Dark photon limits: a handbook

Abstract

The dark photon is a massive hypothetical particle that interacts with the Standard Model by kinetically mixing with the visible photon. For small values of the mixing parameter, dark photons can evade cosmological bounds to be a viable dark matter candidate. Due to the similarities with the electromagnetic signals generated by axions, several bounds on dark photon signals are simply reinterpretations of historical bounds set by axion haloscopes. However, the dark photon has a property that the axion does not: an intrinsic polarisation. Due to the rotation of the Earth, accurately accounting for this polarisation is nontrivial, highly experiment-dependent, and depends upon assumptions about the dark photon's production mechanism. We show that if one does account for the DP polarisation, and the rotation of the Earth, an experiment's discovery reach can be enhanced by over an order of magnitude. We detail the strategies that would need to be taken to properly optimise a dark photon search. These include judiciously choosing the location and orientation of the experiment, as well as strategically timing any repeated measurements. Experiments located at $\pm$35${}^{\circ }$ or $\pm$55${}^{\circ }$ latitude, making three observations at different times of the sidereal day, can achieve a sensitivity that is fully optimised and insensitive to the dark photon's polarisation state, and hence its production mechanism. We also point out that several well-known searches for axions employ techniques for testing signals that preclude their ability to set exclusion limits on dark photons, and hence should not be reinterpreted as such.

32 pages, 11 figures. Code to reproduce the main results can be found at https://github.com/cajohare/DarkPhotonCookbook whereas code and data for making limit plots can be found at https://cajohare.github.io/AxionLimits. Matches published version

References in corpus (163)

• Asymptotic formulae for likelihood-based tests of new physics
• String Axiverse
• Cold and Fuzzy Dark Matter
• Ultralight scalars as cosmological dark matter
• The Cosmic Microwave Background Spectrum from the Full COBE/FIRAS Data Set
• The Low-Energy Frontier of Particle Physics
• WISPy Cold Dark Matter
• New experimental approaches in the search for axion-like particles
• A SQUID-based microwave cavity search for dark-matter axions
• The landscape of QCD axion models
• A Search for Invisible Axion Dark Matter with the Axion Dark Matter Experiment
• Light Dark Matter Search with Ionization Signals in XENON1T
• Physics Beyond Colliders at CERN: Beyond the Standard Model Working Group Report
• The type IIB string axiverse and its low-energy phenomenology
• Excess Electronic Recoil Events in XENON1T
• Vector Dark Matter from Inflationary Fluctuations
• Extended Search for the Invisible Axion with the Axion Dark Matter Experiment
• Photon and Graviton Mass Limits
• SENSEI: Direct-Detection Results on sub-GeV Dark Matter from a New Skipper-CCD
• Dielectric Haloscopes: A New Way to Detect Axion Dark Matter
• New ALPS Results on Hidden-Sector Lightweights
• A quantum-enhanced search for dark matter axions
• Any Light Particle Search II -- Technical Design Report
• Dark Light, Dark Matter and the Misalignment Mechanism
• Broadband and Resonant Approaches to Axion Dark Matter Detection
• Results from phase 1 of the HAYSTAC microwave cavity axion experiment
• The ORGAN Experiment: An axion haloscope above 15 GHz
• Proca Stars: gravitating Bose-Einstein condensates of massive spin 1 particles
• Equivalence Principle Violations and Couplings of a Light Dilaton
• Direct Detection Constraints on Dark Photon Dark Matter
• First Results from ABRACADABRA-10 cm: A Search for Sub-$\mu$eV Axion Dark Matter
• Search for Millicharged Particles at SLAC
• Relic Abundance of Dark Photon Dark Matter
• Searching for WISPy Cold Dark Matter with a Dish Antenna
• Constraints on Light Dark Matter Particles Interacting with Electrons from DAMIC at SNOLAB
• Constraining the mass of dark photons and axion-like particles through black-hole superradiance
• Tunable axion plasma haloscopes
