Abstract
The Sudakov method is extended to study the scattering amplitudes in the high-energy and large-momentum-transfer limit. The behaviour of arbitraryφ 3 ladder diagrams in the leading logarithm approximation is reconsidered. This leads to a simple physical picture of the asymptotic behaviour: the leading-term contributions are related to the different paths along which the large momentum is transferred through the ladder diagrams.
Similar content being viewed by others
References
L.V. Gribov, E.M. Levin, M.G. Ryskin: Phys. Rep. 100 (1982) 1
P. Osland, T.T. Wu: Nucl. Phys. B288 (1987) 77, ibid P. Osland, T.T. Wu: Nucl. Phys. B95
M. Bergère, L. Szymanowski: Phys. Lett. B237 (1990) 503; Nucl. Phys. B350 (1991) 82
L. Łukaszuk: Z. Phys. C — Particles and Fields 50 (1991) 133
R. Gastmans, W. Troost: U. Leuven preprint KUL-TF-90/24
K. Symanzik: Progr. Theor. Phys. 20 (1958) 690; N. Nakanishi: Progr. Theor. Phys. Kyoto Suppl. 18 (1961) 1; M. Bergère, Y.-M.P. Lam: CMP 39 (1974) 1; M. Bergère, C. de Calan, A.P.C. Malbouisson: CMP 62 (1978) 137
V.V. Sudakov: ZhETF 30 (1956) 87; V.G. Gorshkov, V.N. Gribov, L.N. Lipatov, G.V. Frolov: Yad. Fiz. 6 (1967) 129
I. Gradstein, J. Ryshik: Tables of series, products and integrals. Nauka (ed.) 1971
P.D.B. Collins: An introduction to Regge theory and high energy physics. Cambridge: Cambridge Univ. Press 1977
Author information
Authors and Affiliations
Additional information
Work supported in part by the Bundesministerium für Forschung und Technologie and by the Polish Ministry of National Education
Rights and permissions
About this article
Cite this article
Kirschner, R., Szymanowski, L. Processes at high energy and large momentum transfer: the momentum-space approach to the asymptotics ofφ 3 ladder diagrams. Z. Phys. C - Particles and Fields 51, 683–688 (1991). https://doi.org/10.1007/BF01565596
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01565596