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Title: Chiral effective theory of dark matter direct detection

Abstract

We present the effective field theory for dark matter interactions with the visible sector that is valid at scales of O(1 GeV). Starting with an effective theory describing the interactions of fermionic and scalar dark matter with quarks, gluons and photons via higher dimension operators that would arise from dimension-five and dimension-six operators above electroweak scale, we perform a nonperturbative matching onto a heavy baryon chiral perturbation theory that describes dark matter interactions with light mesons and nucleons. This is then used to obtain the coefficients of the nuclear response functions using a chiral effective theory description of nuclear forces. Our results consistently keep the leading contributions in chiral counting for each of the initial Wilson coefficients.

Authors:
 [1];  [2];  [3];  [4]
  1. Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, OX1 3NP Oxford (United Kingdom)
  2. Fakultät für Physik, TU Dortmund, Otto-Hahn-Str. 4, D-44221 Dortmund (Germany)
  3. Department of Physics, University of California-San Diego, 9500 Gilman Dr., La Jolla, CA 92093 (United States)
  4. Department of Physics, University of Cincinnati, 400 Geology/Physics Bldg., Cincinnati, Ohio 45221 (United States)
Publication Date:
OSTI Identifier:
22680045
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2017; Journal Issue: 02; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRALITY; DETECTION; DISTURBANCES; FIELD THEORIES; GEV RANGE; INTERACTIONS; MESONS; NONLUMINOUS MATTER; NUCLEAR FORCES; NUCLEONS; PERTURBATION THEORY; PHOTONS; QUANTUM FIELD THEORY; QUARKS; RESPONSE FUNCTIONS; VISIBLE RADIATION

