Electron ionization via dark matter-electron scattering and the Migdal effect
Abstract
There are currently several existing and proposed experiments designed to probe sub-GeV dark matter (DM) using electron ionization in various materials. The projected signal rates for these experiments assume that this ionization yield arises only from DM scattering directly off electron targets, ignoring secondary ionization contributions from DM scattering off nuclear targets. We investigate the validity of this assumption and show that if sub-GeV DM couples with comparable strength to both protons and electrons, as would be the case for a dark photon mediator, the ionization signal from atomic scattering via the Migdal effect scales with the atomic number and 3-momentum transfer as . The result is that the Migdal effect is always subdominant to electron scattering when the mediator is light, but that Migdal-induced ionization can dominate over electron scattering for heavy mediators and DM masses in the hundreds of MeV range. We put these two ionization processes on identical theoretical footing, address some theoretical uncertainties in the choice of atomic wave functions used to compute rates, and discuss the implications for DM scenarios where the Migdal process dominates, including for XENON10, XENON100, and the recent XENON1T results on light DM scattering.
- Authors:
- Publication Date:
- Research Org.:
- Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); Kavli Foundation; Fred Kavli; Munich Institute for Astro- and Particle Physics (MIAPP)
- OSTI Identifier:
- 1615426
- Alternate Identifier(s):
- OSTI ID: 1561549
- Report Number(s):
- arXiv:1908.00012; FERMILAB-PUB-19-257-A
Journal ID: ISSN 2470-0010; PRVDAQ; 076014
- Grant/Contract Number:
- AC02-07CH11359
- Resource Type:
- Published Article
- Journal Name:
- Physical Review. D.
- Additional Journal Information:
- Journal Name: Physical Review. D. Journal Volume: 101 Journal Issue: 7; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Baxter, Daniel, Kahn, Yonatan, and Krnjaic, Gordan. Electron ionization via dark matter-electron scattering and the Migdal effect. United States: N. p., 2020.
Web. doi:10.1103/PhysRevD.101.076014.
Baxter, Daniel, Kahn, Yonatan, & Krnjaic, Gordan. Electron ionization via dark matter-electron scattering and the Migdal effect. United States. https://doi.org/10.1103/PhysRevD.101.076014
Baxter, Daniel, Kahn, Yonatan, and Krnjaic, Gordan. Mon .
"Electron ionization via dark matter-electron scattering and the Migdal effect". United States. https://doi.org/10.1103/PhysRevD.101.076014.
@article{osti_1615426,
title = {Electron ionization via dark matter-electron scattering and the Migdal effect},
author = {Baxter, Daniel and Kahn, Yonatan and Krnjaic, Gordan},
abstractNote = {There are currently several existing and proposed experiments designed to probe sub-GeV dark matter (DM) using electron ionization in various materials. The projected signal rates for these experiments assume that this ionization yield arises only from DM scattering directly off electron targets, ignoring secondary ionization contributions from DM scattering off nuclear targets. We investigate the validity of this assumption and show that if sub-GeV DM couples with comparable strength to both protons and electrons, as would be the case for a dark photon mediator, the ionization signal from atomic scattering via the Migdal effect scales with the atomic number Z and 3-momentum transfer q as Z2q2. The result is that the Migdal effect is always subdominant to electron scattering when the mediator is light, but that Migdal-induced ionization can dominate over electron scattering for heavy mediators and DM masses in the hundreds of MeV range. We put these two ionization processes on identical theoretical footing, address some theoretical uncertainties in the choice of atomic wave functions used to compute rates, and discuss the implications for DM scenarios where the Migdal process dominates, including for XENON10, XENON100, and the recent XENON1T results on light DM scattering.},
doi = {10.1103/PhysRevD.101.076014},
journal = {Physical Review. D.},
number = 7,
volume = 101,
place = {United States},
year = {Mon Apr 20 00:00:00 EDT 2020},
month = {Mon Apr 20 00:00:00 EDT 2020}
}
https://doi.org/10.1103/PhysRevD.101.076014
Web of Science
Works referenced in this record:
Quantum Forces from Dark Matter and Where to Find Them
journal, March 2018
- Fichet, Sylvain
- Physical Review Letters, Vol. 120, Issue 13
Light dark matter: Models and constraints
journal, December 2017
- Knapen, Simon; Lin, Tongyan; Zurek, Kathryn M.
