New representation of the two-loop crossed vertex function

Abstract

We calculate the two-loop vertex function for the crossed topology, and for arbitrary masses and external momenta. We derive a double integral representation, suitable for a numerical evaluation by a Gaussian quadrature. Real and imaginary parts of the diagram can be calculated separately.

16 pages, latex, uses epsfig, amstex, amssymb. Replacement has typo corrected, references updated

References in corpus (5)

• Simple one-dimensional integral representations for two-loop self-energies: the master diagram
• New results for two-loop off-shell three-point diagrams
• Calculation of Feynman Diagrams from their Small Momentum Expansion
• Heavy-Higgs Lifetime at Two Loops
• AN ALGORITHM FOR SMALL MOMENTUM EXPANSION OF FEYNMAN DIAGRAMS

Cited by in corpus (10)

• Electroweak two-loop corrections to the effective weak mixing angle
• Adaptive Integrand Decomposition in parallel and orthogonal space
• Two-Loop Vertices in Quantum Field Theory: Infrared Convergent Scalar Configurations
• Two-Loop Tensor Integrals in Quantum Field Theory
• Numerical multi-loop integrals and applications
• Numerical Contour Integration for Loop Integrals
• An easy way to solve two-loop vertex integrals
• Dispersion Approach in Two-Loop Calculations
• Evaluating massive planar two-loop tensor vertex integrals
• Recurrence Relations and Dispersive Techniques for Precision Multi-Loop Calculations