The analytic properties of the box diagram amplitude. II.

J. S. Frederiksen, W. S. Woolcock

Research output: Contribution to journalArticleOther

4 Citations (Scopus)

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

Cite this

Frederiksen, J. S. ; Woolcock, W. S. / The analytic properties of the box diagram amplitude. II. In: Annals of Physics. 1973 ; Vol. 80, No. 1. pp. 86-117.
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The analytic properties of the box diagram amplitude. II. / Frederiksen, J. S.; Woolcock, W. S.

In: Annals of Physics, Vol. 80, No. 1, 1973, p. 86-117.

Research output: Contribution to journalArticleOther

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AB - 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.

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