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Effective Multi-Higgs Couplings to Gluons
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abstract
Standard-Model Higgs bosons are dominantly produced via the gluon-fusion mechanism $gg \to H$ at the LHC, i.e. in a loop-mediated process with top loops providing the dominant contribution. For the measured Higgs boson mass of $\sim 125$ GeV the limit of heavy top quarks provides a reliable approximation as long as the relative QCD corrections are scaled with the full mass-dependent LO cross section. In this limit the Higgs coupling to gluons can be described by an effective Lagrangian. The same approach can also be applied to the coupling of more than one Higgs boson to gluons. We will derive the effective Lagrangian for multi-Higgs couplings to gluons up to N$^4$LO thus extending previous results for more than one Higgs boson. Moreover we discuss gluonic Higgs couplings up to NNLO, if several heavy quarks contribute.
Forward citations
Cited by 3 Pith papers
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Fully differential Higgs boson pair production at N$^3$LO with top quark mass effects
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%.
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Beyond Scale Variations: Perturbative Theory Uncertainties from Nuisance Parameters
A framework that turns missing higher-order perturbative coefficients into fit-able theory nuisance parameters, giving correlated and statistically meaningful theory uncertainties.
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Three-loop form factors for Higgs boson pair production in the large top mass limit
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.
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