The analytic properties of the box diagram amplitude. II.

J. S. Frederiksen; W. S. Woolcock

doi:10.1016/0003-4916(73)90320-5

The analytic properties of the box diagram amplitude. II.

J. S. Frederiksen
, W. S. Woolcock

Research output: Contribution to journal › Article › Other

7 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 language	English
Pages (from-to)	86-117
Number of pages	32
Journal	Annals of Physics
Volume	80
Issue number	1
DOIs	https://doi.org/10.1016/0003-4916(73)90320-5
Publication status	Published - 1973
Externally published	Yes

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10.1016/0003-4916(73)90320-5

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title = "The analytic properties of the box diagram amplitude. II.",

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.",

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year = "1973",

doi = "10.1016/0003-4916(73)90320-5",

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T1 - The analytic properties of the box diagram amplitude. II.

AU - Frederiksen, J. S.

AU - Woolcock, W. S.

PY - 1973

Y1 - 1973

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/49549163023

U2 - 10.1016/0003-4916(73)90320-5

DO - 10.1016/0003-4916(73)90320-5

M3 - Article

AN - SCOPUS:49549163023

SN - 0003-4916

VL - 80

SP - 86

EP - 117

JO - Annals of Physics

JF - Annals of Physics

IS - 1

ER -

The analytic properties of the box diagram amplitude. II.

Abstract

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