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Differential Equations for the 2-Loop Equal Mass Sunrise

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arxiv hep-ph/0310332 v1 pith:C2WIETJB submitted 2003-10-29 hep-ph

E. Remiddi This is my paper · ORCID
classification hep-ph
keywords differentialequalequationsloopsunriseanalyticarbitrarycoefficients
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abstract

The differential equations for the 2-loop sunrise graph, at equal masses but arbitrary momentum transfer, are used for the analytic evaluation of the coefficients of its Laurent-expansion in the continuous dimension $d$.

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  1. First look at the evaluation of two-loop Feynman integrals for radiative return processes

    hep-ph 2026-07 accept novelty 6.0 of 10

    Planar two-loop four-point master integrals for massive radiative-return QED, including elliptic and nested-root sectors, are reduced to polynomial-in-ε differential equations that evaluate stably in the physical region.

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