Exact SMEFT formulation and expansion to $\mathcal{O}(v^4/{\Lambda }^4)$

Abstract

The Standard Model Effective Field Theory (SMEFT) theoretical framework is increasingly used to interpret particle physics measurements and constrain physics beyond the Standard Model. We investigate the truncation of the effective-operator expansion using the geometric formulation of the SMEFT, which allows exact solutions, up to mass-dimension eight. Using this construction, we compare the exact solution to the expansion at $\mathcal{O}(v^2/{\Lambda }^2)$, partial $\mathcal{O}(v^4/{\Lambda }^4)$ using a subset of terms with dimension-6 operators, and full $\mathcal{O}(v^4/{\Lambda }^4)$, where $v$ is the vacuum expectation value and $\Lambda$ is the scale of new physics. This comparison is performed for general values of the coefficients, and for the specific model of a heavy U(1) gauge field kinetically mixed with the Standard Model. We additionally determine the input-parameter scheme dependence at all orders in $v/\Lambda$, and show that this dependence increases at higher orders in $v/\Lambda$.

arXiv comment42 pages, 9 figures

References in corpus (38)

• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• 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
• Effective Lagrangian for a light Higgs-like scalar
• Comment on Higgs Inflation and Naturalness
• Patterns of Deviation from the Standard Model
• Spin-Flavor Structure of Large N Baryons
• Dimension-8 Operators in the Standard Model Effective Field Theory
• The SMEFTsim package, theory and tools
• 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
• Towards consistent Electroweak Precision Data constraints in the SMEFT
• On the impact of dimension-eight SMEFT operators on Higgs measurements
• On one-loop corrections in the standard model effective field theory; the $\Gamma (h\to \gamma \gamma )$ case
• Modifications to the Properties of the Higgs Boson
• Higgs decay to two photons at one-loop in the SMEFT
• NLO Higgs Effective Field Theory and kappa-framework
• NLO Inspired Effective Lagrangians for Higgs Physics
• Consistent constraints on the Standard Model Effective Field Theory
• The Geometric Standard Model Effective Field Theory
• On Gauge Invariance and Minimal Coupling
• Electroweak and QCD Corrections to $Z$ and $W$ pole observables in the SMEFT
• Loops and trees in generic EFTs
• The Higgs width in the SMEFT
• Incorporating doubly resonant $W^{\pm }$ data in a global fit of SMEFT parameters to lift flat directions
• The $Z$ decay width in the SMEFT: $y_t$ and $\lambda$ corrections at one loop
• Gauge fixing the Standard Model Effective Field Theory
• Sigma Models with Negative Curvature
• The decay $h\to \gamma \gamma$ in the Standard-Model Effective Field Theory
• Interpreting $W$ mass measurements in the SMEFT
• The decay $h\to Z\gamma$ in the Standard-Model Effective Field Theory
• Through precision straits to next standard model heights
• Ward Identities for the Standard Model Effective Field Theory
• On expansions in neutrino effective field theory

Cited by in corpus (28)

• 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
• EWPD in the SMEFT to dimension eight
• Towards the renormalisation of the Standard Model effective field theory to dimension eight: Bosonic interactions I
• On the road(s) to the Standard Model
• SMEFTs living on the edge: determining the UV theories from positivity and extremality
• 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
• An EFT hunter's guide to two-to-two scattering: HEFT and SMEFT on-shell amplitudes
• 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
• Monolepton production in SMEFT to $\mathcal{O}(1/{\Lambda }^4)$ and beyond
• Disentangling SMEFT operators with future low-energy PVES experiments
• The $ggh$ variations
• The Feynman rules for the SMEFT in the background field gauge
• Renormalisation of SMEFT bosonic interactions up to dimension eight by LNV operators
• Jet Bundle Geometry of Scalar Field Theories
• 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
• Higgs decays to two leptons and a photon beyond leading order in the SMEFT
• The Geometric $\nu$SMEFT: Operators and Connections
• Dirac Masses and Mixings in the (geo)SM(EFT) and Beyond
• Dimension-eight Operator Basis for Universal Standard Model Effective Field Theory
• Dimension-8 SMEFT contact-terms for vector-pair production via on-shell Higgsing
• Renormalising the Field-Space Geometry
• Assessing (H)EFT theory errors by pitting EoM against Field Redefinitions
• Non-metricity signatures on the Higgs boson signal strengths at the LHC
• A Green's basis for the bosonic SMEFT to dimension 8