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Yevgeny Stadnik

Yevgeny Stadnik. New Atomic Probes for Dark Matter and Neutrino-Mediated Forces. Humboldt Fellow. Johannes Gutenberg University, Mainz, Germany. Collaborators (Theory): Victor Flambaum. Collaborators (Experiment): nEDM collaboration at PSI and Sussex

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Yevgeny Stadnik

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  1. Yevgeny Stadnik New Atomic Probes for Dark Matter and Neutrino-Mediated Forces Humboldt Fellow Johannes Gutenberg University, Mainz, Germany Collaborators (Theory): Victor Flambaum Collaborators (Experiment): nEDM collaboration at PSI and Sussex BASE collaboration at CERN and RIKEN CASPEr collaboration at Mainz PSAS, Vienna, May 2018

  2. Motivation Overwhelming astrophysical evidence for existence of dark matter (~5 times more dark matter than ordinary matter). ρDM≈ 0.4 GeV/cm3 vDM~ 300 km/s

  3. Motivation Traditional “scattering-off-nuclei” searches for heavy WIMP dark matter particles (mχ ~ GeV) have not yet produced a strong positive result.

  4. Motivation Traditional “scattering-off-nuclei” searches for heavy WIMP dark matter particles (mχ ~ GeV) have not yet produced a strong positive result.

  5. Motivation Traditional “scattering-off-nuclei” searches for heavy WIMP dark matter particles (mχ ~ GeV) have not yet produced a strong positive result.

  6. Motivation Traditional “scattering-off-nuclei” searches for heavy WIMP dark matter particles (mχ ~ GeV) have not yet produced a strong positive result. Challenge:Observable is fourth powerin a small interaction constant (eי << 1)!

  7. Motivation Traditional “scattering-off-nuclei” searches for heavy WIMP dark matter particles (mχ ~ GeV) have not yet produced a strong positive result. Question:Can we instead look for effects of dark matter that are first powerin the interaction constant?

  8. Low-Mass Spin-0 Dark Matter • Low-mass spin-0 particles form a coherently oscillating classicalfield φ(t) = φ0 cos(mφc2t/ℏ), with energy density <ρφ>≈ mφ2φ02/2 (ρDM,local≈ 0.4 GeV/cm3)

  9. Low-Mass Spin-0 Dark Matter • Low-mass spin-0 particles form a coherently oscillating classicalfield φ(t) = φ0 cos(mφc2t/ℏ), with energy density <ρφ>≈ mφ2φ02/2 (ρDM,local≈ 0.4 GeV/cm3) • Coherently oscillating field, since cold (Eφ≈mφc2)

  10. Low-Mass Spin-0 Dark Matter • Low-mass spin-0 particles form a coherently oscillating classicalfield φ(t) = φ0 cos(mφc2t/ℏ), with energy density <ρφ>≈ mφ2φ02/2 (ρDM,local≈ 0.4 GeV/cm3) • Coherently oscillating field, since cold (Eφ≈mφc2) • Classical field for mφ≲ 0.1 eV, sincenφ(λdB,φ/2π)3 >> 1

  11. Low-Mass Spin-0 Dark Matter • Low-mass spin-0 particles form a coherently oscillating classicalfield φ(t) = φ0 cos(mφc2t/ℏ), with energy density <ρφ>≈ mφ2φ02/2 (ρDM,local≈ 0.4 GeV/cm3) • Coherently oscillating field, since cold (Eφ≈mφc2) • Classical field for mφ≲ 0.1 eV, sincenφ(λdB,φ/2π)3 >> 1 • Coherent + classical DM field = “Cosmic laser field”

  12. Low-Mass Spin-0 Dark Matter • Low-mass spin-0 particles form a coherently oscillating classicalfield φ(t) = φ0 cos(mφc2t/ℏ), with energy density <ρφ>≈ mφ2φ02/2 (ρDM,local≈ 0.4 GeV/cm3) • Coherently oscillating field, since cold (Eφ≈mφc2) • Classical field for mφ≲ 0.1 eV, sincenφ(λdB,φ/2π)3 >> 1 • Coherent + classical DM field = “Cosmic laser field” • 10-22eV≲mφ≲ 0.1 eV <=> 10-8 Hz ≲f≲ 1013 Hz λdB,φ≤ Ldwarf galaxy~ 1 kpc Classical field

