Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-12-15
Nucl.Phys. B681 (2004) 230-246
Physics
High Energy Physics
High Energy Physics - Phenomenology
Latex, 20 pages, 7 figures
Scientific paper
10.1016/j.nuclphysb.2004.01.019
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.
Caffo Michele
Czyz Henryk
Grzelinska Agnieszka
Remiddi Ettore
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