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Title: Systematizing the effective theory of self-interacting dark matter

Abstract

If dark matter has strong self-interactions, future astrophysical and cosmological observations, together with a clearer understanding of baryonic feedback effects, might be used to extract the velocity dependence of the dark matter scattering rate. To interpret such data, we should understand what predictions for this quantity are made by various models of the underlying particle nature of dark matter. In this paper, we systematically compute this function for fermionic dark matter with light bosonic mediators of vector, scalar, axial vector, and pseudoscalar type. We do this by matching to the nonrelativistic effective theory of self-interacting dark matter and then computing the spin-averaged viscosity cross section nonperturbatively by solving the Schrödinger equation, thus accounting for any possible Sommerfeld enhancement of the low-velocity cross section. In the pseudoscalar case, this requires a coupled-channel analysis of different angular momentum modes. We find, contrary to some earlier analyses, that nonrelativistic effects only provide a significant enhancement for the cases of light scalar and vector mediators. Scattering from light pseudoscalar and axial vector mediators is well described by tree-level quantum field theory.

Authors:
ORCiD logo [1];  [1]; ORCiD logo [1]
  1. Harvard Univ., Cambridge, MA (United States)
Publication Date:
Research Org.:
Harvard Univ., Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC); National Science Foundation (NSF); Moore Foundation; National Aeronautics and Space administration (NASA); German Research Foundation (DFG)
OSTI Identifier:
1851827
Grant/Contract Number:  
SC0013607; PHY-1620806; PHY-1915071; 8342; DGE1745303; NNX16AI12G; PHY05-051164; EXC-2094-390783311; PHY-1607611
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 10; Journal ID: ISSN 1029-8479
Publisher:
Springer Nature
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; beyond standard model; cosmology of theories beyond the SM

Citation Formats

Agrawal, Prateek, Parikh, Aditya, and Reece, Matthew. Systematizing the effective theory of self-interacting dark matter. United States: N. p., 2020. Web. doi:10.1007/jhep10(2020)191.
Agrawal, Prateek, Parikh, Aditya, & Reece, Matthew. Systematizing the effective theory of self-interacting dark matter. United States. https://doi.org/10.1007/jhep10(2020)191
Agrawal, Prateek, Parikh, Aditya, and Reece, Matthew. Wed . "Systematizing the effective theory of self-interacting dark matter". United States. https://doi.org/10.1007/jhep10(2020)191. https://www.osti.gov/servlets/purl/1851827.
@article{osti_1851827,
title = {Systematizing the effective theory of self-interacting dark matter},
author = {Agrawal, Prateek and Parikh, Aditya and Reece, Matthew},
abstractNote = {If dark matter has strong self-interactions, future astrophysical and cosmological observations, together with a clearer understanding of baryonic feedback effects, might be used to extract the velocity dependence of the dark matter scattering rate. To interpret such data, we should understand what predictions for this quantity are made by various models of the underlying particle nature of dark matter. In this paper, we systematically compute this function for fermionic dark matter with light bosonic mediators of vector, scalar, axial vector, and pseudoscalar type. We do this by matching to the nonrelativistic effective theory of self-interacting dark matter and then computing the spin-averaged viscosity cross section nonperturbatively by solving the Schrödinger equation, thus accounting for any possible Sommerfeld enhancement of the low-velocity cross section. In the pseudoscalar case, this requires a coupled-channel analysis of different angular momentum modes. We find, contrary to some earlier analyses, that nonrelativistic effects only provide a significant enhancement for the cases of light scalar and vector mediators. Scattering from light pseudoscalar and axial vector mediators is well described by tree-level quantum field theory.},
doi = {10.1007/jhep10(2020)191},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2020,
place = {United States},
year = {Wed Oct 28 00:00:00 EDT 2020},
month = {Wed Oct 28 00:00:00 EDT 2020}
}

Works referenced in this record:

The unexpected diversity of dwarf galaxy rotation curves
journal, August 2015

  • Oman, Kyle A.; Navarro, Julio F.; Fattahi, Azadeh
  • Monthly Notices of the Royal Astronomical Society, Vol. 452, Issue 4
  • DOI: 10.1093/mnras/stv1504

The APOSTLE simulations: solutions to the Local Group's cosmic puzzles
journal, February 2016

  • Sawala, Till; Frenk, Carlos S.; Fattahi, Azadeh
  • Monthly Notices of the Royal Astronomical Society, Vol. 457, Issue 2
  • DOI: 10.1093/mnras/stw145

ETHOS—an effective theory of structure formation: From dark particle physics to the matter distribution of the Universe
journal, June 2016


Too big to fail? The puzzling darkness of massive Milky Way subhaloes: Massive dark subhaloes in the Milky Way
journal, June 2011

  • Boylan-Kolchin, Michael; Bullock, James S.; Kaplinghat, Manoj
  • Monthly Notices of the Royal Astronomical Society: Letters, Vol. 415, Issue 1
  • DOI: 10.1111/j.1745-3933.2011.01074.x

Evidence against dissipation-less dark matter from observations of galaxy haloes
journal, August 1994


The case Against warm or Self-Interacting dark Matter as Explanations for Cores in low Surface Brightness Galaxies
journal, February 2010

  • Kuzio de Naray, Rachel; Martinez, Gregory D.; Bullock, James S.
  • The Astrophysical Journal, Vol. 710, Issue 2
  • DOI: 10.1088/2041-8205/710/2/L161

Effective lagrangians for bound state problems in QED, QCD, and other field theories
journal, February 1986


Dark matter self-interactions and small scale structure
journal, February 2018


Technocosmology — could a technibaryon excess provide a “natural” missing mass candidate?
journal, December 1985


Dark matter models with uniquely spin-dependent detection possibilities
journal, June 2011


Dark Matter Substructure within Galactic Halos
journal, October 1999

  • Moore, Ben; Ghigna, Sebastiano; Governato, Fabio
  • The Astrophysical Journal, Vol. 524, Issue 1
  • DOI: 10.1086/312287

Dark matter heats up in dwarf galaxies
journal, January 2019

  • Read, J. I.; Walker, M. G.; Steger, P.
  • Monthly Notices of the Royal Astronomical Society, Vol. 484, Issue 1
  • DOI: 10.1093/mnras/sty3404

Single explanation for both baryon and dark matter densities
journal, February 1992


Observational and theoretical constraints on singular dark matter halos
journal, May 1994

  • Flores, Ricardo A.; Primack, Joel R.
  • The Astrophysical Journal, Vol. 427
  • DOI: 10.1086/187350

New macroscopic forces?
journal, July 1984


Explosive Dark Matter Annihilation
journal, January 2004


Über die Beugung und Bremsung der Elektronen
journal, January 1931


The sign of the dipole–dipole potential by axion exchange
journal, September 2017


The APOSTLE simulations: solutions to the Local Group's cosmic puzzles
journal, February 2016

  • Sawala, Till; Frenk, Carlos S.; Fattahi, Azadeh
  • Monthly Notices of the Royal Astronomical Society, Vol. 457, Issue 2
  • DOI: 10.1093/mnras/stw145

Effective theory of self-interacting dark matter
journal, October 2013


Too big to fail? The puzzling darkness of massive Milky Way subhaloes: Massive dark subhaloes in the Milky Way
journal, June 2011

  • Boylan-Kolchin, Michael; Bullock, James S.; Kaplinghat, Manoj
  • Monthly Notices of the Royal Astronomical Society: Letters, Vol. 415, Issue 1
  • DOI: 10.1111/j.1745-3933.2011.01074.x

Sommerfeld enhancement from Goldstone pseudo-scalar exchange
text, January 2009


The Case Against Warm or Self-Interacting Dark Matter as Explanations for Cores in Low Surface Brightness Galaxies
text, January 2009


On dark matter models with uniquely spin-dependent detection possibilities
text, January 2010


Spin-Dependent Macroscopic Forces from New Particle Exchange
text, January 2006