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# A precision constraint on multi-Higgs-doublet models

(Impact Factor: 2.84). 12/2007; 35(7). DOI: 10.1088/0954-3899/35/7/075001
Source: arXiv

ABSTRACT We derive a general expression for Delta rho (or, equivalently, for the oblique parameter T) in the SU(2) x U(1) electroweak model with an arbitrary number of scalar SU(2) doublets, with hypercharge +-1/2, and an arbitrary number of scalar SU(2) singlets. The experimental bound on Delta rho constitutes a strong constraint on the masses and mixings of the scalar particles in that model.

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##### Article: Search for a 'stable alignment limit' in two Higgs-doublet models
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ABSTRACT: We study the conditions required to make the 2HDM scalar potential stable up to the Planck scale. The lightest CP-even scalar is assumed to have been found at the LHC and the alignment limit is imposed in view of the LHC Higgs data. We find that ensuring stability up to scales 10 10 GeV necessitates the introduction of a soft breaking parameter in the theory. Even then, some interesting correlations between the nonstandard masses and the soft breaking parameter need to be satisfied. Consequently, a 2HDM becomes completely determined by only two nonstandard parameters, namely, tan β and a mass parameter, m0, with tan β 3. These observations make a 2HDM, in the stable alignment limit, more predictive than ever.
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##### Article: Search for a 'stable alignment limit' in two Higgs-doublet models
[Hide abstract]
ABSTRACT: We study the conditions required to make the 2HDM scalar potential stable up to the Planck scale. The lightest CP-even scalar is assumed to have been found at the LHC and the {\em alignment limit} is imposed in view of the LHC Higgs data. We find that ensuring stability up to scales $\gtrsim 10^{10}$~GeV necessitates the introduction of a soft breaking parameter in the theory. Even then, some interesting correlations between the nonstandard masses and the soft breaking parameter need to be satisfied. Consequently, a 2HDM becomes completely determined by only two nonstandard parameters, namely, $\tb$ and a mass parameter, $m_0$, with $\tb \gtrsim 3$. These observations make a 2HDM, in the {\em stable alignment limit}, more predictive than ever.
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