- and 
-scattering are considered. Polarization effects in Compton
scattering are considered. Differential and total cross sections
of photons by polarized leptons scattering are calculated and
discussed. The formulae are obtained in the Lorentz-invariant form
without any approximation. They can be used at any kinematic
conditions. The polarized asymmetry of processes unpolarized
photons scattering as well as polarized ones are obtained.
Numerical analysis is realized at energy and kinematic conditions
of ILC.
Key words: polarized asymmetry, electroweak photon-lepton interaction, quartic boson interaction
