Abstract
We obtain lower bounds for cross sections (total and differential) which are of the form of integral constraints, and which contain no unknown constants and that are valid at finite energies (and not only asymptotically). The information that we use to obtain the bounds may be of three different types (giving three different kinds of bounds): a few low energy parameters; a few low energy parameters plus experimental information on a given wave (the D wave); or one unphysical parameter that may be obtained from other sources (field theoretical calculations with soft pion techniques). The comparison of the bounds with experiment is also discussed.
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