• A review of the discovery reach of directional Dark Matter detection
• Solar constraints on hidden photons re-visited
• Instability of anisotropic cosmological solutions supported by vector fields
• Dark Photon Dark Matter Produced by Axion Oscillations
• Axion Dark Matter Detection using an LC Circuit
• A Radio for Hidden-Photon Dark Matter Detection
• Axion Dark Matter Search around 6.7 $\mu$eV
• Axion and hidden photon dark matter detection with multilayer optical haloscopes
• Revealing the Dark Matter Halo with Axion Direct Detection
• Parametric Resonance Production of Ultralight Vector Dark Matter
• A High Resolution Search for Dark-Matter Axions
• Searching for Dark Matter with a Superconducting Qubit
• First Results from Axion Haloscope at CAPP around 10.7 $\mu$eV
• Dark matter local density determination: recent observations and future prospects
• Vector dark matter production at the end of inflation
• Helioscope Bounds on Hidden Sector Photons
• On a Light Spinless Particle Coupled to Photons
• Dark Matter Detectors as Dark Photon Helioscopes
• The Need for Purely Laboratory-Based Axion-Like Particle Searches
• Ghost instabilities of cosmological models with vector fields nonminimally coupled to the curvature
• Searching for Dark Absorption with Direct Detection Experiments
• Production of Purely Gravitational Dark Matter: The Case of Fermion and Vector Boson
• Piezoelectrically Tuned Multimode Cavity Search for Axion Dark Matter
• Search for axion-like dark matter with ferromagnets
• Search for invisible axion dark matter of mass m${}_a=43\mu$eV with the QUAX--$a\gamma$ experiment
• Search for invisible axion dark matter with a multiple-cell haloscope
• Microwave Background Constraints on Mixing of Photons with Hidden Photons
• First results of the CERN Resonant WISP Search (CROWS)
• New axion and hidden photon constraints from a solar data global fit
• Compatibility of CAST search with axion-like interpretation of PVLAS results
• Dark Photon Dark Matter from a Network of Cosmic Strings
• A new experimental approach to probe QCD axion dark matter in the mass range above 40$\mu$eV
• Gravitational production of vector dark matter
• ADMX SLIC: Results from a Superconducting LC Circuit Investigating Cold Axions
• Millicharged particles in neutrino experiments
• Completely Dark Photons from Gravitational Particle Production During Inflation
• The Cosmological Evolution of Light Dark Photon Dark Matter
• Evading Astrophysical Constraints on Axion-Like Particles
• A Search for Dark Matter Axions with the Orpheus Experiment
• Dielectric Haloscopes to Search for Axion Dark Matter: Theoretical Foundations
• A Cavity Experiment to Search for Hidden Sector Photons
• Dark Photon Oscillations in Our Inhomogeneous Universe
• Caustic rings of dark matter
• A brief Review of the Scalar Field Dark Matter model
• A Search for Hidden Sector Photons with ADMX
• Spectroscopy as a test of Coulomb's law - A probe of the hidden sector
• Axion Searches with Microwave Filters: the RADES project
• Diurnal and Annual Modulation of Cold Dark Matter Signals
• Phenomenology of the Equivalence Principle with Light Scalars
• New limits on dark photons from solar emission and keV scale dark matter
• Sub-eV scalar dark matter through the super-renormalizable Higgs portal
• Characterization and Performance of Germanium Detectors with sub-keV Sensitivities for Neutrino and Dark Matter Experiments
• New limits on Bosonic Dark Matter, Solar Axions, Pauli Exclusion Principle Violation, and Electron Decay from the Majorana Demonstrator
• Axion Quasiparticles for Axion Dark Matter Detection
• Experimental Constraints on the Axion Dark Matter Halo Density
• Searches for electron interactions induced by new physics in the EDELWEISS-III germanium bolometers
• Exploring New Physics with O(keV) Electron Recoils in Direct Detection Experiments
• Misalignment & Co.: (Pseudo-)scalar and vector dark matter with curvature couplings
• Exploring the robustness of stellar cooling constraints on light particles
• Proton Fixed-Target Scintillation Experiment to Search for Minicharged Particles
• A Dark Matter Hurricane: Measuring the S1 Stream with Dark Matter Detectors
