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Photo of Johan Bijnens

Johan Bijnens

Professor

Photo of Johan Bijnens

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

Author

  • Johan Bijnens
  • Joaquim Prades

Summary, in English

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.

Department/s

  • Theoretical Particle Physics

Publishing year

2000-01

Language

English

Publication/Series

Journal of High Energy Physics

Volume

2000

Issue

JHEP01(2000)

Document type

Journal article

Publisher

Springer

Topic

  • Subatomic Physics

Keywords

  • 1/N Expansion
  • CP violation
  • Kaon Physics

Status

Published

ISBN/ISSN/Other

  • ISSN: 1029-8479