Multidimensional Phase Space and Sunset Diagrams
High Energy Physics - Theory
2008-11-26 v2
Abstract
We derive expressions for the phase-space of a particle of momentum decaying into particles, that are valid for any number of dimensions. These are the imaginary parts of so-called `sunset' diagrams, which we also obtain. The results are given as a series of hypergeometric functions, which terminate for odd dimensions and are also well-suited for deriving the threshold behaviour.
Cite
@article{arxiv.hep-th/0101148,
title = {Multidimensional Phase Space and Sunset Diagrams},
author = {A. Bashir and R. Delbourgo and M. L. Roberts},
journal= {arXiv preprint arXiv:hep-th/0101148},
year = {2008}
}
Comments
12 pages, RevTex. 2 minor algebraic corrections to page 4 after eqns (6) and (8)