We present updated results for εK determined directly from the standard model (SM) with lattice QCD inputs such as B^K, ∣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.
@article{arxiv.1810.09761,
title = {2018 Update on $\varepsilon_K$ with lattice QCD inputs},
author = {Jon A. Bailey and Sunkyu Lee and Weonjong Lee and Yong-Chull Jang and Jaehoon Leem and Sungwoo Park},
journal= {arXiv preprint arXiv:1810.09761},
year = {2019}
}