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W mass and Leptonic Z-decays in the NMSSM
High Energy Physics - Phenomenology · Submitted 25 Jan 2011
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim After a brief review of common MSSM-NMSSM effects, e.g. for $\Gamma(Z\to\tau^+\tau^-)/\Gamma(Z\to e^+e^-)-1$, which has been little discussed, even in the MSSM), specific NMSSM scenarios are studied, with the result that the NMSSM, considering existing constraints on its spectrum, is essentially consistent with available measurements, given the current accuracy.
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We study a subset of electroweak-precision observables consisting of $M_W$, $\sin^2\theta_{{\tiny eff}}^{\tau}$, $BR(Z\to\tau^+\tau^-)$ and $\Gamma(Z\to\tau^+\tau^-)/\Gamma(Z\to e^+e^-)-1$ (characterizing leptonic $Z$-decays) in the context of the NMSSM. After a brief review of common MSSM-NMSSM effects, e.g. for $\Gamma(Z\to\tau^+\tau^-)/\Gamma(Z\to e^+e^-)-1$, which has been little discussed, even in the MSSM), specific NMSSM scenarios are studied, with the result that the NMSSM, considering existing constraints on its spectrum, is essentially consistent with available measurements, given the current accuracy.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study a subset of electroweak-precision observables consisting of $M_W$, $\sin^2\theta_{{\tiny eff}}^{\tau}$, $BR(Z\to\tau^+\tau^-)$ and $\Gamma(Z\to\tau^+\tau^-)/\Gamma(Z\to e^+e^-)-1$ (characterizing leptonic $Z$-decays) in the context of the NMSSM. | contribution 1.00 | 0.76 | 0.04 | asserted 0.81 |
| s1 | After a brief review of common MSSM-NMSSM effects, e.g. for $\Gamma(Z\to\tau^+\tau^-)/\Gamma(Z\to e^+e^-)-1$, which has been little discussed, even in the MSSM), specific NMSSM scenarios are studied, with the result that the NMSSM, considering existing constraints on its spectrum, is essentially consistent with available measurements, given the current accuracy. | result 0.92 | 0.80 | 0.92 | hedged possibility 0.74 |
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The paper
Original abstract
We study a subset of electroweak-precision observables consisting of $M_W$, $\sin^2\theta_{{\tiny eff}}^{\tau}$, $BR(Z\to\tau^+\tau^-)$ and $\Gamma(Z\to\tau^+\tau^-)/\Gamma(Z\to e^+e^-)-1$ (characterizing leptonic $Z$-decays) in the context of the NMSSM. After a brief review of common MSSM-NMSSM effects, e.g. for $\Gamma(Z\to\tau^+\tau^-)/\Gamma(Z\to e^+e^-)-1$, which has been little discussed, even in the MSSM), specific NMSSM scenarios are studied, with the result that the NMSSM, considering existing constraints on its spectrum, is essentially consistent with available measurements, given the current accuracy.
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References
How the literature uses it
9 arXiv papers cite this in 17 sentences
Papers citing it · 6 sentences without a confident label
Uses its method or tool 3 papers
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In this paper, we employ the calculation of $M_W$ in the NMSSM that was described in [ref] and which is incorporated within [ref] as the subroutine .
$M_W$, Dark Matter and $a_\mu$ in the NMSSM · $ΔM_W$ in the NMSSM · 1.00
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Precision observables in the NMSSM: We impose the constraints from B-physics and recent results on the anomalous magnetic moment of the muon [ref] , $δM_W$ [ref] as done in $𝙽𝙼𝚂𝚂𝙼𝚃𝚘𝚘𝚕𝚜$ [ref] .
Testing $Z$ boson rare decays $Z\to H_1 \gamma, A_1 \gamma$ with $(g-2)_\mu$, $M_W$, and $BR(h_{\rm SM}\to Z\gamma)$ in the NMSSM · Choice of parameters and constraints · 0.85
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While electroweak precision observables were not included within our fit, predictions for $M_W$ are displayed in Table [ref], using the tools presented in [ref] ; the values given in brackets (in MeV) are estimates of the theoretical uncertainty.
NMSSM interpretations of the observed Higgs signal · Highlight of specific points · 1.00
Cites it as background 6 papers
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Corresponding calculations have been performed in [ref] and references therein for the MSSM, and for the NMSSM in [ref] .
$M_W$, Dark Matter and $a_\mu$ in the NMSSM · Introduction · 0.84
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Detailed studies of the one-loop and the leading two-loop corrections can be found in [ref] .
