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Higgs Boson Sector of the Next-to-MSSM with CP Violation
High Energy Physics - Phenomenology · Submitted 8 Jun 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Substantial modifications to the allowed parameter space happen because of the changes to the Higgs-boson spectrum and their couplings with the RG-improved corrections.
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The abstract, sentence by sentence
We perform a comprehensive study of the Higgs sector in the framework of the next-to-minimal supersymmetric standard model with CP-violating parameters in the superpotential and in the soft-supersymmetry-breaking sector. Since the CP is no longer a good symmetry, the two CP-odd and the three CP-even Higgs bosons of the next-to-minimal supersymmetric standard model in the CP-conserving limit will mix. We show explicitly how the mass spectrum and couplings to gauge bosons of the various Higgs bosons change when the CP-violating phases take on nonzero values. We include full one-loop and the logarithmically enhanced two-loop effects employing the renormalization-group (RG) improved approach. In addition, the LEP limits, the global minimum condition, and the positivity of the square of the Higgs-boson mass have been imposed. We demonstrate the effects on the Higgs-mass spectrum and the couplings to gauge bosons with and without the RG-improved corrections. Substantial modifications to the allowed parameter space happen because of the changes to the Higgs-boson spectrum and their couplings with the RG-improved corrections. Finally, we calculate the mass spectrum and couplings of the few selected scenarios and compare to the previous results in literature where possible; in particular, we illustrate a scenario motivated by electroweak baryogenesis.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We perform a comprehensive study of the Higgs sector in the framework of the next-to-minimal supersymmetric standard model with CP-violating parameters in the superpotential and in the soft-supersymmetry-breaking sector. | contribution 1.00 | 0.96 | 0.06 | asserted 0.96 |
| s1 | Since the CP is no longer a good symmetry, the two CP-odd and the three CP-even Higgs bosons of the next-to-minimal supersymmetric standard model in the CP-conserving limit will mix. | background 0.94 | 0.16 | 0.09 | asserted 1.00 |
| s2 | We show explicitly how the mass spectrum and couplings to gauge bosons of the various Higgs bosons change when the CP-violating phases take on nonzero values. | contribution 0.82 | 0.94 | 0.12 | asserted 1.00 |
| s3 | We include full one-loop and the logarithmically enhanced two-loop effects employing the renormalization-group (RG) improved approach. | method 0.99 | 0.94 | 0.04 | asserted 1.00 |
| s4 | In addition, the LEP limits, the global minimum condition, and the positivity of the square of the Higgs-boson mass have been imposed. | method 0.97 | 0.78 | 0.03 | asserted 0.99 |
| s5 | We demonstrate the effects on the Higgs-mass spectrum and the couplings to gauge bosons with and without the RG-improved corrections. | contribution 0.64 | 0.94 | 0.12 | asserted 1.00 |
| s6 | Substantial modifications to the allowed parameter space happen because of the changes to the Higgs-boson spectrum and their couplings with the RG-improved corrections. | result 0.87 | 0.88 | 0.35 | asserted 1.00 |
| s7 | Finally, we calculate the mass spectrum and couplings of the few selected scenarios and compare to the previous results in literature where possible; in particular, we illustrate a scenario motivated by electroweak baryogenesis. | contribution 0.77 | 0.96 | 0.17 | asserted 0.99 |
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The paper
Original abstract
We perform a comprehensive study of the Higgs sector in the framework of the next-to-minimal supersymmetric standard model with CP-violating parameters in the superpotential and in the soft-supersymmetry-breaking sector. Since the CP is no longer a good symmetry, the two CP-odd and the three CP-even Higgs bosons of the next-to-minimal supersymmetric standard model in the CP-conserving limit will mix. We show explicitly how the mass spectrum and couplings to gauge bosons of the various Higgs bosons change when the CP-violating phases take on nonzero values. We include full one-loop and the logarithmically enhanced two-loop effects employing the renormalization-group (RG) improved approach. In addition, the LEP limits, the global minimum condition, and the positivity of the square of the Higgs-boson mass have been imposed. We demonstrate the effects on the Higgs-mass spectrum and the couplings to gauge bosons with and without the RG-improved corrections. Substantial modifications to the allowed parameter space happen because of the changes to the Higgs-boson spectrum and their couplings with the RG-improved corrections. Finally, we calculate the mass spectrum and couplings of the few selected scenarios and compare to the previous results in literature where possible; in particular, we illustrate a scenario motivated by electroweak baryogenesis.
Human review
References
How the literature uses it
25 arXiv papers cite this in 36 sentences
Papers citing it · 17 sentences without a confident label
Uses its method or tool 3 papers
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For the calculation of the Higgs-boson masses and mixing matrix $O_αi$ in the presence of CP-violating parameters in the superpotential and in the soft-supersymmetry-breaking sector, we adopt the renormalization-group (RG) improved approach by including the full one-loop and the logarithmically enhanced two-loop effects [ref] .
Higgs Mediated EDMs in the Next-to-MSSM: An Application to Electroweak Baryogenesis · Higgs sector in the NMSSM with CP violation · 1.00
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Following the Refs. [ref] , we define the various vacua as follows: [equation] where $v_S^in$ is the prescribed $v_S$.
