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arxiv: hep-th/0509233 · v1 · submitted 2005-09-30 · ✦ hep-th · hep-ph

Geometrical methods in loop calculations and the three-point function

A.I. Davydychev This is my paper
classification ✦ hep-th hep-ph
keywords functiongeometricalthree-pointanalyticalcalculatecalculationsconsideredcontinuation
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A geometrical way to calculate N-point Feynman diagrams is reviewed. As an example, the dimensionally-regulated three-point function is considered, including all orders of its epsilon-expansion. Analytical continuation to other regions of the kinematical variables is discussed.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Recurrence Relations and Dispersive Techniques for Precision Multi-Loop Calculations

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    Connects recurrence techniques and dispersive methods with dimension shifts to reduce multi-point functions to two-point basis, minimizing dispersive integrals for one- and two-loop calculations.