Abstract

The LHC is now studying in detail the couplings of the Higgs boson in order to determine if there is new physics. Many recent studies have examined the available fits to Higgs couplings from the perspective of constraining two Higgs doublet models (2HDM). In this paper we extend those studies to include constraints on the one loop couplings of the Higgs to gluons and photons. These couplings are particularly sensitive to the existence of new colored particles that are hard to detect otherwise and we use them to constrain a 2HDM augmented with a color-octet scalar, a possibility motivated by minimal flavor violation. We first study theoretical constraints on this model and then compare them with LHC measurements.

Highlights

  • In this paper we combine these two extensions of the SM and consider a two Higgs doublet model with an additional scalar octet as in MW

  • In this paper we extend those studies to include constraints on the one loop couplings of the Higgs to gluons and photons. These couplings are sensitive to the existence of new coloured particles that are hard to detect otherwise and we use them to constrain a 2HDM augmented with a colour-octet scalar, a possibility motivated by minimal flavour violation

  • As observed in ref. [15], the only possible extensions of the scalar sector that do not transform under the flavour group and that satisfy minimal flavour violation are electroweak doublets that are colour singlets or colour octets and this motivates our choice for this model

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Summary

The model

The model we discuss in this paper is an extension of the type I and type II two Higgs doublet models. Our starting point will be more modest, consisting of the CP conserving, two Higgs doublet model with a discrete symmetry Φ1 → −Φ1 that is only violated softly by dimension two terms. Our starting point will be more modest, consisting of the CP conserving, two Higgs doublet model with a discrete symmetry Φ1 → −Φ1 that is only violated softly by dimension two terms1 To this starting block we can add the most general, renormalizable potential that describes the couplings of the colour octet S to the two colour singlets (Φ1, Φ2) as well as the self interactions of the colour octet. Corresponding to the usual two Higgs doublet model couplings plus the interactions of the fermions with the colour octet.

Minimal Flavour Violation
Custodial symmetry
Unitarity and stability constraints
Tree-level Higgs decay
Direct bounds on the colour octet
Numerical study
Two Higgs doublet model parameters
Parameters that mix the 2HDM sector with the colour-octet sector
Loop-induced Higgs decay
Summary and conclusions
Full Text
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