Multiparticle Threshold Amplitudes Exponentiate in Arbitrary Scalar Theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages, latex, 3 latex figures

Scientific paper

Threshold amplitudes are considered for $n$-particle production in arbitrary
scalar theory. It is found that, like in $\phi ^4$, leading-$n$ corrections to
the tree level amplitudes, being summed over all loops, exponentiate. This
result provides more evidence in favor of the conjecture on the exponential
behavior of the multiparticle amplitudes.

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