Standard Model Prediction for Direct CP Violation in K→ππ Decay

Bai, Z.; Blum, T.; Boyle, P. A.; Christ, N. H.; Frison, J.; Garron, N.; Izubuchi, T.; Jung, C.; Kelly, C.; Lehner, C.; Mawhinney, R. D.; Sachrajda, C. T.; Soni, A.; Zhang, D.

doi:10.1103/PhysRevLett.115.212001

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

Journal Article · Tue Nov 17 00:00:00 EST 2015 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.115.212001· OSTI ID:1354688

Bai, Z. ^[1]; Blum, T. ^[2]; Boyle, P. A. ^[3]; Christ, N. H. ^[1]; Frison, J. ^[3]; Garron, N. ^[4]; Izubuchi, T. ^[5]; Jung, C. ^[6]; Kelly, C. ^[7]; Lehner, C. ^[6]; Mawhinney, R. D. ^[1]; Sachrajda, C. T. ^[8]; Soni, A. ^[6]; Zhang, D. ^[1]

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.

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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

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Cited by: 134 works

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