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arxiv: 2511.11537 · v2 · submitted 2025-11-14 · ✦ hep-ph · hep-th

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Two-loop all-plus helicity amplitudes for self-dual Higgs boson with gluons via unitarity cut constraints

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classification ✦ hep-ph hep-th
keywords amplitudesrationaltwo-loopall-plusbosongluonshelicityhiggs
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We present the two-loop amplitudes for a self-dual Higgs boson with up to four positive helicity gluons in the heavy top-quark limit. Because the tree amplitudes in the all-plus sector vanish, we can construct simple representations of the polylogarithmic parts of the two-loop amplitudes using four-dimensional unitarity cuts into rational one-loop and tree amplitudes. The remaining rational function ambiguity is extracted from a tensor integral reduction over finite fields. The final expressions are presented using polylogarithms up to weight two and compact rational functions of spinor-helicity products.

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Cited by 2 Pith papers

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    hep-th 2026-05 conditional novelty 7.0

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