Modified Contour-Improved Perturbation Theory

Details Modified Contour-Improved Perturbation Theory Modified Contour-Improved Perturbation Theory

2010-05-24

arxiv.org/abs/1005.4444v3

Phys.Rev.D82:093007,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 3 figures

Scientific paper

10.1103/PhysRevD.82.093007

The semihadronic tau decay width allows a clean extraction of the strong coupling constant at low energies. We present a modification of the standard "contour improved" method based on a derivative expansion of the Adler function. The approach eliminates ambiguities coming from the existence of different integral expressions for the semihadronic tau decay ratio. Compared to the standard method, renormalization scale dependence is by more than a factor two weaker in modified contour improved perturbation theory. The last term of the expansion is reduced, and renormalization scheme dependence remains approximately equal. The extracted QCD coupling at the tau mass scale is by 2$%$ lower than the "contour improved" value. We find $\alpha_s(M_Z^2)=0.1211\pm 0.0010$.

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