$W$-Boson Mass, Electroweak Precision Tests and SMEFT

Abstract

Recently the CDF collaboration at the Tevatron reported a significant discrepancy between the direct measurement of the $W$-boson mass and its Standard Model (SM) prediction based on electroweak precision tests (EWPTs). In this paper we explore the potential origin of this discrepancy from physics beyond the SM. Explicitly, we work on a set of six-dimensional operators in the SM effective field theory (SMEFT) which are relevant to the EWPTs. By fitting to the data, we demonstrate that an upward shift in $m_W$ is driven by the operator $\mathcal{O}_{T}=\frac{1}{2}(H^{\dagger}\overset{\text{$\leftrightarrow$}}{D}_μH)^2$ with a coefficient $c_T(\mathrm{TeV}/\Lambda {)}^2\gtrsim 0.01$. This suggests that the new physics scale favored by the CDF data should be multiple TeV for tree-level effects and sub TeV for loop-level effects. One simple example is to introduce a hypercharge-free electroweak triplet scalar which can raise the $c_T$ value at tree level. We also study the potential to further test the relevant SMEFT by measuring Higgs-coupling, $m_W$ and other EWPTs at future circular $e^{-}{e}^{+}$ colliders.

8 pages, 3 figures, version accepted by PRD for publication

References in corpus (7)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Illuminating Dark Photons with High-Energy Colliders
• Delta r and the W-boson mass in the Singlet Extension of the Standard Model
• Measurement of the W Boson Mass with the D0 Detector
• Improved Bhabha cross section at LEP and the number of light neutrino species
• Interdependence of the new "MUON G-2" Result and the $W$-Boson Mass

Cited by in corpus (10)

• A leptoquark and vector-like quark extended model for the simultaneous explanation of the $W$ boson mass and muon $g-2$ anomalies
• New physics interpretation of $W$-boson mass anomaly
• The CDF W-mass, muon g-2, and dark matter in a $U(1{)}_{L_{\mu }-L_{\tau }}$ model with vector-like leptons
• $Z$ boson mixing and the mass of the $W$ boson
• The $W\ell \nu$-vertex corrections to W-boson mass in the R-parity violating MSSM
• An alternative gauged $U(1{)}_R$ symmetric model in light of the CDF II $W$ boson mass anomaly
• $E_6$ Models in Light of Precision $M_W$ Measurements
• Higgs Quadruplet Impact on $W$ Mass Shift, Dark Matter, and LHC Signatures
• Oblique corrections when $m_W\ne m_Z\cos {\theta }_W$ at tree level
• Accommodating the CDF W-boson Mass Measurement in the Beautiful Mirror Model