Asymptotic behavior of feynman graphs for quasielastic processes
Teoretičeskaâ i matematičeskaâ fizika, Tome 3 (1970) no. 2, pp. 171-177

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A simple prescription is given for finding the asymptotic behavior of any graph with integral spin in the $t$-channel from its topology for quasielastic small-angle scattering at high energies in the theory $L=g\overline{\psi}\gamma^5\psi\varphi+h\varphi^4$. If the graph has two-particle divisions in the $t$-channel, the recipe is very similar to that obtained, in [1-3] for elastic scattering. The asymptotic behavior of the graph is given by a power of the logarihm of $s$. For the contribution with posifive signature this power is essentially determined by the number of two-panicle divisions in the $t$-channel. “Pinch”-type contributions appear for negative signature. Graphs that do not have two-particle divisions in the $t$-channel decrease asymptotically as a power of $s$.
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     author = {V. M. Budnev and I. F. Ginzburg},
     title = {Asymptotic behavior of feynman graphs for quasielastic processes},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {171--177},
     publisher = {mathdoc},
     volume = {3},
     number = {2},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1970_3_2_a2/}
}
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V. M. Budnev; I. F. Ginzburg. Asymptotic behavior of feynman graphs for quasielastic processes. Teoretičeskaâ i matematičeskaâ fizika, Tome 3 (1970) no. 2, pp. 171-177. http://geodesic.mathdoc.fr/item/TMF_1970_3_2_a2/