Matching the electroweak penguins q₇, q₈ and spectral correlators

Summary, in English

Exact analytical expressions for the ∆S = 1 coupling Im G_E in terms of observable spectral functions are given. This coupling determines the size of the ∆I = 3/2 contribution to ε^′ . We show analytically how the scheme-dependence and scale dependences vanish to all orders in 1/N_c and NLO in α_S explicitly both for Q₇ and Q₈ . Numerical results are derived for both Q₇ and Q₈ from the τ-data and known results on the scalar spectral functions. In particular we study the effect of all higher dimension operators. The coefficients of the leading operators in the OPE of the needed correlators are derived to NLO in α_S .

• Author: Johan Bijnens; Elvira Gámiz; Joaquim Prades
• Department/s: Department of Astronomy and Theoretical Physics - Has been reorganised
• Publishing year: 2001-10-16
• Language: English
• Publication/Series: Journal of High Energy Physics
• Volume: 2001
• Issue: JHEP10(2001)
• Links: http://dx.doi.org/10.1088/1126-6708/2001/10/009
• Document type: Journal article
• Publisher: Springer
• Topic: Other Physics Topics
• Keywords: Chiral Lagrangians; CP violation; Kaon Physics; QCD
• Status: Published
• ISBN/ISSN/Other: ISSN: 1029-8479