The Threshold Expansion of the 2-loop Sunrise Selfmass Master Amplitudes

Abstract

The threshold behavior of the master amplitudes for two loop sunrise self-mass graph is studied by solving the system of differential equations, which they satisfy. The expansion at the threshold of the master amplitudes is obtained analytically for arbitrary masses.

1+18 pages, Latex, no figures, as in Journal reference with more changes in Eq.(31),(42),(45)

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• The analytical values of the sunrise master integrals for one of the masses equal to zero
• Dispersive calculation of the massless multi-loop sunrise diagram
• Numerical evaluation of the general massive 2-loop self-mass master integrals from differential equations