2001/08/31 by Johan Bijnens, E. Gámiz, Elvira Gamiz +2 · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Condensed matter physics #Cosmology and Gravitation Theories #Coupling (piping) #Dimension (graph theory) #Electroweak interaction #Electroweak scale #Geometry #Mathematical physics #Mathematics #Observable #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Scalar (mathematics) #Scale (ratio) #Spectral function #Spectral line #hep-ph
paper · pdf · doi:10.1088/1126-6708/2001/10/009
published as JHEP 0110:009,2001 · 38 pages, JHEP.cls,Changes: mistake in the calculations of the OPE coefficients corrected, numerical results: OPAL data discussed more extensively and analysis of ALEPH data extended and comparison with earlier work rewritten
arxiv created 2001/09/28 · openalex publication_date 2001/10/05 · openalex created_date 2017/04/07 · openalex updated_date 2026/08/05
Exact analytical expressions for the ΔS=1 coupling \im GE in terms of observable spectral functions are given. This coupling determines the size of the ΔI=3/2 contribution to ε'. We show analytically how the scheme-dependence and scale dependences vanish to all orders in 1/Nc and NLO in αS 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 αS.