The ${\cal O}(\alpha_t+\alpha_\lambda+\alpha_\kappa)^2$ Correction to the $\rho$ Parameter and its Effect on the W Boson Mass Calculation in the Complex NMSSM · Numerical Analysis · 1.00
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As we know, the $W$-boson mass can be determined from the muon decay with the relation (see e.g. Ref [ref] ) [equation] which comprises the three precise inputs, the $Z$-boson mass $m_Z$, the Fermi constant $G_μ$, and the fine structure constant $α$.
The $W\ell\nu$-vertex corrections to W-boson mass in the R-parity violating MSSM · The contribution to $m_W$ from the R-parity violating MSSM · 0.89
What it cites · 42 sentences without a confident label
Uses the method or tool of 8 papers
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The new physics contributions to $g_V,A^l,$ were computed (at the $Z$-pole) at the one-loop level according to (see e.g. [ref] ): [equation] where $Γ_V,A(M_Z^2)$ denote the $Zll$ (1PI) vertex corrections at the $Z$-pole, $Σ_V,A^l$ stand for the lepton ($l$) self-energies, $Σ_Z$ and $Σ^γZ$, for the $Z$ and $γZ$ self-energies.
Anomaly of Zbb coupling revisited in MSSM and NMSSM · New Physics contributions to $g_V,A^l,$ · 0.95
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Using eq. 5.7-5.9 of [ref] (with a Higgs mass $M_H^SM=150$ GeV), we obtain $sin^2θ^l,SM_ =0.23164±(0.00015)^±(0.00005)^$.
ZFITTER: a semi-analytical program for fermion pair production in e+e- annihilation, from version 6.21 to version 6.42 · Introduction · 0.89
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This program is then coupled to the NMSSMTools 2.3.2 package [ref] , computing the NMSSM spectrum and checking already several phenomenological constraints: stability of the electroweak vacuum, bounds from LEP [ref] , and in particular the new Aleph limits [ref] [A bug in the corresponding version of the code for the computation of Aleph constraints was replaced by a self-made program.
Search for Neutral MSSM Higgs Bosons at LEP · Numerical results · 0.94
Uses data or values from 4 papers
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The leptonic decay modes $Z→l^+l^-$ are characterized by the experimental branching ratios [ref] : $BR(Z→e^+e^-)^=(3.363±0.004) ·10^-2$ and $BR(Z→τ^+τ^-)^=(3.367±0.008)·10^-2$.
A Combination of Preliminary Electroweak Measurements and Constraints on the Standard Model · Introduction · 1.00
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The current experimental value of $M_W^=80.399±0.023$ GeV originates from a combined fit of LEP and TeVatron measurements [ref] .
Updated Combination of CDF and D0 Results for the Mass of the W Boson · Introduction · 1.00
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In the SM, the EWPOs are currently used to constrain the only unknown free parameter, i.e. the Higgs mass, leading to the result $M_H^SM=76^+33_-44$ GeV ($M_H^SM≤144$ GeV at $95%$ confidence level) [ref] (see also [ref] ).
Combined Electroweak Analysis · Introduction · 0.93
Compares with 1 paper
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We computed these one-loop contributions anew and found agreement with the existing literature (see e.g. [ref] ).
Anomaly of Zbb coupling revisited in MSSM and NMSSM · $M_W$ in the NMSSM · 0.96
Cites as background 9 papers
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In the SM and its extensions, such a decay can also be computed in terms of gauge couplings, which allows to relate $G_μ$ to other electroweak quantities (see e.g. [ref] for a more detailed discussion): [equation] where $α≃1/137.03599911$ is the fine-structure constant. $Δr$ encompasses the (non-QED) loop corrections and is model-dependent.
Precise Prediction for M_W in the MSSM · $M_W$ in the NMSSM · 0.89
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In the following, we will focus on the popular singlet ($ℤ_3$-invariant, minimally CP and flavour-violating) extension of the MSSM, known as the Next-to-Minimal Supersymmetric Standard Model (NMSSM; see [ref] for a review and standard notations for NMSSM parameters).
The Next-to-Minimal Supersymmetric Standard Model · Introduction · 1.00
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Beyond the SM, its simplest (softly-broken) supersymmetric extension, the MSSM, was already thoroughly investigated under the light of EWPOs (see [ref] for comprehensive reviews on the subject): several new contributions are expected, both from the extended Higgs sector and from the supersymmetric sector.
Z Pole Observables in the MSSM · Introduction · 0.98
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