Vacuum structure and stability of a singlet fermion dark matter model with a singlet scalar messenger · Tree level analysis · 0.88
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Following the Refs. [ref] , we define the various vacua as follows: [equation]
Higgs Portal Vector Dark Matter : Revisited · Vacuum stability and perturbativity of Higgs quartic couplings · 0.92
Cites it as support 2 papers
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However, several studies have shown that even when these two-loop effects are taken into account, the phase $ϕ^'_κ$ is very weakly constrained by the fermionic EDMs [ref] , especially for smaller values of $|κ|$.
Dark Matter in the CP-violating NMSSM · The electric dipole moments of fermions · 0.99
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The reason for choosing $ϕ^'_κ$ as the only variable phase, while setting $θ_1/2$, $θ_f̃$ and $ϕ^'_λ$ to $0^∘$, is that it is virtually unconstrained by the measurements of fermionic EDMs [ref] .
Two Higgs bosons near 125 GeV in the complex NMSSM and the LHC Run-I data · Numerical analysis · 0.96
Cites it as background 12 papers
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Leading one-loop, full one-loop and leading two-loop contributions were presented in [ref] where the $$ renormalisation scheme was applied, except for [ref] , which also applied a mixed $$-on-shell (OS) renormalisation scheme.
Higgs Mass Predictions in the CP-Violating High-Scale NMSSM · Introduction · 0.91
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After the neutral components of the two Higgs doublets and the singlet develop their vacuum-expectation-values (VEVs), one may have three rephasing-invariant combinations of the $CP$-odd phases in the tree-level potential [ref] : [equation] where $ϕ^'_λ≡ϕ_λ+θ+φ$ and $ϕ^'_κ≡ϕ_κ+3φ$ with $θ$ and $φ$ parameterizing the overall $CP$ phases of the doublet $H_u$ and the singlet $S$, respectively.
Singlino-driven Electroweak Baryogenesis in the Next-to-MSSM · Introduction · 0.84
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The full one-loop and logarithmically enhanced two-loop effects are available in the renormalisation group improved approach [ref] .
Higher Order Corrections to the Trilinear Higgs Self-Couplings in the Real NMSSM · Introduction · 0.91
What it cites · 23 sentences without a confident label
Uses the method or tool of 1 paper
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We have adopted the algorithm suggested in Ref. [ref] , which incorporates the effects of the RG improvement and minimizes the two-loop corrections.
Approximating the radiatively corrected Higgs mass in the Minimal Supersymmetric Model · Higgs sector at the one-loop level · 1.00
Uses data or values from 2 papers
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On the scenarios under consideration in this section, we have imposed the following three conditions: * the LEP limits [ref] , * the global minimum condition requiring that the electroweak vacuum chosen by fixing the values of $tanβ$ and $v_S$ is the global minimum of the RG-improved effective potential, and * the positiveness of the Higgs masses squared, $M_H^2>0$, abandoning the parameter space in which one or more of the Higgs states become tachyonic.
Search for Neutral MSSM Higgs Bosons at LEP · Numerical analysis · 0.88
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The vertical solid line denotes the chargino mass limit, $m_χ̃^±>104$ GeV [ref] .
Search for Chargino and Neutralino Production at sqrt(s) = 192-209 GeV at LEP · A typical scenario · 0.98
Compares with 3 papers
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We make comparisons, where possible, with other RG-improved calculations without CP phases [ref] and the one-loop calculations including CP phases but without the RG improvement [ref] .
NMHDECAY: A Fortran Code for the Higgs Masses, Couplings and Decay Widths in the NMSSM · Numerical analysis · 1.00
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We make comparisons, where possible, with other RG-improved calculations without CP phases [ref] and the one-loop calculations including CP phases but without the RG improvement [ref] .
The Higgs sector in the Next-to-MSSM · Numerical analysis · 1.00
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We have taken $|λ|=0.3$ and $|κ|=0.1$ for comparisons with the results presented in [ref] , though this point has been ruled out by the LEP limits taking into account the RG improvement.
The Higgs Sector of the Next-to-Minimal Supersymmetric Standard Model · A typical scenario · 0.96
Cites as background 5 papers
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An extension with an extra singlet superfield, known as the next-to-minimal supersymmetric standard model (NMSSM) [ref] was motivated to provide a natural solution to the $μ$ problem.
Radiative Corrections to the Neutral Higgs Spectrum in Supersymmetry with a Gauge Singlet · Introduction · 0.89
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An extension with an extra singlet superfield, known as the next-to-minimal supersymmetric standard model (NMSSM) [ref] was motivated to provide a natural solution to the $μ$ problem.
The Next-to-Minimal Supersymmetric Standard Model · Introduction · 0.89
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An extension with an extra singlet superfield, known as the next-to-minimal supersymmetric standard model (NMSSM) [ref] was motivated to provide a natural solution to the $μ$ problem.
Explicit $CP$ Violation of the Higgs Sector in the Next-to-Minimal Supersymmetric Standard Model · Introduction · 0.89
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