How to use the Standard Model effective field theory

Abstract

We present a practical three-step procedure of using the Standard Model effective field theory (SM EFT) to connect ultraviolet (UV) models of new physics with weak scale precision observables. With this procedure, one can interpret precision measurements as constraints on a given UV model. We give a detailed explanation for calculating the effective action up to one-loop order in a manifestly gauge covariant fashion. This covariant derivative expansion method dramatically simplifies the process of matching a UV model with the SM EFT, and also makes available a universal formalism that is easy to use for a variety of UV models. A few general aspects of RG running effects and choosing operator bases are discussed. Finally, we provide mapping results between the bosonic sector of the SM EFT and a complete set of precision electroweak and Higgs observables to which present and near future experiments are sensitive. Many results and tools which should prove useful to those wishing to use the SM EFT are detailed in several appendices.

99 pages, 11 figures. V2: Typos corrected, references added. Fixed a link to Mathematica notebook for download. Substantial text changes for clarification with no change in results. In particular, sections 2.5, 3, and 5 received clarifying edits. Additionally, results from part of appendix A have been separated out to a new appendix

References in corpus (35)

• 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
• A Large Mass Hierarchy from a Small Extra Dimension
• Dimension-Six Terms in the Standard Model Lagrangian
• Improved Naturalness with a Heavy Higgs: An Alternative Road to LHC Physics
• Renormalization Group Evolution of the Standard Model Dimension Six Operators III: Gauge Coupling Dependence and Phenomenology
• Electroweak Measurements in Electron-Positron Collisions at W-Boson-Pair Energies at LEP
• Renormalization Group Evolution of the Standard Model Dimension Six Operators II: Yukawa Dependence
• The Minimal Moose for a Little Higgs
• Renormalization Group Evolution of the Standard Model Dimension Six Operators I: Formalism and lambda Dependence
• Electroweak symmetry breaking after LEP1 and LEP2
• TeV Symmetry and the Little Hierarchy Problem
• First Look at the Physics Case of TLEP
• The Electroweak Fit of the Standard Model after the Discovery of a New Boson at the LHC
• First-Order Electroweak Phase Transition in the Standard Model with a Low Cutoff
• The Minimal Set of Electroweak Precision Parameters
• Effective Theory Analysis of Precision Electroweak Data
• Renormalization group evolution of dimension-six baryon number violating operators
• Renormalization Group Scaling of Higgs Operators and Γ(h -> γγ)
• Renormalization of dimension-six operators relevant for the Higgs decays $h\to \gamma \gamma ,\gamma Z$
• LHC HXSWG interim recommendations to explore the coupling structure of a Higgs-like particle
• Effective Theories and Measurements at Colliders
• An Effective Guide to Beyond the Standard Model Physics
• Precision Higgsstrahlung as a Probe of New Physics
• On Gauge Invariance and Minimal Coupling
• Pinning down Higgs triplets at the LHC
• Naive Dimensional Analysis Counting of Gauge Theory Amplitudes and Anomalous Dimensions
• Triple Gauge Boson Couplings
• Anomalous Higgs Couplings at the LHC
• What do precision Higgs measurements buy us?
• Update of the electroweak precision fit, interplay with Higgs-boson signal strengths and model-independent constraints on new physics
• Electroweak Corrections from Triplet Scalars
• An Exactly Solvable Model for Dimension Six Higgs Operators and $h\to \gamma \gamma$
• A general treatment of oblique parameters
• Future Experimental Programs

Cited by in corpus (33)

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• NLO Higgs Effective Field Theory and kappa-framework
• Mixed Heavy-Light Matching in the Universal One-Loop Effective Action
• Extending the Universal One-Loop Effective Action: Heavy-Light Coefficients
• Improved determination of the Higgs mass in the MSSM with heavy superpartners
• Learning from Higgs Physics at Future Higgs Factories
• Sensitivities of Prospective Future e+e- Colliders to Decoupled New Physics
• Type-II 2HDM under the Precision Measurements at the $Z$-pole and a Higgs Factory
• Through precision straits to next standard model heights
• 2, 84, 30, 993, 560, 15456, 11962, 261485, ...: Higher dimension operators in the SM EFT
• Searching for a Heavy Higgs boson in a Higgs-portal B-L Model
• Renormalization group evolution of the universal theories EFT
• Contact Interactions in Higgs-Vector Boson Associated Production at the ILC
• Dimension-6 Operator Constraints from Boosted VBF Higgs
• Benchmarks for Higgs Effective Theory: Extended Higgs Sectors
• Comparing EFT and Exact One-Loop Analyses of Non-Degenerate Stops
• The supersymmetric Higgs boson with flavoured A-terms
• Electroweak phase transition triggered by fermion sector
• XEFT, the challenging path up the hill: dim = 6 and dim = 8
• From the EFT to the UV: the complete SMEFT one-loop dictionary
• Type-I 2HDM under the Higgs and Electroweak Precision Measurements
• BSM Benchmarks for Effective Field Theories in Higgs and Electroweak Physics
• Low energy behaviour of standard model extensions
• A Case for Future Lepton Colliders
• All one-loop scalar vertices in the effective potential approach
• The Standard Model from the LHC to future colliders: a contribution to the Workshop "What Next" of INFN
• Accessing Masses Beyond Collider Reach - in EFT
• Effective field theories and pseudo-observables in the quest for physics beyond the Standard Model
• Quantum supergravity, supergravity anomalies and string phenomenology