Interdependence of the new "MUON G-2" Result and the $W$-Boson Mass

Abstract

The electroweak (EW) sector of the Minimal Supersymmetric extension of the Standard Model (MSSM), assuming the lightest neutralino as Dark Matter (DM) candidate, can account for a variety of experimental results. In particular it can account for the discrepancy between the experimental result for the anomalous magnetic moment of the muon, $(g-2{)}_{\mu }$, and its Standard Model (SM) prediction. The new "MUON G-2" result, combined with the older BNL result on $(g-2{)}_{\mu }$, yields a deviation from the SM prediction of $\Delta a_{\mu }=(25.1\pm 5.9)\times 10^{-10}$, corresponding to $4.2\sigma$. Using this updated bound, together with the other constraints, we calculate the MSSM prediction for the mass of the $W$ boson, $M_W$. We assume contributions only from the EW sector, with the colored sector of the MSSM taken to be heavy. We investigate five scenarios, distinguished by the mechanisms which yield a relic DM density in agreement with the latest Planck bounds. We find that with the new $(g-2{)}_{\mu }$ result taken into account and depending on the scenario, values up to $M_W^{\mathrm{MSSM}}\lesssim 80.376\mathrm{GeV}$ are reached. The largest values are obtained for wino DM and in the case of slepton co-annihilation, where points well within the $1\sigma$ range of the experimental world average of $M_W^{\exp }=80.379\pm 0.012\mathrm{GeV}$ are reached, whereas the SM predicts a too small value of $M_W^{\mathrm{SM}}=80.353\mathrm{GeV}$. We analyze the dependence of $M_W^{\mathrm{MSSM}}$ on the relevant masses of the EW superpartners and demonstrate that future $M_W$ measurements, e.g. at the ILC, could distinguish between various MSSM realizations. Sizable contributions to $M_W^{\mathrm{MSSM}}$ are associated with a relatively light ${\tilde{\chi }}_1^0$, accompanied by either a light chargino or a light smuon, setting interesting targets for future collider searches.

26 pages, 7 figures; v2: slight modification to text and note added in relation to the recent CDF MW measurement

References in corpus (41)

• micrOMEGAs2.0: a program to calculate the relic density of dark matter in a generic model
• The $g-2$ of charged leptons, $\alpha (M_Z^2)$ and the hyperfine splitting of muonium
• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• HiggsSignals-2: Probing new physics with precision Higgs measurements in the LHC 13 TeV era
• New physics explanations of $a_{\mu }$ in light of the FNAL muon $g-2$ measurement
• The muon $g$-2 and $\Delta \alpha$ connection
• Electroweak two-loop corrections to the effective weak mixing angle
• Single Scale Tadpoles and O(GF mt^2 as^3) Corrections to the rho Parameter
• Four-Loop QCD Corrections to the Rho Parameter
• Supersymmetric Interpretation of the Muon $g-2$ Anomaly
• GUT-scale constrained SUSY in light of E989 muon g-2 measurement
• GUT-constrained supersymmetry and dark matter in light of the new $(g-2{)}_{\mu }$ determination
• The new "MUON G-2" Result and Supersymmetry
• Anomalous muon magnetic moment, supersymmetry, naturalness, LHC search limits and the landscape
• Impact of Vacuum Stability Constraints on the Phenomenology of Supersymmetric Models
• Tests of the Standard Model at the International Linear Collider
• A common origin of muon g-2 anomaly, Galaxy Center GeV excess and AMS-02 anti-proton excess in the NMSSM
• Wino-Higgsino dark matter in the MSSM from the $g-2$ anomaly
• What Fermilab $(g-2{)}_{\mu }$ experiment tells us about discovering SUSY at HL-LHC and HE-LHC
• Muon $g-2$ and Co-annihilating Dark Matter in the MSSM
• On Constraints Between $\Delta {\alpha }_{\mathrm{had}}(M_Z^2)$ and $(g_{\mu }-2{)}_{\mathrm{HVP}}$
• Heavy Bino and Slepton for Muon g-2 Anomaly
• Improved $(g-2{)}_{\mu }$ Measurements and Wino/Higgsino Dark Matter
• Electron and muon magnetic moments and implications for dark matter and model characterisation in non-universal $U(1{)}^{\prime }$ supersymmetric models
• The new $(g-2{)}_{\mu }$ result and the $\mu \nu$SSM
• Muon g-2 and CP violation in MSSM
• Constraining CP-phases in SUSY: an interplay of muon/electron $g-2$ and electron EDM
• Mixed modulus and anomaly mediation in light of the muon $g-2$ anomaly
• Improved $(g-2{)}_{\mu }$ measurement and singlino dark matter in $\mu$-term extended ${\mathbb{Z}}_3$-NMSSM
• Resolving the $(g-2{)}_{\mu }$ Discrepancy with $\mathcal{F}$-$SU$(5) Intersecting D-branes
• Muon $g-2$ Anomaly in Anomaly Mediation
• Dark matter, fine-tuning and $(g-2{)}_{\mu }$ in the pMSSM
• Sparticle Spectroscopy at LHC-Run3 and LSP Dark Matter in light of Muon g-2
• Improved $(g-2{)}_{\mu }$ Measurements and Supersymmetry : Implications for $e^{+}{e}^{-}$ colliders
• Future searches for SUSY at the LHC post Fermilab $(g-2{)}_{\mu }$
• SUSY Dark Matter Direct Detection Prospects based on $(g-2{)}_{\mu }$
• Low energy supersymmetry confronted with current experiments: an overview
• Simple BSM explanations of $a_{\mu }$ in light of the FNAL muon $g-2$ measurement
• A Minimal Dark Matter Model for Muon g-2 with Scalar Lepton Partners up to the TeV Scale
• New fermions in the light of the $(g-2{)}_{\mu }$
• Twisted Superfields

Cited by in corpus (14)

• Low energy SUSY confronted with new measurements of W-boson mass and muon g-2
• Singlet extensions and W boson mass in the light of the CDF II result
• Excesses in the low-mass Higgs-boson search and the W-boson mass measurement
• $M_W$, Dark Matter and $a_{\mu }$ in the NMSSM
• $W$-Boson Mass, Electroweak Precision Tests and SMEFT
• Minimal model for the $W$-boson mass, $(g-2{)}_{\mu }$, $h\to {\mu }^{+}{\mu }^{-}$ and quark-mixing-matrix unitarity
• The $W\ell \nu$-vertex corrections to W-boson mass in the R-parity violating MSSM
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• Global fits of SUSY at future Higgs factories
• $W-$mass and Muon $g-2$ in Inert 2HDM Extended by Singlet Complex Scalar
• Status of ${\mathbb{Z}}_3$-NMSSM featuring a light bino-dominated LSP and a light singlet-like scalar under the LZ Experiment
• HL-LHC sensitivity to higgsinos from natural SUSY with gravitino LSP
• Rare Higgs Decay into a Photon and a Z Boson in Radiatively-Driven Natural Supersymmetry
• SMEFT Analysis of $m_W$