The Bottom-Up EFT: Complete UV Resonances of the SMEFT Operators

Abstract

The standard model effective field theory (SMEFT) provides systematic parameterization of all possible new physics above the electroweak scale. According to the amplitude-operator correspondence, an effective operator can be decomposed into a linear combination of several j-basis operators, which correspond to local amplitudes carrying certain spin and gauge quantum numbers in a particular scattering channel. Based on the Poincare and gauge symmetries of scattering amplitude, we construct the j-basis using the Casimir method for both the Lorentz and gauge sectors. The quantum numbers of the j-basis operators fix the quantum numbers of any intermediate state in the corresponding amplitudes, such as a UV resonance. This can be re-interpreted as the j-basis/UV correspondence, thus obtaining the j-bases in all partitions of fields for an operator amounts to finding all of its UV origins at tree level, constituting the central part of the bottom-up EFT framework. Applying the j-basis analysis to SMEFT, we obtain a complete list of possible tree-level UV origins of the effective operators at the dimension 5, 6, 7, and all the bosonic operators at the dimension 8.

arXiv comment125 pages, 10 figures, 33 tables, revised to match the published version, references added

References in corpus (28)

• Dimension-Six Terms in the Standard Model Lagrangian
• The Standard Model as an Effective Field Theory
• Simplified Models for a First Characterization of New Physics at the LHC
• New Color Decompositions for Gauge Amplitudes at Tree and Loop Level
• Effective description of general extensions of the Standard Model: the complete tree-level dictionary
• Patterns of Deviation from the Standard Model
• Dimension-8 Operators in the Standard Model Effective Field Theory
• Extending the Standard Model Effective Field Theory with the Complete Set of Dimension-7 Operators
• Complete Set of Dimension-8 Operators in the Standard Model Effective Field Theory
• Factorization of tree QCD amplitudes in the high-energy limit and in the collinear limit
• New Mechanism for Neutrino Mass Generation and Triply Charged Higgs Bosons at the LHC
• Supersymmetry and the LHC Inverse Problem
• The Bases of Effective Field Theories
• Neutrino masses from higher than d=5 effective operators
• Complete Set of Dimension-9 Operators in the Standard Model Effective Field Theory
• The electroweak effective field theory from on-shell amplitudes
• An explicit construction of the dimension-9 operator basis in the standard model effective field theory
• Systematic decomposition of the neutrinoless double beta decay operator
• Enumerating the operators of an effective field theory
• Constructing massive on-shell contact terms
• Orthogonal multiplet bases in SU(Nc) color space
• New Selection Rules from Angular Momentum Conservation
• High-dimensional neutrino masses
• Exploding operators for Majorana neutrino masses and beyond
• Fingerprints of heavy scales in electroweak effective Lagrangians
• Hermitian Young Operators
• Colorful Imprints of Heavy States in the Electroweak Effective Theory
• A bottom-up approach within the electroweak effective theory: constraining heavy resonances

Cited by in corpus (6)

• The Standard Model effective field theory at work
• Complete NLO Operators in the Higgs Effective Field Theory
• Impact of Dimension-8 SMEFT operators on Diboson Productions
• Building blocks of the flavourful SMEFT RG
• Tree-level unitarity constraints on heavy neutral leptons
• Two-loop dimension Six Effective Action: Integrating Out Heavy Scalar