### 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 |
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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

Frederiksen, J. S., & Woolcock, W. S. (1973). The analytic properties of the box diagram amplitude. II.

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