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Precise numerical evaluation of the two loop sunrise graph Master Integrals in the equal mass case

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arxiv hep-ph/0505041 v1 pith:4RMHBFZ5 submitted 2005-05-06 hep-ph

Precise numerical evaluation of the two loop sunrise graph Master Integrals in the equal mass case

classification hep-ph
keywords arbitrarycaseequalevaluationgraphintegralsmassmaster
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present a double precision routine in Fortran for the precise and fast numerical evaluation of the two Master Integrals (MIs) of the equal mass two-loop sunrise graph for arbitrary momentum transfer in d=2 and d=4 dimensions. The routine implements the accelerated power series expansions obtained by solving the corresponding differential equations for the MIs at their singular points. With a maximum of 22 terms for the worst case expansion a relative precision of better than a part in 10^{15} is achieved for arbitrary real values of the momentum transfer.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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    hep-ph 2026-07 accept novelty 6.0

    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.

  3. All planar three-loop Feynman integrals for the production of two vector bosons at hadron colliders

    hep-ph 2025-12 accept novelty 6.0

    All nine planar three-loop four-point integral families for two massive external legs are cast into canonical differential equations and evaluated numerically, completing the set needed for leading-colour N3LO diboson...