Finite Energy Chiral Sum Rules and Tau Spectral Functions

Details Finite Energy Chiral Sum Rules and Tau Spectral Functions Finite Energy Chiral Sum Rules and Tau Spectral Functions

1998-02-27

arxiv.org/abs/hep-ph/9802447v1

Phys.Rev.D58:096014,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTex, 20 pages, 5 figures (EPS)

Scientific paper

10.1103/PhysRevD.58.096014

A combination of finite energy sum rule techniques and Chiral Perturbation Theory (ChPT) is used in order to exploit recent ALEPH data on the non-strange tau vector (V) and axial-vector (A) spectral functions with respect to an experimental determination of the ChPT quantity L_{10}. A constrained fit of R_{\tau,V-A}^(k,l) inverse moments (l<0) and positive spectral moments (l>=0) adjusts simultaneously L_{10} and the nonperturbative power terms of the Operator Product Expansion. We give explicit formulae for the first k=0,1 and l=-1,-2 strange and non-strange inverse moment chiral sum rules to one-loop order generalized ChPT. Our final result reads L^r_{10}(M_\rho)=-(5.13 +/- 0.19)x10^{-3}, where the error includes experimental and theoretical uncertainties.

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