The Geometric Standard Model Effective Field Theory

Abstract

We develop the geometric formulation of the Standard Model Effective Field Theory (SMEFT). Using this approach we derive all-orders results in the $\sqrt{2⟨H^{†}H⟩}/\Lambda$ expansion relevant for studies of electroweak precision and Higgs data.

25 pages. Typos corrected

References in corpus (25)

• Dimension-Six Terms in the Standard Model Lagrangian
• Renormalization Group Evolution of the Standard Model Dimension Six Operators III: Gauge Coupling Dependence and Phenomenology
• The Standard Model as an Effective Field Theory
• Comment on Higgs Inflation and Naturalness
• Complete Electroweak Chiral Lagrangian with a Light Higgs at NLO
• The Effective Chiral Lagrangian for a Light Dynamical "Higgs Particle"
• The Chiral Approach to the Electroweak Interactions
• A Higgs-Higgs bound state due to New Physics at a TeV
• Low-derivative operators of the Standard Model effective field theory via Hilbert series methods
• Hilbert Series for Constructing Lagrangians: expanding the phenomenologist's toolbox
• A Geometric Formulation of Higgs Effective Field Theory: Measuring the Curvature of Scalar Field Space
• Geometry of the Scalar Sector
• Hilbert series and operator bases with derivatives in effective field theories
• Feynman Rules for the Standard Model Effective Field Theory in $R_{\xi }$-gauges
• On the impact of dimension-eight SMEFT operators on Higgs measurements
• Effective Field Theory Amplitudes the On-Shell Way: Scalar and Vector Couplings to Gluons
• The electroweak effective field theory from on-shell amplitudes
• Constructing effective field theories via their harmonics
• Gauge fixing the Standard Model Effective Field Theory
• Sigma Models with Negative Curvature
• One-loop corrections to $h\to b\bar{b}$ and $h\to \tau \bar{\tau }$ decays in the Standard Model Dimension-6 EFT: four-fermion operators and the large-$m_t$ limit
• Standard Model Extended by a Heavy Singlet: Linear vs. Nonlinear EFT
• NLO corrections to $h\to b\bar{b}$ decay in SMEFT
• Ward Identities for the Standard Model Effective Field Theory
• Effective Field Theories in R_xi gauges

Cited by in corpus (47)

• Dimension-8 Operators in the Standard Model Effective Field Theory
• Top, Higgs, Diboson and Electroweak Fit to the Standard Model Effective Field Theory
• SMEFTsim 3.0 -- a practical guide
• The Standard Model effective field theory at work
• Is SMEFT Enough?
• EWPD in the SMEFT to dimension eight
• Constructing massive on-shell contact terms
• Unitarity Violation and the Geometry of Higgs EFTs
• Geometry-Kinematics Duality
• Exact SMEFT formulation and expansion to $\mathcal{O}(v^4/{\Lambda }^4)$
• Renormalization of the Standard Model Effective Field Theory from Geometry
• Higgs Inflation as Nonlinear Sigma Model and Scalaron as its $\sigma$-meson
• Hilbert Series, the Higgs Mechanism, and HEFT
• On the road(s) to the Standard Model
• Geometry in Scattering Amplitudes
• Consistent higher order $\sigma (\mathcal{G}\mathcal{G}\to h)$, $\Gamma (h\to \mathcal{G}\mathcal{G})$ and $\Gamma (h\to \gamma \gamma )$ in geoSMEFT
• On-shell Higgsing for EFTs
• On-Shell Covariance of Quantum Field Theory Amplitudes
• Frame Covariant Formalism for Fermionic Theories
• A methodology for theory uncertainties in the SMEFT
• Impact of dimension-eight SMEFT operators in the EWPO and Triple Gauge Couplings analysis in Universal SMEFT
• Anomalous couplings in associated $VH$ production with Higgs decay to massive $b$ quarks at NNLO in QCD
• Monolepton production in SMEFT to $\mathcal{O}(1/{\Lambda }^4)$ and beyond
• Computing Tools for Effective Field Theories
• Effective Field Theories on the Jet Bundle
• Electroweak input schemes and universal corrections in SMEFT
• The Feynman rules for the SMEFT in the background field gauge
• The $ggh$ variations
• Unitarity Bounds on Effective Field Theories at the LHC
• Jet Bundle Geometry of Scalar Field Theories
• Effective Field Theories as Lagrange Spaces
• Dimension-8 SMEFT Matching Conditions for the Low-Energy Effective Field Theory
• Double Higgs production at TeV $e^{+}{e}^{-}$ colliders with Effective Field Theories: sensitivity to BSM Higgs couplings
• Primary Observables for Indirect Searches at Colliders
• Matching and running sensitivity in non-renormalizable inflationary models
• The Geometric $\nu$SMEFT: Operators and Connections
• Higgs decays to two leptons and a photon beyond leading order in the SMEFT
• Dirac Masses and Mixings in the (geo)SM(EFT) and Beyond
• Effective Field Theory of the Two Higgs Doublet Model
• Discrete symmetries and Efficient Counting of Operators
• Froggatt-Nielsen Meets the SMEFT
• $h\to gg$ and $h\to \gamma \gamma$ with Anomalous Couplings at Next-to-Leading Order in QCD
• Renormalising the Field-Space Geometry
• Anomalous Higgs boson couplings in weak boson fusion production at NNLO in QCD
• An EWPD SMEFT likelihood for the LHC -- and how to improve it with measurements of W and Z boson properties
• One-loop corrections to ALP couplings
• One-loop corrections to ALP couplings