Reduction of one-massless-loop with scalar boxes in $n+2$ dimensions

Details Reduction of one-massless-loop with scalar boxes in $n+2$ dimensions Reduction of one-massless-loop with scalar boxes in $n+2$ dimensions

2009-03-10

arxiv.org/abs/0903.1719v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages

Scientific paper

All one-massless-loop Feynman diagrams could be written like a linear combination of scalar boxes, triangles an bubbles in $n$ dimensions plus rational terms. However, the four-point scalar integrals in $n+2$ dimensions are free of infrared divergences. We are going to change the dimensions of the scalar boxes $n \to n+2$ and the using of this degree of freedom to simplify the computation of coefficients of the decomposition.

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