Speaker
Description
The expected experimental precision of the rates and asymmetries
in the Future Circular Collider with electron positron beams (FCC-ee)
in the energy range 88-365GeV considered for construction in CERN,
will be better by a factor 5-200.
This will be thanks to very high luminosity,
factor up to $10^5$ higher than in the past LEP experiments.
This poses the extraordinary challenge of improving the precision
of the Standard Model predictions by a comparable factor.
In particular the perturbative calculations of the trivial QED effects,
which have to be removed from the experimental data,
are considered to be a major challenge for almost all
quantities to be measured at FCC-ee.
The task of this paper is to summarize on the ``state of the art''
in this class of the calculations left from the LEP era
and to examine what is to be done
to match the precision of the FCC-ee experiments --
what kind of technical advancements are necessary.
The above analysis will be done for most important observables
of the FCC-ee like the total cross sections near $Z$ and $WW$ threshold,
charge asymmetries, the invisible width of $Z$ boson, the spin asymmetry
from tau lepton decay and the luminosity measurement.
