Evaluation of Multi-Box Diagrams in Six Dimensions

Abstract

We present a simple method which simplifies the evaluation of the on-shell multiple box diagrams reducing them to triangle type ones. For the $L$-loop diagram one gets the expression in terms of Feynman parameters with $2L$-fold integration. As examples we consider the 2 and 3 loops cases, the numerical integration up to six loops is also presented. The method is valid in six dimensions where neither UV not IR divergences appear.

8 pages, 5 figures, PdfLatex

References in corpus (5)

• Resolution of singularities for multi-loop integrals
• On the Resolution of Singularities of Multiple Mellin-Barnes Integrals
• Spinor Helicity and Dual Conformal Symmetry in Ten Dimensions
• Dual Conformal Properties of Six-Dimensional Maximal Super Yang-Mills Amplitudes
• On the amplitudes in N=(1,1) D=6 SYM

Cited by in corpus (1)

• On the calculation of soft phase space integral