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Title Long-distance contribution to epsilon_K from lattice QCD
Authors Ziyuan Bai, Norman Christ, Joseph Karpie, Christopher Sachradja, Amarjit Soni, Bigeng Wang
JLAB number JLAB-THY-23-3937
LANL number (None)
Other number DOE/OR/23177-7226
Document Type(s) (Journal Article) 
Associated with EIC: No
Supported by Jefferson Lab LDRD Funding: No
Funding Source: Nuclear Physics (NP)
 

Journal
Compiled for Physical Review D
Volume 109
Page(s) 054501
Publication Abstract: A lattice QCD approach to the calculation of the long-distance contributions to epsilon_K is presented. This parameter describes indirect CP violation in K ? ?? decay. While the short-distance contribution to epsilon_K can be accurately calculated in terms of standard model parameters and a single hadronic matrix element, B_K, there is a long-distance part which is estimated to be approximately 5% of the total and is more difficult to determine. A method for determining this small but phenomenologically important contribution to epsilon_K using lattice QCD is proposed and a complete exploratory calculation of the contribution is presented. This exploratory calculation uses an unphysical light quark mass corresponding to a 339 MeV pion mass and an unphysical charm quark mass of 968 MeV, expressed in the MS scheme at 2 GeV. This calculation demonstrates that future work should be able to determine this long-distance contribution from first principles with a controlled error of 10% or less.
Experiment Numbers:
Group: THEORY CENTER
Document: pdf
DOI: https://doi.org/10.1103/PhysRevD.109.054501
Accepted Manuscript: PhysRevD.109.054501.pdf
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Supporting Datasets: