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Analytical and numerical methods for massive two-loop self-energy diagrams

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arxiv hep-ph/9409388 v2 pith:5PE6YI44 submitted 1994-09-22 hep-ph

S. Bauberger , F. A. Berends , M. Boehm , M. Buza This is my paper · ORCID
classification hep-ph
keywords diagramsfunctionsintegralsmassivenumericalresultsself-energytwo-loop
verification ladder T0 review T1 audit T2 compute T3 formal
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Motivated by the precision results in the electroweak theory studies of two-loopFeynman diagrams are performed. Specifically this paper gives a contribution to the knowledge of massive two-loop self-energy diagrams in arbitrary and especially four dimensions.This is done in three respects firstly results in terms of generalized, multivariable hypergeometric functions are presented giving explicit series for small and large momenta. Secondly the imaginary parts of these integrals are expressed as complete elliptic integrals.Finally one-dimensional integral representations with elementary functions are derived.They are very well suited for the numerical evaluations.

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Cited by 3 Pith papers

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

  1. Fermionic Electroweak Two-Loop Corrections to Drell-Yan and Related Processes

    hep-ph 2025-12 conditional novelty 7.0 of 10

    The full NNLO electroweak corrections with closed fermion loops to e+e- → ffbar (and Drell-Yan) were calculated semi-numerically and found to modify NLO cross-sections by about 1%.

  2. Higher-Order Corrections to Higgs Boson Amplitudes with Full Quark Mass Dependence in Quantum Chromodynamics

    hep-ph 2019-08 conditional novelty 7.0 of 10

    The thesis computes three-loop and two-loop QCD corrections to Higgs processes with full quark mass dependence, including a new analytic series-expansion treatment of elliptic two-loop master integrals for Higgs-plus-...

  3. TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses

    hep-ph 2019-08 conditional novelty 5.0 of 10

    TVID 2 computes all master integrals for planar three-loop self-energy diagrams with two closed fermion loops using at most two-dimensional numerical integrations.

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