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The ΔI = 1/2 rule in the chiral limit

Bijnens, Johan LU orcid and Prades, Joaquim (1999) In Journal of High Energy Physics 1999(JHEP01(1999)).
Abstract

We discuss the matching between long-distance and short-distance at next-to-leading in 1/Nc and show how the scheme-dependence from the two-loop renormalization group running can be treated. We then use this method to study the three O(p2) terms contributing to non-leptonic kaon decays, namely the usual octet and 27-plet derivative terms as well as the weak mass term using the Extended Nambu Jona-Lasinio model as the low energy approximation. We also discuss subtleties in the momentum routing in the low energy theory and a problem in separating factorizable and non-factorizable contributions from the Q6 operator in the chiral limit. We update our earlier results on the BK parameter as well.

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author
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organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
1/N Expansion, Chiral Lagrangians, Kaon Physics, Weak Decays
in
Journal of High Energy Physics
volume
1999
issue
JHEP01(1999)
publisher
Springer
external identifiers
  • scopus:33646037684
ISSN
1029-8479
DOI
10.1088/1126-6708/1999/01/023
language
English
LU publication?
yes
id
367e76a8-6457-426a-a11e-896976c8ba30
date added to LUP
2019-05-02 17:58:51
date last changed
2024-03-19 05:55:55
@article{367e76a8-6457-426a-a11e-896976c8ba30,
  abstract     = {{<p>We discuss the matching between long-distance and short-distance at next-to-leading in 1/N<sub>c</sub> and show how the scheme-dependence from the two-loop renormalization group running can be treated. We then use this method to study the three O(p<sup>2</sup>) terms contributing to non-leptonic kaon decays, namely the usual octet and 27-plet derivative terms as well as the weak mass term using the Extended Nambu Jona-Lasinio model as the low energy approximation. We also discuss subtleties in the momentum routing in the low energy theory and a problem in separating factorizable and non-factorizable contributions from the Q<sub>6</sub> operator in the chiral limit. We update our earlier results on the B<sub>K</sub> parameter as well.</p>}},
  author       = {{Bijnens, Johan and Prades, Joaquim}},
  issn         = {{1029-8479}},
  keywords     = {{1/N Expansion; Chiral Lagrangians; Kaon Physics; Weak Decays}},
  language     = {{eng}},
  month        = {{12}},
  number       = {{JHEP01(1999)}},
  publisher    = {{Springer}},
  series       = {{Journal of High Energy Physics}},
  title        = {{The ΔI = 1/2 rule in the chiral limit}},
  url          = {{http://dx.doi.org/10.1088/1126-6708/1999/01/023}},
  doi          = {{10.1088/1126-6708/1999/01/023}},
  volume       = {{1999}},
  year         = {{1999}},
}