Froissart Bounds for Amplitudes and Cross Sections at High Energies
  High-energy behavior of total cross sections is discussed in experiment and theory. Origin and meaning of the Froissart bounds are described and explained. Violation of the familiar log-squared bound appears to not violate unitarity (contrary to the common opinion), but correspond to rapid high-energy increase of the amplitude in nonphysical regions. 
Ya. I. Azimov
hep-ph hep-ex hep-th nucl-ex nucl-th