Finite Energy Chiral Sum Rules and Tau Spectral Functions
摘要
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.
引用
@article{arxiv.hep-ph/9802447,
title = {Finite Energy Chiral Sum Rules and Tau Spectral Functions},
author = {M. Davier and L. Girlanda and A. Hoecker and J. Stern},
journal= {arXiv preprint arXiv:hep-ph/9802447},
year = {2008}
}
备注
LaTex, 20 pages, 5 figures (EPS)