- Physical Review D, Vol. 96, Issue 11
Migdal effect in dark matter direct detection experiments
journal, March 2018
- Ibe, Masahiro; Nakano, Wakutaka; Shoji, Yutaro
- Journal of High Energy Physics, Vol. 2018, Issue 3
Strong Constraints on Sub-GeV Dark Sectors from SLAC Beam Dump E137
journal, October 2014
- Batell, Brian; Essig, Rouven; Surujon, Ze’ev
- Physical Review Letters, Vol. 113, Issue 17
Direct detection constraints on dark photon dark matter
journal, July 2015
- An, Haipeng; Pospelov, Maxim; Pradler, Josef
- Physics Letters B, Vol. 747
Detecting superlight dark matter with Fermi-degenerate materials
journal, August 2016
- Hochberg, Yonit; Pyle, Matt; Zhao, Yue
- Journal of High Energy Physics, Vol. 2016, Issue 8
SENSEI: First Direct-Detection Constraints on Sub-GeV Dark Matter from a Surface Run
journal, August 2018
- Crisler, Michael; Essig, Rouven; Estrada, Juan
- Physical Review Letters, Vol. 121, Issue 6
Constraints on Spin-Independent Nucleus Scattering with sub-GeV Weakly Interacting Massive Particle Dark Matter from the CDEX-1B Experiment at the China Jinping Underground Laboratory
journal, October 2019
- Liu, Z. Z.; Yue, Q.; Yang, L. T.
- Physical Review Letters, Vol. 123, Issue 16
Direct detection of sub-GeV dark matter with scintillating targets
journal, July 2017
- Derenzo, Stephen; Essig, Rouven; Massari, Andrea
- Physical Review D, Vol. 96, Issue 1
Hunting all the hidden photons
journal, July 2018
- Bauer, Martin; Foldenauer, Patrick; Jaeckel, Joerg
- Journal of High Energy Physics, Vol. 2018, Issue 7
Directional detection of dark matter with two-dimensional targets
journal, September 2017
- Hochberg, Yonit; Kahn, Yonatan; Lisanti, Mariangela
- Physics Letters B, Vol. 772
Erratum: First Dark Matter Constraints from a SuperCDMS Single-Charge Sensitive Detector [Phys. Rev. Lett. 121 , 051301 (2018)]
journal, February 2019
- Agnese, R.; Aralis, T.; Aramaki, T.
- Physical Review Letters, Vol. 122, Issue 6
Dark matter search in nucleon, pion, and electron channels from a proton beam dump with MiniBooNE
journal, December 2018
- Aguilar-Arevalo, A. A.; Backfish, M.; Bashyal, A.
- Physical Review D, Vol. 98, Issue 11
Constraining light dark matter with low-energy e+e− colliders
journal, November 2013
- Essig, Rouven; Mardon, Jeremy; Papucci, Michele
- Journal of High Energy Physics, Vol. 2013, Issue 11
Semiconductor probes of light dark matter
journal, November 2012
- Graham, Peter W.; Kaplan, David E.; Rajendran, Surjeet
- Physics of the Dark Universe, Vol. 1, Issue 1-2
Impact of a resonance on thermal targets for invisible dark photon searches
journal, November 2017
- Feng, Jonathan L.; Smolinsky, Jordan
- Physical Review D, Vol. 96, Issue 9
Directly Detecting Sub-GeV Dark Matter with Electrons from Nuclear Scattering
journal, September 2018
- Dolan, Matthew J.; Kahlhoefer, Felix; McCabe, Christopher
- Physical Review Letters, Vol. 121, Issue 10
Direct detection of sub-GeV dark matter with semiconductor targets
journal, May 2016
- Essig, Rouven; Fernández-Serra, Marivi; Mardon, Jeremy
- Journal of High Energy Physics, Vol. 2016, Issue 5
Low-mass dark matter search using ionization signals in XENON100
journal, November 2016
- Aprile, E.; Aalbers, J.; Agostini, F.
- Physical Review D, Vol. 94, Issue 9
Direct detection of sub-GeV dark matter
journal, April 2012
- Essig, Rouven; Mardon, Jeremy; Volansky, Tomer
- Physical Review D, Vol. 85, Issue 7
Thermal detection of single e-h pairs in a biased silicon crystal detector
journal, January 2018
- Romani, R. K.; Brink, P. L.; Cabrera, B.
- Applied Physics Letters, Vol. 112, Issue 4
Direct detection of strongly interacting sub-GeV dark matter via electron recoils
journal, September 2019
- Emken, Timon; Essig, Rouven; Kouvaris, Chris
- Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 09
Search for Invisible Decays of a Dark Photon Produced in Collisions at BaBar
journal, September 2017
- Lees, J. P.; Poireau, V.; Tisserand, V.
- Physical Review Letters, Vol. 119, Issue 13
First Direct Detection Limits on Sub-GeV Dark Matter from XENON10
journal, July 2012
- Essig, Rouven; Manalaysay, Aaron; Mardon, Jeremy
- Physical Review Letters, Vol. 109, Issue 2
Detection of sub-MeV dark matter with three-dimensional Dirac materials
journal, January 2018
- Hochberg, Yonit; Kahn, Yonatan; Lisanti, Mariangela
- Physical Review D, Vol. 97, Issue 1
Roothaan-Hartree-Fock Ground-State Atomic Wave Functions: Slater-Type Orbital Expansions and Expectation Values for Z = 2-54
journal, January 1993
- Bunge, C. F.; Barrientos, J. A.; Bunge, A. V.
