Abstract
We consider the Minimal Supersymmetric extension of the Standard Model in the regime where the supersymmetric breaking scale is extremely large. In this MSSM, not only the Higgs masses will be affected by large radiative corrections, the dominant part of which is provided by the third generation quark/squark sector, but also the various self-couplings among the Higgs states. In this note, assuming that squarks are extremely heavy, we evaluate the next-to-leading order radiative corrections to the two neutral CP-even Higgs self-couplings λHhh and λhhh and to the partial decay width Γ(H→hh) that are most relevant at the LHC. The calculation is performed using an effective field theory approach that resums the large logarithmic squark contributions and allows to keep under control the perturbative expansion. Since the direct loop vertex corrections are generally missing in this effective approach, we have properly renormalised the effective theory to take them into account. Finally, we perform a comparison of the results in this effective MSSM with those obtained in a much simpler way in the so-called hMSSM approach in which the mass value for the lightest Higgs boson Mh=125 GeV is used as an input. We show that the hMSSM provides a reasonably good approximation of the corrected self-couplings and H→hh decay rate and, hence, it can be used also in these cases.
Highlights
Dedicated analyses of the data collected at the LHC have so far shown excellent agreement between the observed 125 GeV Higgs boson [1] and the scalar particle that is predicted in the Standard Model (SM) of particle physics [2]
We have considered the neutral Higgs boson self-couplings λhhh and λHhh and performed a comparison of their predicted values in both the hMSSM and an effective Minimal Supersymmetric Standard Model (MSSM) approaches, in a regime where the SUSY scale MSUSY is extremely large
The use of an effective MSSM theory instead of the full MSSM is necessary at very high MSUSY as large logarithmic corrections involving this scale and corresponding to the squark masses appear and need to be resummed in order to obtain reliable results
Summary
Dedicated analyses of the data collected at the LHC have so far shown excellent agreement between the observed 125 GeV Higgs boson [1] and the scalar particle that is predicted in the Standard Model (SM) of particle physics [2]. In the hMSSM approach, the effects of the large logarithmic corrections are captured in the neutral Higgs masses and mixing angle but, there the genuine vertex corrections should be included In this brief note, we combine EFT methods and fixed-order calculations to derive the next-to-leading order (NLO) corrections to the two neutral triple CP–even Higgs couplings λhhh and λHhh and the rate of the decay mode H → hh that are most relevant at the LHC. We combine EFT methods and fixed-order calculations to derive the next-to-leading order (NLO) corrections to the two neutral triple CP–even Higgs couplings λhhh and λHhh and the rate of the decay mode H → hh that are most relevant at the LHC These are first evaluated in an effective MSSM obtained from matching the full MSSM to an effective two–Higgs doublet model (2HDM) below the scale MSUSY (where the squarks have been integrated out) and that we renormalise to obtain ultraviolet finite results. To compute these one-loop observables our renormalisation program has been implemented in the SloopS code [15, 16], to perform our numerical investigation, to which we turn
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