Dark Matter Effective Field Theory and an Application to Vector Dark Matter

Abstract

The Standard Model Effective Field Theory (SMEFT) and the Low Energy Effective Field Theory (LEFT) can be extended by adding additional spin 0, 1/2 and 1 dark matter particles which are singlets under the Standard Model (SM) gauge group. We classify all gauge invariant interactions in the Lagrangian up to terms of dimension six, and present the tree-level matching conditions between the two theories at the electroweak scale. The most widely studied dark matter models, such as those based on the Higgs portal or on kinetic mixing between the photon and a dark photon, are based on dimension-four interactions with the SM sector. We consider a model with dark vector particles with a ${\mathbb{Z}}_2$ symmetry, so that the lightest dark matter particle is stable. The leading interaction with the SM is through dimension-six operators involving two dark vector field-strength tensors and the electromagnetic field-strength tensor. This model is a viable dark matter model in the freeze-in scenario for a wide range of parameters.

arXiv comment50 pages, 3 figures, matches published version

References in corpus (61)

• Dimension-Six Terms in the Standard Model Lagrangian
• Freeze-In Production of FIMP Dark Matter
• 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
• Constraints on Dark Matter from Colliders
• The Effective Field Theory of Dark Matter Direct Detection
• Constraints on Light Majorana Dark Matter from Colliders
• Updated Nucleosynthesis Constraints on Unstable Relic Particles
• Low-Energy Effective Field Theory below the Electroweak Scale: Operators and Matching
• Bounds on very low reheating scenarios after Planck
• Non-relativistic effective theory of dark matter direct detection
• Low-Energy Effective Field Theory below the Electroweak Scale: Anomalous Dimensions
• General Constraints on Dark Matter Decay from the Cosmic Microwave Background
• Tools for model-independent bounds in direct dark matter searches
• Cosmological constraints on exotic injection of electromagnetic energy
• On Effective Degrees of Freedom in the Early Universe
• Constraining Light Dark Matter with Low-Energy e+e- Colliders
• UltraViolet Freeze-in
• Heavy Majorana Neutrinos in the Effective Lagrangian Description: Application to Hadron Colliders
• Operators up to Dimension Seven in Standard Model Effective Field Theory Extended with Sterile Neutrinos
• General Neutrino Interactions from an Effective Field Theory Perspective
• Right-handed neutrino magnetic moments
• Global interpretation of direct Dark Matter searches after CDMS-II results
• Effective Theories for Dark Matter Nucleon Scattering
• Gamma Ray Line Constraints on Effective Theories of Dark Matter
• New Constraints on Dark Matter Effective Theories from Standard Model Loops
• An Effective Theory of Dirac Dark Matter
• Simplified Models vs. Effective Field Theory Approaches in Dark Matter Searches
• Dimension Seven Operators in Standard Model with Right handed Neutrinos
• Analysis strategies for general spin-independent WIMP-nucleus scattering
• Chiral Effective Theory of Dark Matter Direct Detection
• Dark Matter Freeze-in Production in Fast-Expanding Universes
• Heavy Dark Matter Annihilation from Effective Field Theory
• BasisGen: automatic generation of operator bases
• Effective Theory of WIMP Dark Matter supplemented by Simplified Models: Singlet-like Majorana fermion case
• Exploring New Physics with O(keV) Electron Recoils in Direct Detection Experiments
• Global fits of the dark matter-nucleon effective interactions
• Nuclear structure factors for general spin-independent WIMP-nucleus scattering
• The Fermionic Dark Matter Higgs Portal: an effective field theory approach
• The Effective Theory of Self-Interacting Dark Matter
• Singlet Majorana fermion dark matter: a comprehensive analysis in effective field theory
• Effective Field Theory for Dark Matter Direct Detection up to Dimension Seven
• On the effective operators for Dark Matter annihilations
• Probes of the Standard Model effective field theory extended with a right-handed neutrino
• Effective Theory of Freeze-in Dark Matter
• Scalar and tensor neutrino interactions
• Dark matter direct detection constraints from gauge bosons loops
• One-loop running of dimension-six Higgs-neutrino operators and implications of a large neutrino dipole moment
• Light and Darkness: consistently coupling dark matter to photons via effective operators
• A complete effective field theory for dark matter
• Decaying Vector Dark Matter as an Explanation for the 3.5 keV Line from Galaxy Clusters
• Dark Matter Effective Theory
• Anomalous dimensions from gauge couplings in SMEFT with right-handed neutrinos
• Non-relativistic Effective Interactions of Spin 1 Dark Matter
• Feebly coupled vector boson dark matter in effective theory
• An Exactly Solvable Model for Dimension Six Higgs Operators and $h\to \gamma \gamma$
• Natural explanation for 130 GeV photon line within vector boson dark matter model
• Anomalous dimensions from Yukawa couplings in SMNEFT: four-fermion operators
• Effective Theories with Dark Matter Applications
• Cosmological Constraints on Unstable Particles: Numerical Bounds and Analytic Approximations