Matching the electroweak penguins Q7,Q8 and spectral correlators | Zendy

Johan Bijnens | Zendy; Elvira Gámiz | Zendy; Joaquím Prades | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Matching the electroweak penguins Q₇,Q₈ and spectral correlators

Author(s) -

Johan Bijnens,

Elvira Gámiz,

Joaquím Prades

Publication year - 2001

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2001/10/009

Subject(s) - physics , scalar (mathematics) , observable , coupling (piping) , dimension (graph theory) , mathematical physics , spectral line , spectral function , electroweak scale , electroweak interaction , scale (ratio) , quantum mechanics , mathematics , combinatorics , geometry , condensed matter physics , mechanical engineering , engineering

Exact analytical expressions for the $\Delta S=1$ coupling $\im G_E$ in termsof observable spectral functions are given. This coupling determines the sizeof the $\Delta I=3/2$ contribution to $\epsilon'$. We show analytically how thescheme-dependence and scale dependences vanish to all orders in $1/N_c$ and NLOin $\alpha_S$ explicitly both for $Q_7$ and $Q_8$. Numerical results are derived for both $Q_7$ and $Q_8$ from the $\tau$-dataand known results on the scalar spectral functions. In particular we study theeffect of all higher dimension operators. The coefficients of the leading operators in the OPE of the neededcorrelators are derived to NLO in $\alpha_S$.Comment: 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 rewritte

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research