The ΔI = 1/2 rule in the chiral limit
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/367e76a8-6457-426a-a11e-896976c8ba30
- author
- Bijnens, Johan LU and Prades, Joaquim
- organization
- publishing date
- 1999-12-01
- 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}}, }