Numerical evaluation of the general massive 2-loop 4-denominator self-mass master integral from differential equations

Abstract

The differential equation in the external invariant p^2 satisfied by the master integral of the general massive 2-loop 4-denominator self-mass diagram is exploited and the expansion of the master integral at p^2=0 is obtained analytically. The system composed by this differential equation with those of the master integrals related to the general massive 2-loop sunrise diagram is numerically solved by the Runge-Kutta method in the complex p^2 plane. A numerical method to obtain results for values of p^2 at and close to thresholds and pseudo-thresholds is discussed in details.

Latex, 20 pages, 7 figures

References in corpus (1)

• Evaluation of two-loop self-energy basis integrals using differential equations

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