M. Caffo, H. Czyz, E. Remiddi
Published 2002-11-12Version 1
The 4-th order Runge-Kutta method in the complex plane is proposed for numerically advancing the solutions of a system of first order differential equations in one external invariant satisfied by the master integrals related to a Feynman graph. The particular case of the general massive 2-loop sunrise self-mass diagram is analyzed. The method offers a reliable and robust approach to the direct and precise numerical evaluation of master integrals.
Comments: Latex, 5 pages, 4 ps-figures, uses included npb.sty, presented at RADCOR 2002 and Loops and Legs in Quantum Field Theory, 8-13 September 2002, Kloster Banz, Germany
Journal: Nucl.Phys.Proc.Suppl. 116 (2003) 422-426
Numerical evaluation of some master integrals for the 2-loop general massive self-mass from differential equations
The $ρ$ parameter at three loops and elliptic integrals
Master integrals for ${\cal O}(αα_s)$ corrections to $H \to ZZ^*$
