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Scheme dependence of weak matrix elements in the 1/Nc expansion

Bijnens, Johan LU and Prades, Joaquim (2000) In Journal of High Energy Physics 2000(JHEP01(2000)).
Abstract

We show how the scheme- and scale-dependence of the short-distance operator product expansion with four-quark operators can be correctly accounted for in the framework of the 1/Nc-expansion once the hadronization of two-quark currents has been fixed. We show formulas explicitly in the case of the BK-parameter. We then use them together with our earlier estimates of the long-distance effects. We compare Chiral Perturbation Theory at Leading- and Next-to-Leading-Order with the ENJL model results in the chiral limit. Good matching between the long-and short-distance regimes is obtained and our final value for the physical scheme independent B̂K is 0.77 ± 0.05 ± 0.05.

Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
1/N Expansion, CP violation, Kaon Physics
in
Journal of High Energy Physics
volume
2000
issue
JHEP01(2000)
pages
23 pages
publisher
Springer
external identifiers
  • scopus:7444259867
ISSN
1029-8479
DOI
10.1088/1126-6708/2000/01/002
language
English
LU publication?
yes
id
4c9d40c7-7890-42c0-a083-172de7b5ce37
date added to LUP
2019-05-03 08:59:09
date last changed
2019-10-23 06:13:08
@article{4c9d40c7-7890-42c0-a083-172de7b5ce37,
  abstract     = {<p>We show how the scheme- and scale-dependence of the short-distance operator product expansion with four-quark operators can be correctly accounted for in the framework of the 1/N<sub>c</sub>-expansion once the hadronization of two-quark currents has been fixed. We show formulas explicitly in the case of the B<sub>K</sub>-parameter. We then use them together with our earlier estimates of the long-distance effects. We compare Chiral Perturbation Theory at Leading- and Next-to-Leading-Order with the ENJL model results in the chiral limit. Good matching between the long-and short-distance regimes is obtained and our final value for the physical scheme independent B̂<sub>K</sub> is 0.77 ± 0.05 ± 0.05.</p>},
  author       = {Bijnens, Johan and Prades, Joaquim},
  issn         = {1029-8479},
  keyword      = {1/N Expansion,CP violation,Kaon Physics},
  language     = {eng},
  number       = {JHEP01(2000)},
  pages        = {23},
  publisher    = {Springer},
  series       = {Journal of High Energy Physics},
  title        = {Scheme dependence of weak matrix elements in the 1/N<sub>c</sub> expansion},
  url          = {http://dx.doi.org/10.1088/1126-6708/2000/01/002},
  volume       = {2000},
  year         = {2000},
}