M. Beccaria et al., Logarithmic expansion of electroweak corrections to four-fermion processesin the TeV region - art. no. 073005, PHYS REV D, 6107(7), 2000, pp. 3005
Starting from a theoretical representation of the electroweak component of
four-fermion neutral current processes that uses as theoretical input the e
xperimental measurements at the Z peak, we consider the asymptotic high ene
rgy behavior in the standard model at one loop of those gauge-invariant com
binations of self-energies, vertices and boxes that contribute all the diff
erent observables. We find that the logarithmic contribution due to the ren
ormalization group running of the various couplings is numerically overwhel
med by single and double logarithmic terms of purely electroweak (Sudakov-t
ype) origin, whose separate relative effects grow with energy, reaching the
10% size at about 1 TeV. We then propose a simple "effective" parametrizat
ion that aims at describing the various observables in the TeV region, and
discuss its validity both beyond and below 1 TeV, in particular in the expe
cted energy range of future linear electron-positron (LC) and muon-muon col
liders.