Multidimensional Phase Space and Sunset Diagrams

Details Multidimensional Phase Space and Sunset Diagrams Multidimensional Phase Space and Sunset Diagrams

2001-01-23

arxiv.org/abs/hep-th/0101148v2

J.Math.Phys.42:5553-5564,2001

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, RevTex. 2 minor algebraic corrections to page 4 after eqns (6) and (8)

Scientific paper

10.1063/1.1416887

We derive expressions for the phase-space of a particle of momentum $p$ decaying into $N$ 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.

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