Abstract

We study, in the spirit of Gribov's Reggeon calculus, a particular nonplanar elastic six-point amplitude which contributes to the helicity-pole limit ($s,{M}^{2}\ensuremath{\rightarrow}\ensuremath{\infty},\frac{s}{{M}^{2}}\ensuremath{\rightarrow}\ensuremath{\infty}, \mathrm{and} t$ fixed) of the single-particle distribution. We find "third double-spectral function" effects analogous to those which appear in 2-2 amplitudes. In particular we find (1) nonsense-triple-Regge-wrong-signature fixed poles, and (2) the triple-Pomeranchukon vertex to be finite at $t=0$ if the slope of the trajectory is nonzero and its intercept unity. In addition, we conjecture an asymptotic link between the high-energy Regge limits of ${\ensuremath{\varphi}}^{3}$ theory amplitudes and the high-energy Regge behavior of dual-tree and dual-loop amplitudes.

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