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ε′K/εK in the chiral limit

Bijnens, Johan LU orcid and Prades, Joaquim (2000) In Journal of High Energy Physics 2000(JHEP06(2000)).
Abstract

The K → ππ system is analyzed in the chiral limit within the Standard Model. We discuss how to connect the short-distance running in the |ΔS| = 1 case to the matrix-elements calculated in a low-energy approximation in a scheme-independent fashion. We calculate this correction and the resulting Wilson Coefficients. The matrix elements are calculated to next-to-leading order in the 1/Nc expansion and combined with the Wilson coefficients to calculate the two isospin amplitudes and ε′K. The ΔI = 1/2 rule is reproduced within expected errors and we obtain a substantially larger value for ε′K/εK than most other analysises. We discuss the reasons for this difference. We also suggest that the X-boson... (More)

The K → ππ system is analyzed in the chiral limit within the Standard Model. We discuss how to connect the short-distance running in the |ΔS| = 1 case to the matrix-elements calculated in a low-energy approximation in a scheme-independent fashion. We calculate this correction and the resulting Wilson Coefficients. The matrix elements are calculated to next-to-leading order in the 1/Nc expansion and combined with the Wilson coefficients to calculate the two isospin amplitudes and ε′K. The ΔI = 1/2 rule is reproduced within expected errors and we obtain a substantially larger value for ε′K/εK than most other analysises. We discuss the reasons for this difference. We also suggest that the X-boson method is an option for lattice QCD calculations.

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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
1/N Expansion, CP-violation, Kaon Physics, Weak Decays
in
Journal of High Energy Physics
volume
2000
issue
JHEP06(2000)
article number
035
pages
29 pages
publisher
Springer
external identifiers
  • scopus:7044247867
ISSN
1029-8479
DOI
10.1088/1126-6708/2000/06/035
language
English
LU publication?
yes
id
d3e4e886-cac0-47f6-ba10-85f48f4cdac6
date added to LUP
2019-05-02 17:58:14
date last changed
2024-04-16 05:00:20
@article{d3e4e886-cac0-47f6-ba10-85f48f4cdac6,
  abstract     = {{<p>The K → ππ system is analyzed in the chiral limit within the Standard Model. We discuss how to connect the short-distance running in the |ΔS| = 1 case to the matrix-elements calculated in a low-energy approximation in a scheme-independent fashion. We calculate this correction and the resulting Wilson Coefficients. The matrix elements are calculated to next-to-leading order in the 1/N<sub>c</sub> expansion and combined with the Wilson coefficients to calculate the two isospin amplitudes and ε′<sub>K</sub>. The ΔI = 1/2 rule is reproduced within expected errors and we obtain a substantially larger value for ε′<sub>K</sub>/ε<sub>K</sub> than most other analysises. We discuss the reasons for this difference. We also suggest that the X-boson method is an option for lattice QCD calculations.</p>}},
  author       = {{Bijnens, Johan and Prades, Joaquim}},
  issn         = {{1029-8479}},
  keywords     = {{1/N Expansion; CP-violation; Kaon Physics; Weak Decays}},
  language     = {{eng}},
  number       = {{JHEP06(2000)}},
  publisher    = {{Springer}},
  series       = {{Journal of High Energy Physics}},
  title        = {{ε′<sub>K</sub>/ε<sub>K</sub> in the chiral limit}},
  url          = {{http://dx.doi.org/10.1088/1126-6708/2000/06/035}},
  doi          = {{10.1088/1126-6708/2000/06/035}},
  volume       = {{2000}},
  year         = {{2000}},
}