Multidimensional Phase Space and Sunset Diagrams

Abstract

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.

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

References in corpus (1)

• Threshold expansion of Feynman diagrams within a configuration space technique

Cited by in corpus (12)

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• Finite calculation of divergent selfenergy diagrams
• Electric Dipole Moments from Post-Sphaleron Baryogenesis
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• Nonlinear wave propagation in large extra spatial dimensions and the blackbody thermal laws