  13. Low-Mass Spin-0 Dark Matter • Low-mass spin-0 particles form a coherently oscillating classicalfield φ(t) = φ0 cos(mφc2t/ℏ), with energy density <ρφ>≈ mφ2φ02/2 (ρDM,local≈ 0.4 GeV/cm3) • Coherently oscillating field, since cold (Eφ≈mφc2) • Classical field for mφ≲ 0.1 eV, sincenφ(λdB,φ/2π)3 >> 1 • Coherent + classical DM field = “Cosmic laser field” • 10-22eV≲mφ≲ 0.1 eV <=> 10-8 Hz ≲f≲ 1013 Hz • mφ ~ 10-22eV <=> T ~ 1 year λdB,φ≤ Ldwarf galaxy~ 1 kpc Classical field

  14. Low-Mass Spin-0 Dark Matter • Low-mass spin-0 particles form a coherently oscillating classicalfield φ(t) = φ0 cos(mφc2t/ℏ), with energy density <ρφ>≈ mφ2φ02/2 (ρDM,local≈ 0.4 GeV/cm3)

  15. Low-Mass Spin-0 Dark Matter • Low-mass spin-0 particles form a coherently oscillating classicalfield φ(t) = φ0 cos(mφc2t/ℏ), with energy density <ρφ>≈ mφ2φ02/2 (ρDM,local≈ 0.4 GeV/cm3) • 10-22eV≲mφ≲ 0.1 eV inaccessible to traditional “scattering-off-nuclei” searches, since |pφ| ~ 10-3mφ is extremely small => recoil effects of individual particles suppressed

  16. Low-Mass Spin-0 Dark Matter • Low-mass spin-0 particles form a coherently oscillating classicalfield φ(t) = φ0 cos(mφc2t/ℏ), with energy density <ρφ>≈ mφ2φ02/2 (ρDM,local≈ 0.4 GeV/cm3) • 10-22eV≲mφ≲ 0.1 eV inaccessible to traditional “scattering-off-nuclei” searches, since |pφ| ~ 10-3mφ is extremely small => recoil effects of individual particles suppressed • BUT can look for coherent effects of a low-mass DM fieldin low-energy atomic and astrophysical phenomena that are first power in the interaction constant κ:

  17. Low-Mass Spin-0 Dark Matter • Low-mass spin-0 particles form a coherently oscillating classicalfield φ(t) = φ0 cos(mφc2t/ℏ), with energy density <ρφ>≈ mφ2φ02/2 (ρDM,local≈ 0.4 GeV/cm3) • 10-22eV≲mφ≲ 0.1 eV inaccessible to traditional “scattering-off-nuclei” searches, since |pφ| ~ 10-3mφ is extremely small => recoil effects of individual particles suppressed • BUT can look for coherent effects of a low-mass DM fieldin low-energy atomic and astrophysical phenomena that are first power in the interaction constant κ: • First-power effects => Improved sensitivity to certain DM interactions by up to 15 orders of magnitude(!)

  18. Low-Mass Spin-0 Dark Matter Dark Matter Scalars (Dilatons): φ→ +φ Pseudoscalars (Axions): φ→ -φ P P → Time-varying fundamental constants → Time-varying spin-dependent effects 1015-fold improvement 1000-fold improvement

  19. Low-Mass Spin-0 Dark Matter Dark Matter Pseudoscalars (Axions): φ→ -φ QCD axion resolves strong CP problem P → Time-varying spin-dependent effects 1000-fold improvement

  20. “Axion Wind” Spin-Precession Effect [Flambaum, talk at Patras Workshop, 2013], [Graham, Rajendran, PRD88, 035023 (2013)], [Stadnik, Flambaum, PRD89, 043522 (2014)] Pseudo-magnetic field

  21. Oscillating Electric Dipole Moments Nucleons: [Graham, Rajendran, PRD84, 055013 (2011)] Atoms and molecules: [Stadnik, Flambaum, PRD89, 043522 (2014)] Electric Dipole Moment (EDM) = parity (P) and time-reversal-invariance (T) violating electric moment

  22. Searching for Spin-Dependent Effects Proposals:[Flambaum, talk at Patras Workshop, 2013; Stadnik, Flambaum, PRD89, 043522 (2014); arXiv:1511.04098; Stadnik, PhD Thesis (2017)] Use spin-polarised sources: Atomic magnetometers, ultracold neutrons, torsion pendula

  23. Searching for Spin-Dependent Effects Proposals:[Flambaum, talk at Patras Workshop, 2013; Stadnik, Flambaum, PRD89, 043522 (2014); arXiv:1511.04098; Stadnik, PhD Thesis (2017)] Use spin-polarised sources: Atomic magnetometers, ultracold neutrons, torsion pendula Experiment (n/Hg):[nEDM collaboration, PRX7, 041034 (2017)] B-field effect Axion DM effect