- Atomic Data and Nuclear Data Tables, Vol. 53, Issue 1
Single-Electron and Single-Photon Sensitivity with a Silicon Skipper CCD
journal, September 2017
- Tiffenberg, Javier; Sofo-Haro, Miguel; Drlica-Wagner, Alex
- Physical Review Letters, Vol. 119, Issue 13
The role of ionization electrons in direct neutralino detection
journal, January 2005
- Vergados, J. D.; Ejiri, H.
- Physics Letters B, Vol. 606, Issue 3-4
Observing a light dark matter beam with neutrino experiments
journal, October 2011
- deNiverville, Patrick; Pospelov, Maxim; Ritz, Adam
- Physical Review D, Vol. 84, Issue 7
Search for neutral metastable penetrating particles produced in the SLAC beam dump
journal, December 1988
- Bjorken, J. D.; Ecklund, S.; Nelson, W. R.
- Physical Review D, Vol. 38, Issue 11
Absolute Scintillation Yields in Liquid Argon and Xenon for Various Particles
journal, March 2002
- Doke, Tadayoshi; Hitachi, Akira; Kikuchi, Jun
- Japanese Journal of Applied Physics, Vol. 41, Issue Part 1, No. 3A
Superconducting Detectors for Superlight Dark Matter
journal, January 2016
- Hochberg, Yonit; Zhao, Yue; Zurek, Kathryn M.
- Physical Review Letters, Vol. 116, Issue 1
Nuclear recoil energy scale in liquid xenon with application to the direct detection of dark matter
journal, March 2011
- Sorensen, Peter; Dahl, Carl Eric
- Physical Review D, Vol. 83, Issue 6
Ultralow energy calibration of LUX detector using electron capture
journal, December 2017
- Akerib, D. S.; Alsum, S.; Araújo, H. M.
- Physical Review D, Vol. 96, Issue 11
New electron beam-dump experiments to search for MeV to few-GeV dark matter
journal, December 2013
- Izaguirre, Eder; Krnjaic, Gordan; Schuster, Philip
- Physical Review D, Vol. 88, Issue 11
Constraints on Light Dark Matter Particles Interacting with Electrons from DAMIC at SNOLAB
journal, October 2019
- Aguilar-Arevalo, A.; Amidei, D.; Baxter, D.
- Physical Review Letters, Vol. 123, Issue 18
WIMP detection and slow ion dynamics in carbon nanotube arrays
journal, June 2016
- Cavoto, G.; Cirillo, E. N. M.; Cocina, F.
- The European Physical Journal C, Vol. 76, Issue 6
Results of a Search for Sub-GeV Dark Matter Using 2013 LUX Data
journal, April 2019
- Akerib, D. S.; Alsum, S.; Araújo, H. M.
- Physical Review Letters, Vol. 122, Issue 13
Light Dark Matter Search with Ionization Signals in XENON1T
journal, December 2019
- Aprile, E.; Aalbers, J.; Agostini, F.
- Physical Review Letters, Vol. 123, Issue 25
Results on light dark matter particles with a low-threshold CRESST-II detector
journal, January 2016
- Angloher, G.; Bento, A.; Bucci, C.
- The European Physical Journal C, Vol. 76, Issue 1
Mechanism for Thermal Relic Dark Matter of Strongly Interacting Massive Particles
journal, October 2014
- Hochberg, Yonit; Kuflik, Eric; Volansky, Tomer
- Physical Review Letters, Vol. 113, Issue 17
Sub-GeV dark matter detection with electron recoils in carbon nanotubes
journal, January 2018
- Cavoto, G.; Luchetta, F.; Polosa, A. D.
- Physics Letters B, Vol. 776
Signal yields of keV electronic recoils and their discrimination from nuclear recoils in liquid xenon
journal, May 2018
- Aprile, E.; Aalbers, J.; Agostini, F.
- Physical Review D, Vol. 97, Issue 9
Constraints on Sub-GeV Dark-Matter–Electron Scattering from the DarkSide-50 Experiment
journal, September 2018
- Agnes, P.; Albuquerque, I. F. M.; Alexander, T.
- Physical Review Letters, Vol. 121, Issue 11
Observation and applications of single-electron charge signals in the XENON100 experiment
journal, February 2014
- Aprile, E.; Alfonsi, M.; Arisaka, K.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 41, Issue 3
Probing light thermal dark matter with a Higgs portal mediator
journal, October 2016
- Krnjaic, Gordan
- Physical Review D, Vol. 94, Issue 7
SENSEI: Direct-Detection Constraints on Sub-GeV Dark Matter from a Shallow Underground Run Using a Prototype Skipper CCD
journal, April 2019
- Abramoff, Orr; Barak, Liron; Bloch, Itay M.
