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Confronting hadronic tau decays with non-leptonic kaon decays

Rodríguez-Sánchez, Antonio LU and Pich, Antonio (2018) In Nuclear and Particle Physics Proceedings 300-302. p.131-136
Abstract


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.

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Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Chiral Limit, CP violation, Non-Leptonic Kaon Decays, Operator Product Expansion, Tau Decays
in
Nuclear and Particle Physics Proceedings
volume
300-302
pages
6 pages
publisher
Elsevier
external identifiers
  • scopus:85061723382
ISSN
2405-6014
DOI
10.1016/j.nuclphysbps.2018.12.023
language
English
LU publication?
yes
id
5813c3ac-7cb5-4643-b913-782dc8532d7a
date added to LUP
2019-03-05 12:44:37
date last changed
2020-02-23 07:51:57
@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},
  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},
}