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Title: Standard Model Prediction for Direct C P Violation in K π π Decay

In this paper, we report the first lattice QCD calculation of the complex kaon decay amplitude A 0 with physical kinematics, using a 32 3 x 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) x 10 -7 GeV and Im(A 0) = -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(A 0) = 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 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.
 [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:
Report Number(s):
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
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 115; Journal Issue: 21; Journal ID: ISSN 0031-9007
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
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; lattice; QCD; HET; kinematics; kaon; decay; GeV; CP; violation
OSTI Identifier:
Alternate Identifier(s):
OSTI ID: 1226179