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

Rodrigo, German; Pich, Antonio; Santamaria, Arcadi

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

Authors

Rodrigo, German

Pich, Antonio

Santamaria, Arcadi

Description

Using the recent four-loop calculations of the QCD beta-function and the three-loop matching coefficients we study the induced error in $α_s(m_Z)$ obtained from $α_s(m_tau)$ 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 $α_s(m_Z)$.
Latex, 11 pp., 3 figures. Uses elsart