The analytic properties of the box diagram amplitude. II.

J. S. Frederiksen, W. S. Woolcock

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Abstract

A spectral representation is obtained for the box diagram amplitude for both real and complex values of the kinematical invariants s and t. By starting with a particular normal threshold spectral representation obtained in a previous paper [1] and analytically continuing in the external masses and then in s and t, the various forms of the spectral representation are obtained for all possible mass configurations involving externally stable particles. In particular, a spectral representation is established for all s in the upper half-complex-plane and for almost all real t.

Original languageEnglish
Pages (from-to)86-117
Number of pages32
JournalAnnals of Physics
Volume80
Issue number1
DOIs
Publication statusPublished - 1973
Externally publishedYes

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