• Constraints on dark photons and axion-like particles from SuperCDMS Soudan
• Searches for dark photons at accelerators
• Searching for axions and ALPs from string theory
• Searching for new physics with profile likelihoods: Wilks and beyond
• Dark Shards: velocity substructure from Gaia and direct searches for dark matter
• Experimental Search for Hidden Photon CDM in the eV mass range with a Dish Antenna
• Axion astronomy with microwave cavity experiments
• Gas-rich dwarf galaxies as a new probe of dark matter interactions with ordinary matter
• Source mass characterization in the ARIADNE axion experiment
• From Resonant to Broadband Searches for WISPy Cold Dark Matter
• An Antenna for Directional Detection of WISPy Dark Matter
• Search for millicharged particles in proton-proton collisions at $\sqrt{s}=13$ TeV
• Heating up the Galaxy with Hidden Photons
• Evading the astrophysical limits on light pseudoscalars
• Directional axion detection
• Optimizing Light-Shining-through-a-Wall Experiments for Axion and other WISP Searches
• Limits from the Funk Experiment on the Mixing Strength of Hidden-Photon Dark Matter in the Visible and Near-Ultraviolet Wavelength Range
• Dark Photon Dark Matter in the Presence of Inhomogeneous Structure
• Earth as a transducer for dark-photon dark-matter detection
• Probing dark photons with plasma haloscopes
• Direct Detection Constraints on Dark Photons with CDEX-10 Experiment at the China Jinping Underground Laboratory
• Millicharged Particles in Liquid Argon Neutrino Experiments
• Light Dark Photon Dark Matter from Inflation
• Dark Matter Interferometry
• New Physics Discovery Potential in Future Experiments
• Modeling Dark Photon Oscillations in Our Inhomogeneous Universe
• Hidden Photon Dark Matter in the Light of XENON1T and Stellar Cooling
• Axion-photon conversion caused by dielectric interfaces: quantum field calculation
• Microwave cavity light shining through a wall optimization and experiment
• Effective photon mass and (dark) photon conversion in the inhomogeneous Universe
• Cryogenic resonant microwave cavity searches for hidden sector photons
• On the health of a vector field with (R A^2)/6 coupling to gravity
• Axions and Axion-like Particles
• Cavity design for high-frequency axion dark matter detectors
• Radio-frequency Dark Photon Dark Matter across the Sun
• First results from the WISPDMX radio frequency cavity searches for hidden photon dark matter
• The first search for bosonic super-WIMPs with masses up to 1 MeV/c${}^2$ with GERDA
• Results of a Search for Paraphotons with Intense X-ray Beams at SPring-8
• Results from the Solar Hidden Photon Search (SHIPS)
• Axion Detection with Cavity Arrays
• Direct Searches for Hidden-Photon Dark Matter with the SHUKET Experiment
• Cooling of young neutron stars and dark gauge bosons
• First results from a hidden photon dark matter search in the meV sector using a plane-parabolic mirror system
• Probing the relaxed relaxion and Higgs-portal with S1 & S2
• THESEUS Insights into ALP, Dark Photon and Sterile Neutrino Dark Matter
• Directional Resolution of Dish Antenna Experiments to Search for WISPy Dark Matter
• Dark Photons in the Solar Basin
• Constraints on hidden photons produced in nuclear reactors
• Gravitational Waves from an Axion-Dark Photon System: A Lattice Study
• Search for Dark Photon Dark Matter: Dark E-Field Radio Pilot Experiment
• Modulation Sensitive Search for Non-Virialized Dark-Matter Axions
• Probing new physics using Rydberg states of atomic hydrogen
• Search for hidden-photon cold dark matter using a K-band cryogenic receiver
• Constraining hidden photons via atomic force microscope measurements and the Plimpton-Lawton experiment
• A dark matter telescope probing the 6 to 60 GHz band
• Astrophysical searches for a hidden-photon signal in the radio regime
• Constraining Light Dark Photons from GW190517 and GW190426_152155
• New Constraints on Hidden Photons using Very High Energy Gamma-Rays from the Crab Nebula
• About the possibility to observe diurnal variations of the count rate of dark photons by the multicathode counters
• Dark photon dark matter and fast radio bursts
• Hidden Photons in Aharonov-Bohm-Type Experiments
