Effective description of general extensions of the Standard Model: the complete tree-level dictionary

Abstract

We compute all the tree-level contributions to the Wilson coefficients of the dimension-six Standard-Model effective theory in ultraviolet completions with general scalar, spinor and vector field content and arbitrary interactions. No assumption about the renormalizability of the high-energy theory is made. This provides a complete ultraviolet/infrared dictionary at the classical level, which can be used to study the low-energy implications of any model of interest, and also to look for explicit completions consistent with low-energy data.

Latex, 23 pages + appendices + references, 1 figure, 9 tables. Extended discussion on the use of the results presented in appendix D. New references and comments. Minor corrections. Published version

References in corpus (68)

• 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
• Dimension-Six Terms in the Standard Model Lagrangian
• The Strongly-Interacting Light Higgs
• Renormalization Group Evolution of the Standard Model Dimension Six Operators III: Gauge Coupling Dependence and Phenomenology
• Renormalization Group Evolution of the Standard Model Dimension Six Operators II: Yukawa Dependence
• Renormalization Group Evolution of the Standard Model Dimension Six Operators I: Formalism and lambda Dependence
• B-physics anomalies: a guide to combined explanations
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• Renormalization group evolution of dimension-six baryon number violating operators
• Electroweak Limits on General New Vector Bosons
• Compilation of low-energy constraints on 4-fermion operators in the SMEFT
• Model-independent precision constraints on dimension-6 operators
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• Electroweak constraints on new physics
• Impact of extra particles on indirect Z' limits
• The Global Electroweak and Higgs Fits in the LHC era
• Tracks of resonances in electroweak effective Lagrangians

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