Standard Model Prediction for Direct Violation in Decay
- Columbia Univ., New York, NY (United States). Physics Dept.
- Univ. of Connecticut, Storrs, CT (United States). Physics Dept.
- Univ. of Edinburgh, Scotland (United Kingdom). School of Physics. SUPA
- Plymouth Univ. (United Kingdom). School of Computing & Mathematics
- Brookhaven National Lab. (BNL), Upton, NY (United States). Physics Dept. RIKEN-BNL Research Center
- Brookhaven National Lab. (BNL), Upton, NY (United States). Physics Dept.
- Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN-BNL Research Center
- Univ. of Southampton (United Kingdom). School of Physics and Astronomy
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.
- Research Organization:
- Columbia Univ., New York, NY (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States); Univ. of Edinburgh, Scotland (United Kingdom)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP); Science and Technology Facilities Council (STFC) (United Kingdom); Japan Society for the Promotion of Science (Japan); Leverhulme Trust (United Kingdom)
- Contributing Organization:
- RBC and UKQCD Collaborations; Univ. of Connecticut, Storrs, CT (United States); Plymouth Univ. (United Kingdom); Univ. of Southampton (United Kingdom)
- 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
- OSTI ID:
- 1354688
- Alternate ID(s):
- OSTI ID: 1226179
- Report Number(s):
- BNL-113786-2017-JA; KA2401012
- Journal Information:
- Physical Review Letters, Vol. 115, Issue 21; ISSN 0031-9007
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
Similar Records
Decay Amplitude from Lattice QCD
Exclusive semileptonic decays on the lattice