Wake forces in a background of quadratically coupled mediators

Abstract

Two particles can exert forces on each other when embedded in a sea of weakly-coupled particles. These "wake forces'' occur whenever the source and target particles have quadratic interactions with the mediating particles; they are proportional to the ambient energy density, and typically have a range of order the characteristic de Broglie wavelength of the background. The effect can be understood as source particles causing a disturbance in the background waves -- a wake -- which subsequently interacts with the target particles. Wake forces can be mediated by bosons or fermions, can have spin dependence, may be attractive or repulsive, and have a generally anisotropic spatial profile and range that depends on the phase-space distribution of the ambient particles. In this work, I investigate the application of wake forces to dark matter searches, recast existing limits on short-range forces into leading constraints on dark matter with quadratic couplings, and sketch out potential experimental modifications to optimize sensitivity. Wake forces occur in the Standard Model: the presence of the cosmic neutrino background induces a millimeter-range force about 22 orders of magnitude weaker than gravity. Wake forces may also be relevant in condensed-matter and atomic physics.

15+7 pages, 11 figures; v2: matches journal version, new title, typos fixed in Figs. 3 and 4

References in corpus (15)

• Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
• Constraints on the Self-Interaction Cross-Section of Dark Matter from Numerical Simulations of the Merging Galaxy Cluster 1E 0657-5
• Observation of Coherent Elastic Neutrino-Nucleus Scattering
• Searching for dilaton dark matter with atomic clocks
• Light Dark Matter: Models and Constraints
• Environmental Dependence of Masses and Coupling Constants
• Improved constraints on non-Newtonian forces at 10 microns
• Light Dark Matter in Superfluid Helium: Detection with Multi-excitation Production
• A note on the role of the boundary terms for the non-Gaussianity in general k-inflation
• Search for invisible decays of the Higgs boson produced via vector boson fusion in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Finite Volume at Two-loops in Chiral Perturbation Theory
• Emergent long-range interactions in Bose-Einstein Condensates
• Celestial Mellin Amplitude
• Quantum nonequilibrium dynamics from Knizhnik-Zamolodchikov equations
• Complex Linear Multiplets and Local Supersymmetry Breaking

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