ε′_K/ε_K in the chiral limit

Summary, in English

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_c 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/ε_K 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.

• Author: Johan Bijnens; Joaquim Prades
• Department/s: Theoretical Particle Physics - Has been reorganised
• Publishing year: 2000-07
• Language: English
• Publication/Series: Journal of High Energy Physics
• Volume: 2000
• Issue: JHEP06(2000)
• Links: http://dx.doi.org/10.1088/1126-6708/2000/06/035
• Document type: Journal article
• Publisher: Springer
• Topic: Other Physics Topics
• Keywords: 1/N Expansion; CP-violation; Kaon Physics; Weak Decays
• Status: Published
• ISBN/ISSN/Other: ISSN: 1029-8479