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Two-Loop master integrals for heavy-to-light form factors of two different massive fermions

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arxiv 1801.01033 v3 pith:GXH5ESKD submitted 2018-01-02 hep-ph

classification hep-ph
keywords integralsmasterfactorsfermionsformheavy-to-lightmassivetwo-loop
verification ladder T0 review T1 audit T2 compute T3 formal

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We calculate the full set of the two-loop master integrals for heavy-to-light form factors of two different massive fermions for arbitrary momentum transfer in NNLO QCD or QED corrections. These integrals allow to determine the two-loop QCD or QED corrections to the amplitudes for heavy-to-light form factors of two massive fermions in a full analytical way, without any approximations. The analytical results of the master integrals are derived using the method of differential equations, along with a proper choosing of canonical basis for the master integrals. All the results of master integrals are expressed in terms of Goncharov polylogarithms.

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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. Towards NNLO QCD predictions for off-shell top-quark pair production and decays

    hep-ph 2025-07 conditional novelty 8.0 of 10

    The first NNLO QCD prediction for off-shell W+W-bbbar production with massive bottom quarks at the LHC, using a double-pole approximation for the two-loop virtual and an on-shell matching for non-factorisable corrections.

  2. Three loop master integrals for ${\mathcal{O}} (\alpha \alpha_s^2)$ corrections to quark form factor

    hep-ph 2025-06 conditional novelty 6.0 of 10

    The authors derive analytic expressions for all 303 three-loop master integrals with one massive propagator appearing in the mixed QCD-electroweak corrections to the quark form factor, expressed through generalized po...

  3. HandyG -- rapid numerical evaluation of generalised polylogarithms in Fortran

    hep-ph 2019-09 accept novelty 4.0 of 10

    A Fortran implementation of the Vollinga-Weinzierl algorithm evaluates generalised polylogarithms up to weight five quickly enough for Monte Carlo integration.

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