# 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:

- Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, OX1 3NP Oxford (United Kingdom)
- Fakultät für Physik, TU Dortmund, Otto-Hahn-Str. 4, D-44221 Dortmund (Germany)
- Department of Physics, University of California-San Diego, 9500 Gilman Dr., La Jolla, CA 92093 (United States)
- 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}

}