• Superradiant Searches for Dark Photons in Two Stage Atomic Transitions
• Interference-assisted detection of dark photon using atomic transitions
• Sensitivity improvement in hidden photon detection using resonant cavities
• Constraining dark photon properties with Asteroseismology

Cited by in corpus (169)

• New Constraints on Dark Photon Dark Matter with Superconducting Nanowire Detectors in an Optical Haloscope
• Broadband solenoidal haloscope for terahertz axion detection
• Superradiance evolution of black hole shadows revisited
• Searching For Dark Matter with Plasma Haloscopes
• FACET: A new long-lived particle detector in the very forward region of the CMS experiment
• Non-thermal Origin of Asymmetric Dark Matter from Inflaton and Primordial Black Holes
• Direct detection of dark photon dark matter using radio telescopes
• Search for galactic axions with a traveling wave parametric amplifier
• The Canfranc Axion Detection Experiment (CADEx): Search for axions at 90 GHz with Kinetic Inductance Detectors
• Polarized Vector Oscillons
• Gravitational production of dark photon dark matter with mass generated by the Higgs mechanism
• Axion Astrophysics
• Search for Dark-Matter-Nucleon Interactions with a Dark Mediator in PandaX-4T
• Wideband Direct Detection Constraints on Hidden Photon Dark Matter with the QUALIPHIDE Experiment
• Neutron Stars with Baryon Number Violation, Probing Dark Sectors
• Dark Higgs Bosons at Colliders
• A singularity problem for interacting massive vectors
• The future search for low-frequency axions and new physics with the FLASH resonant cavity experiment at Frascati National Laboratories
• Dark Photon Dark Matter without Stueckelberg Mass
• Search for 70 μeV Dark Photon Dark Matter with a Dielectrically-Loaded Multi-Wavelength Microwave Cavity
• Search for Axion dark matter with the QUAX-LNF tunable haloscope
• First results from BRASS-p broadband searches for hidden photon dark matter
• Hints of dark photon dark matter from observations and hydrodynamical simulations of the low-redshift Lyman-$\alpha$ forest
• Long-baseline quantum sensor network as dark matter haloscope
• Scale Invariant FIMP Miracle
• Earth as a transducer for axion dark-matter detection
• Searching for Ultralight Dark Matter Conversion in Solar Corona using Low Frequency Array Data
• Search for Dark Photon Dark Matter in the Mass Range $74\mbox{--}110\,μ\mathrm{eV}/c^2$ with a Cryogenic Millimeter-Wave Receiver
• Dark Matter Axion Search with HAYSTAC Phase II
• A proposal for a low-frequency axion search in the 1-2 $\mu$eV range and below with the BabyIAXO magnet
• Dark photon dark matter from an oscillating dilaton
• First Scan Search for Dark Photon Dark Matter with a Tunable Superconducting Radio-Frequency Cavity
• Discovery prospects with the Dark-photons & Axion-Like particles Interferometer
• Search for dark photons using a multilayer dielectric haloscope equipped with a single-photon avalanche diode
• A Hunt for Magnetic Signatures of Hidden-Photon and Axion Dark Matter in the Wilderness
• Viable Vector Coherent Oscillation Dark Matter
• A Quantum Description of Wave Dark Matter
• Runaway Gravitational Production of Dark Photons
• Non-minimally Coupled Vector Boson Dark Matter
• Cosmologically Varying Kinetic Mixing
• Cosmological Relaxation through the Dark Axion Portal
• Dark Matter Candidates and Searches
• One-Electron Quantum Cyclotron as a Milli-eV Dark-Photon Detector
• First Results from a Broadband Search for Dark Photon Dark Matter in the $44$ to $52\mu$eV range with a coaxial dish antenna
• Maglev for Dark Matter: Dark-photon and axion dark matter sensing with levitated superconductors
• Photons from dark photon solitons via parametric resonance
• Limits on Dark Photons, Scalars, and Axion-Electromagnetodynamics with The ORGAN Experiment
• Deepest sensitivity to wavelike dark photon dark matter with superconducting radio frequency cavities
• Ultralight dark matter detection with levitated ferromagnets
• Detecting Ultralight Dark Matter Gravitationally with Laser Interferometers in Space
• Is the $W$-boson mass enhanced by the axion-like particle, dark photon, or chameleon dark energy?
