Abstract
The Higgs invisible decay width may soon become a powerful tool to probe extensions of the Standard Model with dark matter candidates at the Large Hadron Collider. In this work, we calculate the next-to-leading order (NLO) electroweak corrections to the 125 GeV Higgs decay width into two dark matter particles. The model is the next-to-minimal 2-Higgs-doublet model (N2HDM) in the dark doublet phase, that is, only one doublet and the singlet acquire vacuum expectation values. We show that the present measurement of the Higgs invisible branching ratio, BR(H → invisible < 0.11), does not lead to constraints on the parameter space of the model at leading order. This is due to the very precise measurements of the Higgs couplings but could change in the near future. Furthermore, if NLO corrections are required not to be unphysically large, no limits on the parameter space can be extracted from the NLO results.
Highlights
We show that the present measurement of the Higgs invisible branching ratio, BR(H → invisible < 0.11), does not lead to constraints on the parameter space of the model at leading order
We will focus on a specific phase of the next-to-minimal 2-Higgs-doublet model (N2HDM) with a scalar sector consisting of two complex doublets and one real singlet
The attractive point of the dark doublet phase (DDP) is that, differently from the inert doublet model (IDM), the Higgs couplings are modified from the SM by the mixing of two Higgs boson states and at the same time DM candidates are involved in the model
Summary
We discuss the renormalization scheme used in the calculation of the oneloop corrections to the Higgs boson Hi (i = 1, 2) decay into a pair of DM particles, which we assume to be HD, unless otherwise stated, Hi → HDHD. This section focuses on the renormalization of the scalar and gauge sectors. The renormalization of the fermion sector as well as any treatment of infrared divergence is not necessary for this particular process. We perform the renormalization of the Higgs sector in the DDP of the N2HDM according to the procedure presented in ref. [58] for the broken phase of the N2HDM. Most of the parameters in the Higgs sector of the DDP are common with those of the broken phase, we describe the renormalization of all parameters in order to make the paper self-contained
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