  24. Searching for Spin-Dependent Effects Proposals:[Flambaum, talk at Patras Workshop, 2013; Stadnik, Flambaum, PRD89, 043522 (2014); arXiv:1511.04098; Stadnik, PhD Thesis (2017)] Use spin-polarised sources: Atomic magnetometers, ultracold neutrons, torsion pendula Experiment (n/Hg):[nEDM collaboration, PRX7, 041034 (2017)] B-field effect Axion DM effect

  25. Searching for Spin-Dependent Effects Proposals:[Flambaum, talk at Patras Workshop, 2013; Stadnik, Flambaum, PRD89, 043522 (2014); arXiv:1511.04098; Stadnik, PhD Thesis (2017)] Use spin-polarised sources: Atomic magnetometers, ultracold neutrons, torsion pendula Experiment (n/Hg):[nEDM collaboration, PRX7, 041034 (2017)] E σ B

  26. Searching for Spin-Dependent Effects Proposals:[Flambaum, talk at Patras Workshop, 2013; Stadnik, Flambaum, PRD89, 043522 (2014); arXiv:1511.04098; Stadnik, PhD Thesis (2017)] Use spin-polarised sources: Atomic magnetometers, ultracold neutrons, torsion pendula Experiment (n/Hg):[nEDM collaboration, PRX7, 041034 (2017)] E σ B Beff Earth’s rotation

  27. Constraints on Interaction of Axion Dark Matter with Gluons nEDM constraints: [nEDM collaboration, PRX7, 041034 (2017)] 3 orders of magnitude improvement!

  28. Constraints on Interaction of Axion Dark Matter with Nucleons νn/νHg constraints: [nEDM collaboration, PRX7, 041034 (2017)] 40-fold improvement (laboratory bounds)!

  29. Constraints on Interaction of Axion Dark Matter with Nucleons νn/νHg constraints: [nEDM collaboration, PRX7, 041034 (2017)] 40-fold improvement (laboratory bounds)! Expected sensitivity (atomic co-magnetometry)

  30. Classical (Tree-Level) Weak Force [r >> 1/mZ]

  31. “Long-Range” Neutrino-Mediated Forces [1/mZ,W << r << 1/(2mν)]

  32. Probing “Long-Range” Neutrino-Mediated Forces [Stadnik, arXiv:1711.03700, PRL (In press)]

  33. Probing “Long-Range” Neutrino-Mediated Forces [Stadnik, arXiv:1711.03700, PRL (In press)] Enormous enhancement of energy shift in s-wave atomic states (l = 0, no centrifugal barrier)!

  34. Probing “Long-Range” Neutrino-Mediated Forces [Stadnik, arXiv:1711.03700, PRL (In press)] Enormous enhancement of energy shift in s-wave atomic states (l = 0, no centrifugal barrier)! rc = “cutoff” radius Finite-sized nucleus: (aB/rc)2 ≈ (aB/Rnucl)2 ~ 109 Point-like nucleus: (aB/rc)2 ≈ (aB/λZ,W)2 ~ 1015

  35. Probing “Long-Range” Neutrino-Mediated Forces [Stadnik, arXiv:1711.03700, PRL (In press)] • Spectroscopy measurements of and calculations in: • Simple atoms (H, D) • Exotic atoms (e-e+, e-μ+) • Simple nuclei (np) • Heavy atoms (Ca+)

  36. Probing “Long-Range” Neutrino-Mediated Forces [Stadnik, arXiv:1711.03700, PRL (In press)] • Spectroscopy measurements of and calculations in: • Simple atoms (H, D) • Exotic atoms (e-e+, e-μ+) • Simple nuclei (np) • Heavy atoms (Ca+) Muonium ground-state hyperfine interval: Δνneutrinos ≈ 0.5 Hz νexp = 4463302776(51) Hz νtheor = 4463302868(271)* Hz Δνneutrinos + other fermions ≈ 2 Hz *u[νtheor(me/mμ)] ≈ 260 Hz, u[νtheor(4th-order QED)] ≈ 85 Hz, u[νtheor(others)] ≲ Hz

  37. Constraints on “Long-Range” Neutrino-Mediated Forces [Stadnik, arXiv:1711.03700, PRL (In press)] 18 orders of magnitude improvement!

  38. Summary • New classes of dark matter effects that are first power in the underlying interaction constant => Up to 15 orders of magnitude improvement • Improved limits on dark bosons from atomic experiments (independent of ρDM) • 18 orders of magnitude improvement on “long-range” neutrino-mediated forces from atomic spectroscopy (Can we test the SM prediction?) • More details in full slides (also on ResearchGate)

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