We present updated results for εK determined directly from the standard model (SM) with lattice QCD inputs such as BK, |Vcb|, |Vus|, ξ0, ξ2, ξLD, FK, and mc. We find that the standard model with exclusive |Vcb| and other lattice QCD inputs describes only 70% of the experimental value of |εK| and does not explain its remaining 30%, which leads to a strong tension in |εK| at the 4σ level between the SM theory and experiment. We also find that this tension disappears when we use the inclusive value of |Vcb| obtained using the heavy quark expansion based on QCD sum rules.
|Journal||Proceedings of Science|
|Publication status||Published - 2018|
|Event||36th Annual International Symposium on Lattice Field Theory, LATTICE 2018 - East Lansing, United States|
Duration: 2018 Jul 22 → 2018 Jul 28
Bibliographical noteFunding Information:
of W. Lee is supported by the Creative Research Initiatives Program (No. 2017013332) of the NRF grant funded by the Korean government (MEST). J.A.B. is supported by the Basic Science Research Program of the National Research Foundation of Korea (NRF) funded by the Ministry of Education (No. 2015024974). W. Lee would like to acknowledge the support from the KISTI supercomputing center through the strategic support program for the supercomputing application research (No. KSC-2016-C3-0072). Computations were carried out on the DAVID GPU clusters at Seoul National University.
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