Effective theories of universal theories

Abstract

It is well-known but sometimes overlooked that constraints on the oblique parameters (most notably $S$ and $T$ parameters) are generally speaking only applicable to a special class of new physics scenarios known as universal theories. In the effective field theory (EFT) framework, the oblique parameters should not be associated with Wilson coefficients in a particular operator basis, unless restrictions have been imposed on the EFT so that it describes universal theories. We work out these restrictions, and present a detailed EFT analysis of universal theories. We find that at the dimension-6 level, universal theories are completely characterized by 16 parameters. They are conveniently chosen to be: 5 oblique parameters that agree with the commonly-adopted ones, 4 anomalous triple-gauge couplings, 3 rescaling factors for the $h^3$, $hff$, $hVV$ vertices, 3 parameters for $hVV$ vertices absent in the Standard Model, and 1 four-fermion coupling of order $y_f^2$. All these parameters are defined in an unambiguous and basis-independent way, allowing for consistent constraints on the universal theories parameter space from precision electroweak and Higgs data.

40 pages + appendix and references, 8 tables

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Cited by in corpus (48)

• The Standard Model as an Effective Field Theory
• Compilation of low-energy constraints on 4-fermion operators in the SMEFT
• On the Validity of the Effective Field Theory Approach to SM Precision Tests
• A Global Likelihood for Precision Constraints and Flavour Anomalies
• The Universal One-Loop Effective Action
• CoDEx: Wilson coefficient calculator connecting SMEFT to UV theory
• Low-energy phenomenology of scalar leptoquarks at one-loop accuracy
• Complete One-Loop Matching for a Singlet Scalar in the Standard Model EFT
• Model independent constraints on four-lepton operators
• Scheming in the SMEFT... and a reparameterization invariance!
• Top-Quark Physics at the CLIC Electron-Positron Linear Collider
• $\mathbf{C}\mathbf{P}$ violation in Higgs-gauge interactions: from tabletop experiments to the LHC
• Probing Electroweak Precision Physics via boosted Higgs-strahlung at the LHC
• Time to Go Beyond Triple-Gauge-Boson-Coupling Interpretation of $W$ Pair Production
• Model-Independent Determination of the Triple Higgs Coupling at $e^{+}{e}^{-}$ Colliders
• Diboson at the LHC vs LEP
• Parton distributions in the SMEFT from high-energy Drell-Yan tails
• Electric Dipole Moments in Natural Supersymmetry
• Dimension-six electroweak top-loop effects in Higgs production and decay
• Precision Probes of QCD at High Energies
• Flavourful SMEFT likelihood for Higgs and electroweak data
• The $\hat{H}$-Parameter: An Oblique Higgs View
• Higgs physics confronts the $M_W$ anomaly
• $A_{FB}$ in the SMEFT: precision Z physics at the LHC
• Learning from Radiation at a Very High Energy Lepton Collider
• Probing top-quark couplings indirectly at Higgs factories
• Standard Model parameters in the tadpole-free pure $\overline{\mathrm{MS}}$ scheme
• Adding Flavor to the SMEFT
• Beta-decay implications for the W-boson mass anomaly
• Hilbert Series and Plethystics: Paving the path towards 2HDM- and MLRSM-EFT
• Renormalization group evolution of the universal theories EFT
• Impact of dimension-eight SMEFT operators in the EWPO and Triple Gauge Couplings analysis in Universal SMEFT
• Precision SMEFT bounds from the VBF Higgs at high transverse momentum
• New Physics at Tera-$Z$: Precision Renormalised
• Singlet night in Feynman-ville: one-loop matching of a real scalar
• Spinning Sum Rules for the Dimension-Six SMEFT
• Probing Top-quark Operators with Precision Electroweak Measurements
• Revisiting $\mathbf{Vh}(\to \mathbf{b}\bar{\mathbf{b}})$ at the LHC and FCC-hh
• Comments on gauge anomalies at dimension-six in the Standard Model Effective Field Theory
• Exploring the Flavor Symmetry Landscape
• Dimension-eight Operator Basis for Universal Standard Model Effective Field Theory
• Two Paths Towards Precision at a Very High Energy Lepton Collider
• Custodial Symmetry (Violation) in SMEFT
• Oblique corrections when $m_W\ne m_Z\cos {\theta }_W$ at tree level
• General form of effective operators from hidden sectors
• Round table on Standard Model Anomalies
• Tailored PDFs for New Physics searches
• Drell-Yan production in universal theories beyond dimension-six SMEFT