D-dimensional unitarity cut method

Details D-dimensional unitarity cut method D-dimensional unitarity cut method

2006-09-19

arxiv.org/abs/hep-ph/0609191v2

Phys.Lett.B645:213-216,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages. v2: references changed

Scientific paper

10.1016/j.physletb.2006.12.022

We develop a unitarity method to compute one-loop amplitudes with massless propagators in d=4-2*epsilon dimensions. We compute double cuts of the loop amplitudes via a decomposition into a four-dimensional and a -2*epsilon-dimensional integration. The four-dimensional integration is performed using spinor integration or other efficient techniques. The remaining integral in -2*epsilon dimensions is cast in terms of bubble, triangle, box, and pentagon master integrals using dimensional shift identities. The method yields results valid for arbitrary values of epsilon.

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