- Physical Review Letters, Vol. 122, Issue 16
Probing Sub-GeV Dark Matter with Conventional Detectors
journal, January 2017
- Kouvaris, Chris; Pradler, Josef
- Physical Review Letters, Vol. 118, Issue 3
Observation of anticorrelation between scintillation and ionization for MeV gamma rays in liquid xenon
journal, July 2007
- Aprile, E.; Giboni, K. L.; Majewski, P.
- Physical Review B, Vol. 76, Issue 1
Analyzing the Discovery Potential for Light Dark Matter
journal, December 2015
- Izaguirre, Eder; Krnjaic, Gordan; Schuster, Philip
- Physical Review Letters, Vol. 115, Issue 25
XENON1T dark matter data analysis: Signal reconstruction, calibration, and event selection
journal, September 2019
- Aprile, E.; Aalbers, J.; Agostini, F.
- Physical Review D, Vol. 100, Issue 5
Search for Light Dark Matter Interactions Enhanced by the Migdal Effect or Bremsstrahlung in XENON1T
journal, December 2019
- Aprile, E.; Aalbers, J.; Agostini, F.
- Physical Review Letters, Vol. 123, Issue 24
History of dark matter
journal, October 2018
- Bertone, Gianfranco; Hooper, Dan
- Reviews of Modern Physics, Vol. 90, Issue 4
Direct dark matter search by observing electrons produced in neutralino–nucleus collisions
journal, October 2005
- Moustakidis, Ch. C.; Vergados, J. D.; Ejiri, H.
- Nuclear Physics B, Vol. 727, Issue 1-2
Erratum: Search for Light Dark Matter in XENON10 Data [Phys. Rev. Lett. 107 , 051301 (2011)]
journal, June 2013
- Angle, J.
- Physical Review Letters, Vol. 110, Issue 24
Detection of sub-GeV dark matter and solar neutrinos via chemical-bond breaking
journal, March 2017
- Essig, Rouven; Mardon, Jeremy; Slone, Oren
- Physical Review D, Vol. 95, Issue 5
Search for Light Dark Matter in XENON10 Data
journal, July 2011
- Angle, J.; Aprile, E.; Arneodo, F.
- Physical Review Letters, Vol. 107, Issue 5
Solar neutrinos as a signal and background in direct-detection experiments searching for sub-GeV dark matter with electron recoils
journal, May 2018
- Essig, Rouven; Sholapurkar, Mukul; Yu, Tien-Tien
- Physical Review D, Vol. 97, Issue 9
Modulation effects in dark matter-electron scattering experiments
journal, October 2015
- Lee, Samuel K.; Lisanti, Mariangela; Mishra-Sharma, Siddharth
- Physical Review D, Vol. 92, Issue 8
New constraints and prospects for sub-GeV dark matter scattering off electrons in xenon
journal, August 2017
- Essig, Rouven; Volansky, Tomer; Yu, Tien-Tien
- Physical Review D, Vol. 96, Issue 4
Tritium calibration of the LUX dark matter experiment
journal, April 2016
- Akerib, D. S.; Araújo, H. M.; Bai, X.
- Physical Review D, Vol. 93, Issue 7
Elastically Decoupling Dark Matter
journal, June 2016
- Kuflik, Eric; Perelstein, Maxim; Lorier, Nicolas Rey-Le
- Physical Review Letters, Vol. 116, Issue 22
On Electromagnetic Contributions in wimp Quests
journal, July 2007
- Bernabei, R.; Belli, P.; Montecchia, F.
- International Journal of Modern Physics A, Vol. 22, Issue 19
Two U(1)'s and ϵ charge shifts
journal, January 1986
- Holdom, Bob
- Physics Letters B, Vol. 166, Issue 2
Searching for low-mass dark matter particles with a massive Ge bolometer operated above ground
journal, April 2019
- Armengaud, E.; Augier, C.; Benoît, A.
- Physical Review D, Vol. 99, Issue 8
Electron extraction efficiency study for dual-phase xenon dark matter experiments
journal, May 2019
- Xu, J.; Pereverzev, S.; Lenardo, B.
- Physical Review D, Vol. 99, Issue 10
Migdal effect and photon bremsstrahlung in effective field theories of dark matter direct detection and coherent elastic neutrino-nucleus scattering
journal, January 2020
- Bell, Nicole F.; Dent, James B.; Newstead, Jayden L.
- Physical Review D, Vol. 101, Issue 1
First Dark Matter Constraints from a SuperCDMS Single-Charge Sensitive Detector
journal, August 2018
- Agnese, R.; Aralis, T.; Aramaki, T.
- Physical Review Letters, Vol. 121, Issue 5