$α_s(m_Z)$ from tau decays with matching conditions at three loops

Details $α_s(m_Z)$ from tau decays with matching conditions at three loops $α_s(m_Z)$ from tau decays with matching conditions at three loops

1997-07-25

arxiv.org/abs/hep-ph/9707474v1

Phys.Lett.B424:367-374,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 11 pp., 3 figures. Uses elsart

Scientific paper

10.1016/S0370-2693(98)00219-6

Using the recent four-loop calculations of the QCD beta-function and the
three-loop matching coefficients we study the induced error in $\alpha_s(m_Z)$
obtained from $\alpha_s(m_tau)$ due to the evolution procedure. We show that,
when consistent matching and running is used at this order, these errors are
pushed below 0.0005 in $\alpha_s(m_Z)$.

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