• Detectable and defect-free dark photon dark matter
• Constraints on dark matter annihilation from the Event Horizon Telescope Observations of M87${}^{\star }$
• X-Ray Constraints on Dark Photon Tridents
• Constraining ultralight dark matter using the Fermi-LAT pulsar timing array
• Search for ultralight dark matter in the SuperMAG high-fidelity dataset
• Patchy Screening of the CMB from Dark Photons
• Experimental targets for dark photon dark matter
• Searches for exotic spin-dependent interactions with spin sensors
• First search for dark photon dark matter with a MADMAX prototype
• Resonant production of dark photons from axion without a large coupling
• Riding the dark matter wave: Novel limits on general dark photons from LISA Pathfinder
• Physical Signatures of Fermion-Coupled Axion Dark Matter
• Quantum entanglement of ions for light dark matter detection
• Dark matter detection using nuclear magnetization in magnet with hyperfine interaction
• Dissecting axion and dark photon with a network of vector sensors
• Dark photon superradiance quenched by dark matter
• Swampland Bounds on Dark Sectors
• Light Dark Matter Search with Nitrogen-Vacancy Centers in Diamonds
• Curl up with a good $\mathbf{B}$: Detecting ultralight dark matter with differential magnetometry
• Twin Quark Dark Matter From Cogenesis
• Revisiting sterile neutrino dark matter in gauged $U(1{)}_{B-L}$ model
• Highly Excited Electron Cyclotron for QCD Axion and Dark-Photon Detection
• Solar chameleons: Novel channels
• First Search for Ultralight Dark Matter Using a Magnetically Levitated Particle
• Phenomenology of wavelike vector dark matter nonminimally coupled to gravity
• Search for continuous gravitational wave signals from luminous dark photon superradiance clouds with LVK O3 observations
• Listening for Dark Photon Radio from the Galactic Centre
• Asteroids for ultralight dark-photon dark-matter detection
• Unveiling the inconsistency of the Proca theory with non-minimal coupling to gravity
• Probing ultra-light dark photon from inverse Compton-like scattering
• Shaping Dark Photon Spectral Distortions
• Dark photon constraints from a 7.139 GHz cavity haloscope experiment
• Terrestrial detection of hidden vectors produced by solar nuclear reactions
• Supernova Neutrinos: flavour conversion mechanisms and new physics scenarios
• Conversion of squeezed gravitons into photons during inflation
• Misalignment production of vector boson dark matter from axion-SU(2) inflation
• Testing the Ampère-Maxwell law on the photon mass and Lorentz-Poincaré symmetry violation with MMS multi-spacecraft data
• Future targets for light gauge bosons from cosmic strings
• Massive graviton dark matter searches with long-baseline atom interferometers
• Exploring dark photons via a subfrequency laser searchin gravitational wave detectors
• Search for vector dark matter in microwave cavities with Rydberg atoms
• Prospects on the Detection of Solar Dark Photons by the International Axion Observatory
• New Technologies for Axion and Dark Photon Searches
• QCD analysis of electromagnetic Dalitz decays $J/\psi \to {\eta }^{(\prime )}{\ell }^{+}{\ell }^{-}$
• Cooling the Shock: New Supernova Constraints on Dark Photons
• Search for solar bosonic dark matter annual modulation with COSINE-100
• New Exclusion Limit for Dark Photons from an SRF Cavity-Based Search (Dark SRF)
• Ponderomotive Effects of Ultralight Dark Matter
• Dark photon - dark energy stationary axisymmetric black holes
• New model of spontaneous scalarization of black holes induced by curvature and matter
• Black-hole hair from vector dark matter accretion
• Ultracompact vector stars
• Do neutrinos bend? Consequences of an ultralight gauge field as dark matter
• Search for Dark Photon Dark Matter in the Mass Range 41--74 $\mu \mathrm{eV}$ using Millimeter-Wave Receiver and Radioshielding Box
• Complex Dark Photon Dark Matter EFT
• Particle dispersion in the classical vector dark matter background
• Uniqueness of dark matter magnetized static black hole spacetime
• Hunting for Dark Photon-Photon Tridents
• Strong Constraints on Dark Photon and Scalar Dark Matter Decay from INTEGRAL and AMS-02 data