Citation Formats

Bishara, Fady, Brod, Joachim, Grinstein, Benjamin, and Zupan, Jure, E-mail: fady.bishara@physics.ox.ac.uk, E-mail: joachim.brod@tu-dortmund.de, E-mail: bgrinstein@ucsd.edu, E-mail: zupanje@ucmail.uc.edu. Chiral effective theory of dark matter direct detection. United States: N. p., 2017. Web. doi:10.1088/1475-7516/2017/02/009.
Bishara, Fady, Brod, Joachim, Grinstein, Benjamin, & Zupan, Jure, E-mail: fady.bishara@physics.ox.ac.uk, E-mail: joachim.brod@tu-dortmund.de, E-mail: bgrinstein@ucsd.edu, E-mail: zupanje@ucmail.uc.edu. Chiral effective theory of dark matter direct detection. United States. doi:10.1088/1475-7516/2017/02/009.
Bishara, Fady, Brod, Joachim, Grinstein, Benjamin, and Zupan, Jure, E-mail: fady.bishara@physics.ox.ac.uk, E-mail: joachim.brod@tu-dortmund.de, E-mail: bgrinstein@ucsd.edu, E-mail: zupanje@ucmail.uc.edu. Wed . "Chiral effective theory of dark matter direct detection". United States. doi:10.1088/1475-7516/2017/02/009.
@article{osti_22680045,
title = {Chiral effective theory of dark matter direct detection},
author = {Bishara, Fady and Brod, Joachim and Grinstein, Benjamin and Zupan, Jure, E-mail: fady.bishara@physics.ox.ac.uk, E-mail: joachim.brod@tu-dortmund.de, E-mail: bgrinstein@ucsd.edu, E-mail: zupanje@ucmail.uc.edu},
abstractNote = {We present the effective field theory for dark matter interactions with the visible sector that is valid at scales of O(1 GeV). Starting with an effective theory describing the interactions of fermionic and scalar dark matter with quarks, gluons and photons via higher dimension operators that would arise from dimension-five and dimension-six operators above electroweak scale, we perform a nonperturbative matching onto a heavy baryon chiral perturbation theory that describes dark matter interactions with light mesons and nucleons. This is then used to obtain the coefficients of the nuclear response functions using a chiral effective theory description of nuclear forces. Our results consistently keep the leading contributions in chiral counting for each of the initial Wilson coefficients.},
doi = {10.1088/1475-7516/2017/02/009},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 02,
volume = 2017,
place = {United States},
year = {Wed Feb 01 00:00:00 EST 2017},
month = {Wed Feb 01 00:00:00 EST 2017}
}
  • We extend and explore the general non-relativistic effective theory of dark matter (DM) direct detection. We describe the basic non-relativistic building blocks of operators and discuss their symmetry properties, writing down all Galilean-invariant operators up to quadratic order in momentum transfer arising from exchange of particles of spin 1 or less. Any DM particle theory can be translated into the coefficients of an effective operator and any effective operator can be simply related to most general description of the nuclear response. We find several operators which lead to novel nuclear responses. These responses differ significantly from the standard minimal WIMPmore » cases in their relative coupling strengths to various elements, changing how the results from different experiments should be compared against each other. Response functions are evaluated for common DM targets — F, Na, Ge, I, and Xe — using standard shell model techniques. We point out that each of the nuclear responses is familiar from past studies of semi-leptonic electroweak interactions, and thus potentially testable in weak interaction studies. We provide tables of the full set of required matrix elements at finite momentum transfer for a range of common elements, making a careful and fully model-independent analysis possible. Finally, we discuss embedding non-relativistic effective theory operators into UV models of dark matter.« less
  • We examine the consequences of the effective eld theory (EFT) of dark matter-nucleon scattering or current and proposed direct detection experiments. Exclusion limits on EFT coupling constants computed using the optimum interval method are presented for SuperCDMS Soudan, CDMS II, and LUX, and the necessity of combining results from multiple experiments in order to determine dark matter parameters is discussed. We demonstrate that spectral di*erences between the standard dark matter model and a general EFT interaction can produce a bias when calculating exclusion limits and when developing signal models for likelihood and machine learning techniques. We also discuss the implicationsmore » of the EFT for the next-generation (G2) direct detection experiments and point out regions of complementarity in the EFT parameter space.« less
  • We examine the consequences of the effective field theory (EFT) of dark matter–nucleon scattering for current and proposed direct detection experiments. Exclusion limits on EFT coupling constants computed using the optimum interval method are presented for SuperCDMS Soudan, CDMS II, and LUX, and the necessity of combining results from multiple experiments in order to determine dark matter parameters is discussed. We demonstrate that spectral differences between the standard dark matter model and a general EFT interaction can produce a bias when calculating exclusion limits and when developing signal models for likelihood and machine learning techniques. We also discuss the implicationsmore » of the EFT for the next-generation (G2) direct detection experiments and point out regions of complementarity in the EFT parameter space.« less
  • Dark matter direct detection searches for signals coming from dark matter scattering against nuclei at a very low recoil energy scale ∼ 10 keV. In this paper, a simple non-relativistic effective theory is constructed to describe interactions between dark matter and nuclei without referring to any underlying high energy models. It contains the minimal set of operators that will be tested by direct detection. The effective theory approach highlights the set of distinguishable recoil spectra that could arise from different theoretical models. If dark matter is discovered in the near future in direct detection experiments, a measurement of the shapemore » of the recoil spectrum will provide valuable information on the underlying dynamics. We bound the coefficients of the operators in our non-relativistic effective theory by the null results of current dark matter direct detection experiments. We also discuss the mapping between the non-relativistic effective theory and field theory models or operators, including aspects of the matching of quark and gluon operators to nuclear form factors.« less
  • We extend and explore the general non-relativistic effective theory of dark matter (DM) direct detection. We describe the basic non-relativistic building blocks of operators and discuss their symmetry properties, writing down all Galilean-invariant operators up to quadratic order in momentum transfer arising from exchange of particles of spin 1 or less. Any DM particle theory can be translated into the coefficients of an effective operator and any effective operator can be simply related to most general description of the nuclear response. We find several operators which lead to novel nuclear responses. These responses differ significantly from the standard minimal WIMPmore » cases in their relative coupling strengths to various elements, changing how the results from different experiments should be compared against each other. Response functions are evaluated for common DM targets — F, Na, Ge, I, and Xe — using standard shell model techniques. We point out that each of the nuclear responses is familiar from past studies of semi-leptonic electroweak interactions, and thus potentially testable in weak interaction studies. We provide tables of the full set of required matrix elements at finite momentum transfer for a range of common elements, making a careful and fully model-independent analysis possible. Finally, we discuss embedding non-relativistic effective theory operators into UV models of dark matter.« less