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MATAD: a program package for the computation of MAssive TADpoles

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arxiv hep-ph/0009029 v1 pith:JA3X67GC submitted 2000-09-04 hep-ph

classification hep-ph
keywords packagedescribedintegralsprogramvacuumapplicationbeencalculations
verification ladder T0 review T1 audit T2 compute T3 formal
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In the recent years there has been an enormous development in the evaluation of higher order quantum corrections. An essential ingredient in the practical calculations is provided by vacuum diagrams, i.e. integrals without external momenta. In this paper a program package is described which can deal with one-, two- and three-loop vacuum integrals with one non-zero mass parameter. The principle structure is introduced and the main parts of the package are described in detail. Explicit examples demonstrate the fields of application.

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Cited by 4 Pith papers

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

  1. Three-loop corrections to the Fermi decay constant in the $\overline{\rm{MS}}$ scheme

    hep-ph 2025-07 conditional novelty 7.0 of 10

    The leading three-loop corrections to the Fermi decay constant in the pure MS scheme are computed, shifting the Standard Model Higgs VEV down by about 3.5 MeV and cutting residual scale dependence to below 2e-6.

  2. Region analysis of $H\to \gamma \gamma $ via a bottom quark loop

    hep-ph 2025-01 conditional novelty 6.0 of 10

    A two-loop region analysis of H to gamma gamma via a bottom quark loop shows that with a Delta regulator and a transverse momentum cut, the leading and next-to-leading logarithms come entirely from the soft sector.

  3. Three-loop form factors for Higgs boson pair production in the large top mass limit

    hep-ph 2019-09 accept novelty 6.0 of 10

    New 1/m_t^2 expansion terms, up to 1/m_t^8 for the box form factors and 1/m_t^14 for the triangle form factor, are computed for the three-loop gg to HH amplitude.

  4. The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements

    hep-ph 2019-08 conditional novelty 5.0 of 10

    The authors recompute the T_F-proportional pieces of the polarized three-loop QCD anomalous dimensions using massive operator matrix elements and find full agreement with the published 2014 results.

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