Exponentiation of Multiparticle Amplitudes in Scalar Theories

Details Exponentiation of Multiparticle Amplitudes in Scalar Theories Exponentiation of Multiparticle Amplitudes in Scalar Theories

1994-07-26

arxiv.org/abs/hep-ph/9407381v1

Phys.Rev.D50:7553-7569,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

Revtex 3.0, 45 pages, 11 figures (some requires bezier.sty, two postscript figures appended after \end{document}), INR-866/94

Scientific paper

10.1103/PhysRevD.50.7553

It is argued that the amplitudes of the production of $n$ soft scalar particles by one or a few energetic ones in theories like $\lambda\phi^4$ has the exponential form, $A_n\propto\sqrt{n!}\exp[{1\over\lambda}F(\lambda n,\epsilon)]$, in the regime $\lambda\to 0$, $\lambda n={fixed}$, $\epsilon={fixed}$, where $\epsilon$ is the typical kinetic energy of outgoing particles. Existing results support this conjecture. Several new analytical and numerical results in favor of the exponential behavior of multiparticle amplitudes are presented.

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