• GALILEO: Galactic Axion Laser Interferometer Leveraging Electro-Optics
• $A^{\prime }$ view of the sunrise: Boosting helioscopes with angular information
• Lognormal semi-numerical simulations of the Lyman-$\alpha$ forest: comparison with full hydrodynamic simulations
• Quasi-Sterile Neutrinos from Dark Sectors I. BSM matter effects in neutrino oscillations and the short-baseline anomalies
• Detecting Boosted Dark Photons with Gaseous Detectors
• Amplifying Non-Resonant Production of Dark Sector Particles in Scattering Dominance Regime
• The dark Stodolsky effect: constraining effective dark matter operators with spin-dependent interactions
• Sub-keV dark matter can strongly ionize molecular clouds
• Dark photon dark matter from flattened axion potentials
• Simultaneous Resonant and Broadband Detection of Ultralight Dark Matter and High-Frequency Gravitational Waves via Cavities and Circuits
• Reconciling Cosmological Tensions with Inelastic Dark Matter and Dark Radiation in a $\mathbf{U}(1{)}_{\mathbf{D}}$ Framework
• Wide-Mass-Scanning-Range Setup and Phase-Resolved Protocol for Axion Dark Matter Detection
• Charge transport in chiral solids as a possible tool in search of dark matter signals
• Higgs-Portal Spin-1 Dark Matter with Parity-Violating Interaction
• Invisible neutron decay and light BSM particles
• Particle Conversions Beyond the WKB Approximation and Solar-Induced Gravitational Waves from Dark Photon Dark Matter
• Ultralight dark matter detection with trapped-ion interferometry
• Implications of recent ${\left(g-2\right)}_{\mu }$ measurements for MeV-GeV dark sector searches
• Generation of effective massive Spin-2 fields through spontaneous symmetry breaking of scalar field
• Searching for the dark photon at the Future Circular Lepton Collider
• Ultraheavy Atomic Dark Matter Freeze-Out through Rearrangement
• Impacts of ALP on the Constraints of Dark Photon
• Dimming Starlight with Dark Compact Objects
• Plausible constraints and inflationary production for dark photons
• Dark photon constraints using the UHE gamma-ray emission from galactic sources. A Phenomenological Study
• Can synchrotron radiation reveal the presence of {\it dark sector} around black hole?
• Dark Z-mediated dark matter with verifiable exotic scalars
• INTEGRAL, eROSITA and Voyager Constraints on Light Bosonic Dark Matter: ALPs, Dark Photons, Scalars, $B-L$ and $L_i-L_j$ Vectors
• Scientific Opportunities at the ARIEL Electron Linac
• Detecting dark matter using optically trapped Rydberg atom tweezer arrays
• Vector dark matter production during inflation in the gradient-expansion formalism
• The Stochastic Schwinger Effect
• Time domain non-linear quantum interferometry
• Scalar-Magnetometer Search for Ultralight Dark Photon Dark Matter with a Single-Site, Two-Sensor Array: A 6-Channel DTFT Likelihood Analysis with Scalar Optically Pumped Magnetometers
• Scalable Dark Matter Searches Using Integrated Photonics
• Testing Nambu-Goto approximation of cosmic string by lattice field simulations
• Superradiant Interactions for Relic Detection with Entangled Nuclear Spins
• Féeton ($B-L$ Gauge Boson) Dark Matter Testable in Future Direct Detection Experiments
• Searching for dark photon dark matter from terrestrial magnetic fields
• Boomerang mechanism explaining the excess radio background
• Optomechanical Accelerometer Search for Ultralight Dark Matter
• Search for Dark Photons between 16.96--19.52 $\mu$eV with the HAYSTAC Experiment
• Internal symmetry to the rescue: well-posed 1+1 evolution of self-interacting vector fields
• Constraints on the $U(1{)}_{B-L}$ model from global QCD analysis
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• Solar Reflected Dark Matter under the Influence of a Dark Magnetic Field
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• Improved modelling for dark photon detection with dish antennas
• The Dark Photon: a 2026 Perspective
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• Physics beyond the Standard Model with the DSA-2000
• Black hole dark monopole system
• Conformal anomaly transport induced by dark photon