/Contract Number:
AC02-98CH10886; AC02-06CH11357; SC0011941; FG02-92ER41989; ST/L000296/1; ST/G000557/1; ST/L000458/1; ST/J000329/1; ST/H008845/1; ST/K000411/1; ST/K005804/1; ST/K005790/1; 26400261; RPG-2014-118
Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 115; Journal Issue: 21; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Research Org:
Columbia Univ., New York, NY (United States); Brookhaven National Lab. (BNL), Upton, NY (United States); Univ. of Edinburgh, Scotland (United Kingdom)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); Science and Technology Facilities Council (STFC) (United Kingdom); Japan Society for the Promotion of Science (Japan); Leverhulme Trust (United Kingdom)
Contributing Orgs:
RBC and UKQCD Collaborations; Univ. of Connecticut, Storrs, CT (United States); Plymouth Univ. (United Kingdom); Univ. of Southampton (United Kingdom)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; lattice; QCD; HET; kinematics; kaon; decay; GeV; CP; violation