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Abbott, R. ; Blum, T. ; Boyle, P. A. ; Bruno, M. ; Christ, N. H. ; Hoying, D. ; Jung, C. ; Kelly, C. ; Lehner, C. ; Mawhinney, R. D. ; Murphy, D. J. ; Sachrajda, C. T. ; Soni, A. ; Tomii, M. ; Wang, T.

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

Abbott, R., Blum, T., Boyle, P. A., Bruno, M. , Christ, N. H., Hoying, D., Jung, C., Kelly, C., Lehner, C., Mawhinney, R. D., Murphy, D. J., Sachrajda, C. T., Soni, A., Tomii, M. and Wang, T. (2020) Direct CP violation and the ΔI=1/2 rule in K→ππ decay from the standard model. Physical Review D 102 (5), 054509-1.

Date of publication of this fulltext: 01 Apr 2021 13:57
Article
DOI to cite this document: 10.5283/epub.45444


Abstract

We present a lattice QCD calculation of the Delta I = 1/2, K -> pi pi decay amplitude A(0) and epsilon', the measure of direct CP violation in K -> pi pi decay, improving our 2015 calculation [1] of these quantities. Both calculations were performed with physical kinematics on a 32(3) x 64 lattice with an inverse lattice spacing of a(-1) = 1.3784(68) GeV. However, the current calculation includes ...

We present a lattice QCD calculation of the Delta I = 1/2, K -> pi pi decay amplitude A(0) and epsilon', the measure of direct CP violation in K -> pi pi decay, improving our 2015 calculation [1] of these quantities. Both calculations were performed with physical kinematics on a 32(3) x 64 lattice with an inverse lattice spacing of a(-1) = 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 pi pi ground state and more accurately relate the lattice operators to those defined in the standard model. We find Re(A(0)) = 2.99(0.32)(0.59) x 10(-7) GeVand Im(A(0)) = -6.98(0.62)(1.44) x 10(-11) GeV, where the errors are statistical and systematic, respectively. The former agrees well with the experimental result Re(A(0)) = 3.3201(18) x 10(-7) GeV. These results for A(0) can be combined with our earlier lattice calculation of A(2) [2] to obtain Re(epsilon'/epsilon) = 21.7(2.6)(6.2)(5.0) x 10(-4), where the third error represents omitted isospin breaking effects, and ReoA0)=Re(A(2)) = 19.9(2.3)(4.4). The first agrees well with the experimental result of Re(epsilon'/epsilon) = 16.6(2.3) x 10(-4). A comparison of the second with the observed ratio Re(A(0))=Re(A(2)) = 22.45(6), demonstrates the standard model origin of this "Delta I = 1/2 rule" enhancement.



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Details

Item typeArticle
Journal or Publication TitlePhysical Review D
Publisher:AMER PHYSICAL SOC
Place of Publication:COLLEGE PK
Volume:102
Number of Issue or Book Chapter:5
Page Range:054509-1
Date17 September 2020
InstitutionsPhysics > Institute of Theroretical Physics
Identification Number
ValueType
10.1103/PhysRevD.102.054509DOI
KeywordsNONLEPTONIC DECAYS; LATTICE QCD; WEAK DECAYS; SCATTERING; MATRIX; NNLO;
Dewey Decimal Classification500 Science > 530 Physics
StatusPublished
RefereedYes, this version has been refereed
Created at the University of RegensburgYes
URN of the UB Regensburgurn:nbn:de:bvb:355-epub-454444
Item ID45444

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