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Locally finite two-loop QCD amplitudes from IR universality for electroweak production

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arxiv 2212.12162 v1 pith:R75XIGBL submitted 2022-12-23 hep-ph hep-th

classification hep-phhep-th
keywords numbersubtractionstwo-loopamplitudeselectroweakinfraredintegrationuniversality
verification ladder T0 review T1 audit T2 compute T3 formal
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We describe the implementation of infrared subtractions for two-loop QCD corrections to quark-antiquark annihilation to electroweak final states. The subtractions are given as form-factor integrands whose integrals are known. The resulting subtracted amplitudes are amenable to efficient numerical integration. Our procedure is based on the universality of infrared singularities and requires a relatively limited set of subtractions, whose number grows as the number of two-loop diagrams, rather than with the number of singular regions of integration.

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Cited by 3 Pith papers

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  1. Pseudo-Evanescent Feynman Integrals from Local Subtraction

    hep-th 2026-05 conditional novelty 7.0 of 10

    Local subtraction reduces pseudo-evanescent Feynman integrals to products of one-loop integrals or one-fold integrals, with the finite part of the two-loop all-plus five-point amplitude arising solely from ultraviolet...

  2. General finite two-loop amplitude integrand for photoproduction in quark annihilation

    hep-ph 2025-09 conditional novelty 6.0 of 10

    The paper constructs a locally finite two-loop amplitude integrand for photoproduction in quark annihilation, using momentum-flow symmetrization and an antisymmetric counterterm vertex to remove transient collinear si...

  3. Finite Massless Pentaboxes

    hep-ph 2026-06 unverdicted novelty 5.0 of 10

    Characterizes numerators yielding finite or evanescent massless pentabox integrals, gives compact generators via momentum basis and Gram determinants, and evaluates lowest-rank cases in polylogarithms and pentagon functions.

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