Precise predictions for $h_{a} \to h_{b} h_{c}$ decays in the complex MSSM

Complete one-loop results for the decay widths of neutral Higgs bosons ( ha ) into lighter neutral Higgs bosons ( hb,hc ) are presented for the MSSM with complex parameters. The results are obtained in the Feynman-diagrammatic approach, taking into account the full dependence on the spectrum of supersymmetric particles and all complex phases of the supersymmetric parameters. The genuine triple-Higgs vertex contributions are supplemented with two-loop propagator-type corrections, yielding the currently most precise prediction for this class of processes. The genuine vertex corrections turn out to be very important, yielding a large increase of the decay width compared to a prediction based on the tree-level vertex. The new results are used to analyse the impact of the experimental limits from the LEP Higgs searches on the parameter space with a very light MSSM Higgs boson. It is found that a significant part of the parameter space of the CPX benchmark scenario exists where channels involving the decay h2→h1h1 have the highest search sensitivity, and the existence of an unexcluded region with Mh1≈45 GeV is confirmed.

Higgs particle: cascade decay
Higgs particle: width
Higgs particle: branching ratio
Feynman graph: higher-order
minimal supersymmetric standard model
sparticle: spectrum
vertex function: (3Higgs particle)
correction: vertex
Higgs particle: decay modes
fermion: pair production

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Precise predictions for ha→hbhch_{a} \to h_{b} h_{c}ha​→hb​hc​ decays in the complex MSSM

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Precise predictions for $h_{a} \to h_{b} h_{c}$ decays in the complex MSSM