Modern Feynman Diagrammatic One-Loop Calculations

Details Modern Feynman Diagrammatic One-Loop Calculations Modern Feynman Diagrammatic One-Loop Calculations

2010-11-30

arxiv.org/abs/1011.6632v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 2 figures; contribution to the proceedings of the CPP2010 Workshop, 23-25 Sep. 2010, KEK, Tsukuba, Japan

Scientific paper

In this talk we present techniques for calculating one-loop amplitudes for multi-leg processes using Feynman diagrammatic methods in a semi-algebraic context. Our approach combines the advantages of the different methods allowing for a fast evaluation of the amplitude while monitoring the numerical stability of the calculation. In phase space regions close to singular kinematics we use a method avoiding spurious Gram determinants in the calculation. As an application of our approach we report on the status of the calculation of the amplitude for the process $pp\to b\bar{b}b\bar{b}+X$.

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