In the chiral limit, the D = 6 contribution to the Operator Product Expansion (OPE) of the VV −AA correlator of quark currents only depends on two vacuum condensates, which can be related to hadronic matrix elements associated to CP violation in non-leptonic kaon decays. We use those relations to determine 〈(ππ) I=2
|Q 8
|K〉, using the updated ALEPH spectral functions. Alternatively, we use those relations in the... (More)
In the chiral limit, the D = 6 contribution to the Operator Product Expansion (OPE) of the VV −AA correlator of quark currents only depends on two vacuum condensates, which can be related to hadronic matrix elements associated to CP violation in non-leptonic kaon decays. We use those relations to determine 〈(ππ) I=2
|Q 8
|K〉, using the updated ALEPH spectral functions. Alternatively, we use those relations in the opposite direction. Taking the values of the matrix elements from the lattice to obtain the D = 6 vacuum elements provides a new short-distance constraint which allows for an inclusive determination of f π
and an updated value for the D = 8 condensate.
@article{5813c3ac-7cb5-4643-b913-782dc8532d7a,
abstract = {{<p><br>
In the chiral limit, the D = 6 contribution to the Operator Product Expansion (OPE) of the VV −AA correlator of quark currents only depends on two vacuum condensates, which can be related to hadronic matrix elements associated to CP violation in non-leptonic kaon decays. We use those relations to determine 〈(ππ) <br>
<sub>I=2</sub><br>
|Q <br>
<sub>8</sub><br>
|K〉, using the updated ALEPH spectral functions. Alternatively, we use those relations in the opposite direction. Taking the values of the matrix elements from the lattice to obtain the D = 6 vacuum elements provides a new short-distance constraint which allows for an inclusive determination of f <br>
<sub>π</sub><br>
and an updated value for the D = 8 condensate. <br>
</p>}},
author = {{Rodríguez-Sánchez, Antonio and Pich, Antonio}},
issn = {{2405-6014}},
keywords = {{Chiral Limit; CP violation; Non-Leptonic Kaon Decays; Operator Product Expansion; Tau Decays}},
language = {{eng}},
pages = {{131--136}},
publisher = {{Elsevier}},
series = {{Nuclear and Particle Physics Proceedings}},
title = {{Confronting hadronic tau decays with non-leptonic kaon decays}},
url = {{http://dx.doi.org/10.1016/j.nuclphysbps.2018.12.023}},
doi = {{10.1016/j.nuclphysbps.2018.12.023}},
volume = {{300-302}},
year = {{2018}},
}