Speaker
Patrick Fritzsch
(CERN)
Description
Starting from low energy hadronic input from the particle data book,
we perform a non-perturbative lattice computation of running couplings
up to scales of around 100GeV. The continuum limit is controlled in all
stages. These non-perturbative computations are performed in the
three-flavor theory, yielding $\Lambda^{(3)}$ with around $4\%$ precision.
Matching accross flavor thresholds with 4-loop perturbation theory then yields
$\alpha_s^{(5)}(m_Z)$ with sub-percent precision where an error estimated
as the contribution of the two highest orders of perturbation theory is
a small component in the overall error budget.
Primary authors
Patrick Fritzsch
(CERN)
Alberto Ramos Martinez
(CERN)
Hubert Simma
(DESY)
Mattia Bruno
Mattia Dalla Brida
(DESY - Zeuthen)
Rainer Paul Sommer
(DESY)
Stefan Schaefer
(Deutsches Elektronen-Synchrotron Campus Zeuthen (DE))
Stefan Sint
(Trinity College Dublin (IE))
Tomasz Korzec
