@Article{Pich+Rodriguez-Sanchez2021,
author="Pich, A.
and Rodriguez-Sanchez, A.",
title="SU(3) analysis of four-quark operators: K -> pi pi and vacuum matrix elements",
journal="Journal of High Energy Physics",
year="2021",
publisher="Springer",
volume="06",
number="6",
pages="005--43pp",
optkeywords="Chiral Lagrangians; CP violation; Effective Field Theories; Kaon Physics",
abstract="Hadronic matrix elements of local four-quark operators play a central role in non-leptonic kaon decays, while vacuum matrix elements involving the same kind of operators appear in inclusive dispersion relations, such as those relevant in tau -decay analyses. Using an SU(3)(L) circle times SU(3)(R) decomposition of the operators, we derive generic relations between these matrix elements, extending well-known results that link observables in the two different sectors. Two relevant phenomenological applications are presented. First, we determine the electroweak-penguin contribution to the kaon CP-violating ratio epsilon {\textquoteright}/epsilon, using the measured hadronic spectral functions in tau decay. Second, we fit our SU(3) dynamical parameters to the most recent lattice data on K -> pi pi matrix elements. The comparison of this numerical fit with results from previous analytical approaches provides an interesting anatomy of the Delta I = 1/2 enhancement, confirming old suggestions about its underlying dynamical origin.",
optnote="WOS:000762295200001",
optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=5148), last updated on Sun, 13 Mar 2022 18:16:45 +0000",
issn="1029-8479",
doi="10.1007/JHEP06(2021)005",
opturl="https://arxiv.org/abs/2102.09308",
opturl="https://doi.org/10.1007/JHEP06(2021)005",
language="English"
}