Abstract
An upper bound on the partially integrated inclusive cross section is obtained at high energy from unitarity and analyticity assumptions which are to be expected for a two-body scattering amplitude that satisfies the Mandelstam representation. This result is analogous to the fixed-angle bound on two-body scattering amplitudes derived by Kinoshita, Loeffel and Martin. The bound leads to strong constraints on the average multiplicity, the average transverse momentum and the total cross section; in particular 〈n〉〈p T〉σ T 1 2 ⩽ const( ln s) 2 ( ln ln s) 1 2 . According to this, the energy dependence of average multiplicity and average transverse momentum favors logarithmic growth, at most.
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