Special case of sunset: reduction and epsilon-expansion

Abstract

We consider two loop sunset diagrams with two mass scales m and M at the threshold and pseudotreshold that cannot be treated by earlier published formula. The complete reduction to master integrals is given. The master integrals are evaluated as series in ratio m/M and in epsilon with the help of differential equation method. The rules of asymptotic expansion in the case when q^2 is at the (pseudo)threshold are given.

LaTeX, 13 pages, 1 figure

References in corpus (3)

• MS vs. Pole Masses of Gauge Bosons: Electroweak Bosonic Two-Loop Corrections
• The analytic value of the sunrise self-mass with two equal masses and the external invariant equal to the third squared mass
• The analytical values of the sunrise master integrals for one of the masses equal to zero

Cited by in corpus (9)

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• Three-loop on-shell Feynman integrals with two masses
• 2-loop QCD corrections to Bc-meson leptonic constant
• On the two-loop contributions to the pion mass
• Matching the heavy-quark fields in QCD and HQET at four loops