Minkowski space structure of the Higgs potential in 2HDM

By Igor P. Ivanov. 2006

247 citations recorded by the source corpus.

The Higgs potential of 2HDM keeps its generic form under the group of transformation $GL(2,C)$, which is larger than the usually considered reparametrization group $SU(2)$. This reparametrization symmetry induces the Minkowski space structure in the orbit space of 2HDM. Exploiting this property, we present a geometric analysis of the number and properties of stationary points of the most general 2HDM potential. In particular, we prove that charge-breaking and neutral vacua never coexist in 2HDM and establish conditions when the most general explicitly $CP$-conserving Higgs potential has spontaneously $CP$-violating minima. We also define the prototypical model of a given 2HDM, which has six free parameters less than the original one but still contains all the essential physics. Our analysis avoids manipulation with high-order algebraic equations.

View Paper: https://www.semanticscholar.org/paper/96f73f4c0c70847b52a96d18be509ad28c90d54b

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1. Igor P. Ivanov
2. P. S. Bhupal Dev
3. K. Kannike
4. A. Pilaftsis
5. Yi-Fu Cai
6. F. Deppisch
7. P. Bolton
8. D. Bodeker

Citations in the corpus

• Metastability bounds on the two Higgs doublet model (2013, unknown): “Following the notation of [26, 27] and the conventions of eq.”
• Building and testing models with extended Higgs sectors (2017, methodology): “In [322], Ivanov, Keus, and Vdovin developed a linear-algebraic approach based on the so-called Smith normal forms to identify all possible Abelian symmetry groups which can be imposed on the NHDM scalar sector without producing accidental symmetries.”
• Maximally symmetric two Higgs doublet model with natural standard model alignment (2014, background): “J H E P 1 2 ( 2 0 1 4 ) 0 2 4 previous list of six symmetries reported in [31], where possible custodial symmetries of the theory were not included.”
• Scrutinizing the alignment limit in two-Higgs-doublet models: m h = 125 GeV (2015, unknown): “possibility of stable charge-breaking minima [42,43].”
• Vacuum stability of a general scalar potential of a few fields (2016, background): “The symmetries of the potential may restrict the variables to a more complicated space such as the ‘future light cone’ orbit space of the two Higgs doublet model (2HDM) [14, 15, 16, 17] or the similar orbit spaces of the 3HDM [18] and NHDM [19].”