### 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 | |

Publication status | Published - 1973 |

Externally published | Yes |

### Cite this

*Annals of Physics*,

*80*(1), 86-117. https://doi.org/10.1016/0003-4916(73)90320-5

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*Annals of Physics*, vol. 80, no. 1, pp. 86-117. https://doi.org/10.1016/0003-4916(73)90320-5

**The analytic properties of the box diagram amplitude. II.** / Frederiksen, J. S.; Woolcock, W. S.

Research output: Contribution to journal › Article › Other

TY - JOUR

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 - http://www.scopus.com/inward/record.url?scp=49549163023&partnerID=8YFLogxK

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

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

M3 - Article

VL - 80

SP - 86

EP - 117

JO - Annals of Physics

JF - Annals of Physics

SN - 0003-4916

IS - 1

ER -