Two-loop corrections to the ρ parameter in Two-Higgs-Doublet models

Stephan Hessenberger (0000 0001 2375 0603grid.435824.c, Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), Föhringer Ring 6, 80805, Munich, Germany) ; Wolfgang Hollik (0000 0001 2375 0603grid.435824.c, Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), Föhringer Ring 6, 80805, Munich, Germany)

Models with two scalar doublets are among the simplest extensions of the Standard Model which fulfill the relation ρ=1 at lowest order for the ρ parameter as favored by experimental data for electroweak observables allowing only small deviations from unity. Such small deviations Δρ originate exclusively from quantum effects with special sensitivity to mass splittings between different isospin components of fermions and scalars. In this paper the dominant two-loop electroweak corrections to Δρ are calculated in the CP -conserving THDM, resulting from the top-Yukawa coupling and the self-couplings of the Higgs bosons in the gauge-less limit. The on-shell renormalization scheme is applied. With the assumption that one of the CP -even neutral scalars represents the scalar boson observed by the LHC experiments, with standard properties, the two-loop non-standard contributions in Δρ can be separated from the standard ones. These contributions are of particular interest since they increase with mass splittings between non-standard Higgs bosons and can be additionally enhanced by tanβ and λ5 , an additional free coefficient of the Higgs potential, and can thus modify the one-loop result substantially. Numerical results are given for the dependence on the various non-standard parameters, and the influence on the calculation of electroweak precision observables is discussed.

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      "title": "Two-loop corrections to the \u03c1 parameter in Two-Higgs-Doublet models"
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      "value": "Models with two scalar doublets are among the simplest extensions of the Standard Model which fulfill the relation \u03c1=1 at lowest order for the \u03c1 parameter as favored by experimental data for electroweak observables allowing only small deviations from unity. Such small deviations \u0394\u03c1 originate exclusively from quantum effects with special sensitivity to mass splittings between different isospin components of fermions and scalars. In this paper the dominant two-loop electroweak corrections to \u0394\u03c1 are calculated in the CP -conserving THDM, resulting from the top-Yukawa coupling and the self-couplings of the Higgs bosons in the gauge-less limit. The on-shell renormalization scheme is applied. With the assumption that one of the CP -even neutral scalars represents the scalar boson observed by the LHC experiments, with standard properties, the two-loop non-standard contributions in \u0394\u03c1 can be separated from the standard ones. These contributions are of particular interest since they increase with mass splittings between non-standard Higgs bosons and can be additionally enhanced by tan\u03b2 and \u03bb5 , an additional free coefficient of the Higgs potential, and can thus modify the one-loop result substantially. Numerical results are given for the dependence on the various non-standard parameters, and the influence on the calculation of electroweak precision observables is discussed."
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Published on:
21 March 2017
Publisher:
Springer/Società Italiana di Fisica
Published in:
European Physical Journal C (2017)
Issue 3
DOI:
https://doi.org/10.1140/epjc/s10052-017-4734-8
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

Fulltext files: