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Title: Higgs Bosons in the Two-Doublet Model Involving CP Violation

Abstract

An effective two-doublet Higgs potential that involves complex-valued parameters and whose CP invariance is violated both explicitly and spontaneously is considered. The problem of diagonalizing the mass term of this potential at a local minimum is solved. The eigenstates of Higgs bosons and their mass spectrum are obtained for the special case of the two-doublet Higgs sector of the minimal supersymmetric model, where the CP invariance of the effective potential is violated owing to the interactions of the Higgs fields with the third-generation scalar quarks.

Authors:
;  [1];  [2]
  1. Samara State University, ul. Akademika Pavlova 1, Samara, 443011 (Russian Federation)
  2. Institute of Nuclear Physics, Moscow State University, Vorob'evy gory, Moscow, 119899 (Russian Federation)
Publication Date:
OSTI Identifier:
20692906
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Atomic Nuclei; Journal Volume: 68; Journal Issue: 11; Other Information: Translated from Yadernaya Fizika, ISSN 0044-0027, 68, 1913-1927 (No. 11, 2005); DOI: 10.1134/1.2131115; (c) 2005 Pleiades Publishing, Inc; Country of input: International Atomic Energy Agency (IAEA); TN:
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CP INVARIANCE; EIGENSTATES; HIGGS BOSONS; HIGGS MODEL; MASS SPECTRA; POTENTIALS; QUARKS; SCALARS; STANDARD MODEL; SUPERSYMMETRY

Citation Formats

Akhmetzyanova, E.N., Dolgopolov, M.V., and Dubinin, M.N. Higgs Bosons in the Two-Doublet Model Involving CP Violation. United States: N. p., 2005. Web. doi:10.1134/1.2131115.
Akhmetzyanova, E.N., Dolgopolov, M.V., & Dubinin, M.N. Higgs Bosons in the Two-Doublet Model Involving CP Violation. United States. doi:10.1134/1.2131115.
Akhmetzyanova, E.N., Dolgopolov, M.V., and Dubinin, M.N. Tue . "Higgs Bosons in the Two-Doublet Model Involving CP Violation". United States. doi:10.1134/1.2131115.
@article{osti_20692906,
title = {Higgs Bosons in the Two-Doublet Model Involving CP Violation},
author = {Akhmetzyanova, E.N. and Dolgopolov, M.V. and Dubinin, M.N.},
abstractNote = {An effective two-doublet Higgs potential that involves complex-valued parameters and whose CP invariance is violated both explicitly and spontaneously is considered. The problem of diagonalizing the mass term of this potential at a local minimum is solved. The eigenstates of Higgs bosons and their mass spectrum are obtained for the special case of the two-doublet Higgs sector of the minimal supersymmetric model, where the CP invariance of the effective potential is violated owing to the interactions of the Higgs fields with the third-generation scalar quarks.},
doi = {10.1134/1.2131115},
journal = {Physics of Atomic Nuclei},
number = 11,
volume = 68,
place = {United States},
year = {Tue Nov 01 00:00:00 EST 2005},
month = {Tue Nov 01 00:00:00 EST 2005}
}
  • We consider the effective two-Higgs-doublet potential with complex parameters, when the CP invariance is broken both explicitly and spontaneously. The diagonal mass term in the local minimum of the potential is constructed for the physical basis of Higgs fields, keeping explicitly the limiting case of CP conservation, if the parameters are taken real. For the special case of the two-doublet Higgs sector of the minimal supersymmetric model, when CP invariance is violated by the Higgs bosons interaction with scalar quarks of the third generation, we calculate by means of the effective potential method the Higgs boson masses and evaluate themore » two-fermion Higgs boson decay widths and the widths of rare one-loop-mediated decays H{yields}{gamma}{gamma}, H{yields}gg.« less
  • We carry out a detailed analysis of the general two Higgs doublet model with CP violation. We describe two different parametrizations of this model, and then study the Higgs boson masses and the trilinear Higgs couplings for these two parametrizations. Within a rather general model, we find that the trilinear Higgs couplings have a significant dependence on the details of the model, even when the lightest Higgs boson mass is taken to be a fixed parameter. We include radiative corrections in the one-loop effective potential approximation in our analysis of the Higgs boson masses and the Higgs trilinear couplings. Themore » one-loop corrections to the trilinear couplings of the two Higgs doublet model also depend significantly on the details of the model, and can be rather large. We study quantitatively the trilinear Higgs couplings, and show that these couplings are typically several times larger than the corresponding standard model trilinear Higgs coupling in some regions of the parameter space. We also briefly discuss the decoupling limit of the two Higgs doublet model.« less
  • Spontaneous CP violation motivates the introduction of two Higgs doublets in the electroweak theory, such a simple extension of the standard model has five physical Higgs bosons and rich CP-violating sources. Exploration on more than one Higgs boson is a direct evidence for new physics beyond the standard model. The neutral Higgs production at LHC is investigated in such a general two-Higgs-doublet model with spontaneous CP violation, it is shown that the production cross section and decays of the neutral Higgs boson can significantly be different from the predictions from the standard model.
  • In the most general two-Higgs-doublet model with an approximate family symmetry and [ital CP] violation originating solely from the relative phase of two vacuum expectation values, [ital CP] asymmetry in the decay [ital b][r arrow][ital s][gamma] may arise from the [ital CP] violation of the charged Higgs boson interactions with fermions. This asymmetry may be larger than in the standard model and can lie between 10[sup [minus]2] and 10[sup [minus]1]. The decay rate of [ital b][r arrow][ital s][gamma] is allowed to be smaller or larger than in the standard model.
  • In a general two-scalar-doublet model without fermions, there is a unique source of {ital CP} violation, {ital J}{sub 1}, in the gauge interactions of the scalars. It arises in the mixing of the three neutral physical scalars {ital X}{sub 1}, {ital X}{sub 2}, and {ital X}{sub 3}. $CP--- violation may be observed via different decay rates for {ital X}{sub 1}{r_arrow}{ital H}{sup +}{ital W}{sup {minus}} and {ital X}{sub 1}{r_arrow}{ital H}{sup {minus}}{ital W}{sup +} (or, alternatively, for {ital H}{sup +}{r_arrow}{ital X}{sub 1}{ital W}{sup +} and {ital H}{sup {minus}}{r_arrow}{ital X}{sub 1}{ital W}{sup {minus}}, depending on which decays are kinematically allowed). I compute themore » part of those {ital CP}-violating decay-rate differences which is proportional to {ital J}{sub 1}. The {ital CP}-invariant phase is provided by the absorptive parts of the one-loop diagrams. I check the gauge invariance of the whole calculation.« less