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

Abstract

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.

17 pages

References in corpus (11)

• Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills
• Calculating Scattering Amplitudes Efficiently
• On the Rational Terms of the one-loop amplitudes
• The Cut-Constructible Part of QCD Amplitudes
• Numerical integration of one-loop Feynman diagrams for N-photon amplitudes
• On Triple-Cut of Scattering Amplitudes
• Unitarity Cuts with Massive Propagators and Algebraic Expressions for Coefficients
• Algebraic evaluation of rational polynomials in one-loop amplitudes
• One-loop Integral Coefficients from Generalized Unitarity
• Six-Photon Amplitudes in Scalar QED
• Light-by-light scattering amplitudes from generalized unitarity in massive QED