Asymptotic behavior of the fermion and gluon exchange amplitudes in massive quantum electrodynamics in the Regge limit

Sen, Ashoke (1983) Asymptotic behavior of the fermion and gluon exchange amplitudes in massive quantum electrodynamics in the Regge limit Physical Review D - Particles, Fields, Gravitation and Cosmology, 27 (12). pp. 2997-3026. ISSN 1550-7998

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Official URL: http://prd.aps.org/abstract/PRD/v27/i12/p2997_1

Related URL: http://dx.doi.org/10.1103/PhysRevD.27.2997

Abstract

We study the e+e→γγ amplitude in massive quantum electrodynamics in the large-s and fixed-t limit. We compute the amplitude in the leading-logarithm and the next-to-the-leading-logarithm approximations, to all orders in perturbation theory, and also find the general form of the full amplitude up to any non-leading-logarithm approximation. We do not use any transverse-momentum cutoff for our calculation. We find that, up to the next-to-the-leading-logarithm approximation, the contribution to the positive-signature amplitude is given by a single Regge pole. We find the contribution to the Regge trajectory up to two-loop order. The contribution to the negative-signature channel is consistent with the exchange of a gluon and a Reggeized fermion, interacting with each other through a fourpoint Reggeon vertex. The technique we have used to calculate the fermion exchange amplitude may also be used to calculate the vector-particle exchange amplitude in massive quantum electrodynamics. We have calculated the gluon exchange amplitude in massive QED in the positive- and the negative-signature channels in the leading-logarithm approximation.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:44144
Deposited On:20 Jun 2011 12:52
Last Modified:20 Jun 2011 12:52

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