Stochastic Properties of Ultralight Scalar Field Gradients

Abstract

Ultralight axion-like particles are well-motivated dark matter candidates that are the target of numerous direct detection efforts. In the vicinity of the Solar System, such particles can be treated as oscillating scalar fields. The velocity dispersion of the Milky Way determines a coherence time of about 10^6 oscillations, beyond which the amplitude of the axion field fluctuates stochastically. Any analysis of data from an axion direct detection experiment must carefully account for this stochastic behavior to properly interpret the results. This is especially true for experiments sensitive to the gradient of the axion field that are unable to collect data for many coherence times. Indeed, the direction, in addition to the amplitude, of the axion field gradient fluctuates stochastically. We present the first complete stochastic treatment for the gradient of the axion field, including multiple computationally efficient methods for performing likelihood-based data analysis, which can be applied to any axion signal, regardless of coherence time. Additionally, we demonstrate that ignoring the stochastic behavior of the gradient of the axion field can potentially result in failure to discover a true axion signal.

arXiv comment16 pages, figures

References in corpus (48)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Array Programming with NumPy
• Astropy: A Community Python Package for Astronomy
• The Astropy Project: Building an inclusive, open-science project and status of the v2.0 core package
• Asymptotic formulae for likelihood-based tests of new physics
• String Axiverse
• Local Kinematics and the Local Standard of Rest
• New CAST Limit on the Axion-Photon Interaction
• Limits and Confidence Intervals in the Presence of Nuisance Parameters
• A Search for Invisible Axion Dark Matter with the Axion Dark Matter Experiment
• Revisiting the bound on axion-photon coupling from Globular Clusters
• Extended Search for the Invisible Axion with the Axion Dark Matter Experiment
• The Milky Way's circular velocity curve between 4 and 14 kpc from APOGEE data
• New ALPS Results on Hidden-Sector Lightweights
• Revisiting the SN1987A gamma-ray limit on ultralight axion-like particles
• Constraining the Milky Way potential with a 6-D phase-space map of the GD-1 stellar stream
• The Circular Velocity Curve of the Milky Way from $5$ to $25$ kpc
• Particle Physics Implications of a Recent Test of the Gravitational Inverse Square Law
• New Observables for Direct Detection of Axion Dark Matter
• Broadband and Resonant Approaches to Axion Dark Matter Detection
• First results from a microwave cavity axion search at 24 micro-eV
• Results from phase 1 of the HAYSTAC microwave cavity axion experiment
• First Results from ABRACADABRA-10 cm: A Search for Sub-$\mu$eV Axion Dark Matter
• Search for Spectral Irregularities due to Photon-Axionlike-Particle Oscillations With the Fermi Large Area Telescope
• Improved axion emissivity from a supernova via nucleon-nucleon bremsstrahlung
• New Exclusion Limits for the Search of Scalar and Pseudoscalar Axion-Like Particles from "Light Shining Through a Wall"
• Discovering New Light States at Neutrino Experiments
• Revealing the Dark Matter Halo with Axion Direct Detection
• Axion-induced effects in atoms, molecules and nuclei: Parity nonconservation, anapole moments, electric dipole moments, and spin-gravity and spin-axion momentum couplings
• Revisiting the axion bounds from the Galactic white dwarf luminosity function
• Search for axion-like dark matter through nuclear spin precession in electric and magnetic fields
• Constraints on axionlike particles with H.E.S.S. from the irregularity of the PKS 2155-304 energy spectrum
• Is there a supernova bound on axions?
• The search for low-mass axion dark matter with ABRACADABRA-10cm
• Search for axionlike dark matter with a liquid-state nuclear spin comagnetometer
• Search for axion-like dark matter with ferromagnets
• First results of the CERN Resonant WISP Search (CROWS)
• Astrophysical limits on very light axion-like particles from Chandra grating spectroscopy of NGC 1275
• First Searches for Axions and Axion-Like Particles with the LUX Experiment
• Detecting dark matter waves with precision measurement tools
• Constraints on bosonic dark matter from ultralow-field nuclear magnetic resonance
• Spin Precession Experiments for Light Axionic Dark Matter
• Constraints on Axion-like Particles and Nucleon Pairing in Dense Matter from the Hot Neutron Star in HESS J1731-347
• Axion-like Relics: New Constraints from Old Comagnetometer Data
• Direct limits on the interaction of antiprotons with axion-like dark matter
• Vortices and waves in light dark matter
• Constraints on axionlike dark matter with masses down to $10^{-23}$ eV/c${}^2$
• Quantum sensitivity limits of nuclear magnetic resonance experiments searching for new fundamental physics

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