# Zero-range effective field theory for resonant wino dark matter. Part II. Coulomb resummation

## Abstract

Near a critical value of the wino mass where there is a zero-energy S-wave resonance at the neutral-wino-pair threshold, low-energy winos can be described by a zero-range effective field theory (ZREFT) in which the winos interact nonperturbatively through a contact interaction and charged winos also have electromagnetic interactions. At energies near the wino-pair thresholds, the Coulomb interaction from photon exchange between charged winos must also be treated nonperturbatively. The parameters of ZREFT can be determined by matching wino-wino scattering amplitudes calculated by solving the Schrödinger equation for winos interacting through a potential due to the exchange of electroweak gauge bosons. As a result with Coulomb resummation, ZREFT at leading order gives a good description of the low-energy two-body observables for winos.

- Authors:

- The Ohio State Univ., Columbus, OH (United States). Dept. of Physics

- Publication Date:

- Research Org.:
- The Ohio State Univ., Columbus, OH (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1499183

- Grant/Contract Number:
- SC0011726

- Resource Type:
- Journal Article: Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- Journal Volume: 2018; Journal Issue: 2; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Supersymmetry Phenomenology

### Citation Formats

```
Braaten, Eric, Johnson, Evan, and Zhang, Hong.
```*Zero-range effective field theory for resonant wino dark matter. Part II. Coulomb resummation*. United States: N. p., 2018.
Web. doi:10.1007/jhep02(2018)150.

```
Braaten, Eric, Johnson, Evan, & Zhang, Hong.
```*Zero-range effective field theory for resonant wino dark matter. Part II. Coulomb resummation*. United States. doi:10.1007/jhep02(2018)150.

```
Braaten, Eric, Johnson, Evan, and Zhang, Hong. Fri .
"Zero-range effective field theory for resonant wino dark matter. Part II. Coulomb resummation". United States. doi:10.1007/jhep02(2018)150. https://www.osti.gov/servlets/purl/1499183.
```

```
@article{osti_1499183,
```

title = {Zero-range effective field theory for resonant wino dark matter. Part II. Coulomb resummation},

author = {Braaten, Eric and Johnson, Evan and Zhang, Hong},

abstractNote = {Near a critical value of the wino mass where there is a zero-energy S-wave resonance at the neutral-wino-pair threshold, low-energy winos can be described by a zero-range effective field theory (ZREFT) in which the winos interact nonperturbatively through a contact interaction and charged winos also have electromagnetic interactions. At energies near the wino-pair thresholds, the Coulomb interaction from photon exchange between charged winos must also be treated nonperturbatively. The parameters of ZREFT can be determined by matching wino-wino scattering amplitudes calculated by solving the Schrödinger equation for winos interacting through a potential due to the exchange of electroweak gauge bosons. As a result with Coulomb resummation, ZREFT at leading order gives a good description of the low-energy two-body observables for winos.},

doi = {10.1007/jhep02(2018)150},

journal = {Journal of High Energy Physics (Online)},

issn = {1029-8479},

number = 2,

volume = 2018,

place = {United States},

year = {2018},

month = {2}

}