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$gg\rightarrow HH$ amplitude induced by bottom quarks at two-loop level: planar master integrals

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arxiv 2503.10051 v3 pith:VYSCMT4Z submitted 2025-03-13 hep-ph

Zhenghong Hu , Tao Liu , Jin Min Yang This is my paper · ORCID
classification hep-ph
keywords bottomintegralsmasteramplitudelevelmassorderplanar
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We consider the two-loop amplitude of $gg\rightarrow HH$ mediated by bottom quarks, which provides a correction of percent level at leading order in the low invariant mass region. In order to compute the corresponding master integrals, we perform an expansion for the bottom quark mass, using the method of differential equations and fixing the boundary constants by a numerical approach. The results of 177 planar master integrals which are expressed in terms of multiple polylogarithms are provided.

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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. Fully differential Higgs boson pair production at N$^3$LO with top quark mass effects

    hep-ph 2026-01 conditional novelty 7.0 of 10

    First fully differential N3LO QCD predictions for gg->hh in the heavy-top limit, with NLO top-mass effects added; heavy-top scale uncertainty shrinks about 3x, to roughly 1-3%.

  2. Double logarithmic contribution to Higgs pair production in the high-energy limit

    hep-ph 2025-09 conditional novelty 6.0 of 10

    The authors derive the first three-loop abelian double-logarithmic coefficient for the box diagrams of gg to hh in the high-energy limit, after confirming one- and two-loop terms against the literature.

  3. NNLO+PS Double Higgs boson production with top-quark mass corrections in GENEVA

    hep-ph 2025-07 conditional novelty 6.0 of 10

    First NNLO+parton-shower simulation of double Higgs production in GENEVA that includes approximate finite top-quark mass corrections (FTapprox), validated against MATRIX.

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