Zero-range effective field theory for resonant wino dark matter. Part I. Framework
Abstract
The most dramatic “Sommerfeld enhancements” of neutral-wino-pair annihilation occur when the wino mass is near a critical value where there is a zero-energy S-wave resonance at the neutral-wino-pair threshold. Near such a critical mass, low-energy winos can be described by a zero-range effective field theory in which the winos interact nonperturbatively through a contact interaction. The effective field theory is controlled by a renormalization-group fixed point at which the neutral and charged winos are degenerate in mass and their scattering length is infinite. The parameters of the zero-range effective field theory 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 weak gauge bosons. If the wino mass is larger than the critical value, the resonance is a wino-pair bound state. As a result, the power of the zero-range effective field theory is illustrated by calculating the rate for formation of the bound state in the collision of two neutral winos through the emission of two soft photons.
- Authors:
-
- The Ohio State Univ., Columbus, OH (United States). Dept. of Physics
- Publication Date:
- Research Org.:
- Ohio State Univ., Columbus (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1499187
- Grant/Contract Number:
- SC0011726
- 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: 2017; Journal Issue: 11; 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 I. Framework. United States: N. p., 2017.
Web. doi:10.1007/jhep11(2017)108.
Braaten, Eric, Johnson, Evan, & Zhang, Hong. Zero-range effective field theory for resonant wino dark matter. Part I. Framework. United States. https://doi.org/10.1007/jhep11(2017)108
Braaten, Eric, Johnson, Evan, and Zhang, Hong. Fri .
"Zero-range effective field theory for resonant wino dark matter. Part I. Framework". United States. https://doi.org/10.1007/jhep11(2017)108. https://www.osti.gov/servlets/purl/1499187.
@article{osti_1499187,
title = {Zero-range effective field theory for resonant wino dark matter. Part I. Framework},
author = {Braaten, Eric and Johnson, Evan and Zhang, Hong},
abstractNote = {The most dramatic “Sommerfeld enhancements” of neutral-wino-pair annihilation occur when the wino mass is near a critical value where there is a zero-energy S-wave resonance at the neutral-wino-pair threshold. Near such a critical mass, low-energy winos can be described by a zero-range effective field theory in which the winos interact nonperturbatively through a contact interaction. The effective field theory is controlled by a renormalization-group fixed point at which the neutral and charged winos are degenerate in mass and their scattering length is infinite. The parameters of the zero-range effective field theory 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 weak gauge bosons. If the wino mass is larger than the critical value, the resonance is a wino-pair bound state. As a result, the power of the zero-range effective field theory is illustrated by calculating the rate for formation of the bound state in the collision of two neutral winos through the emission of two soft photons.},
doi = {10.1007/jhep11(2017)108},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2017,
place = {United States},
year = {Fri Nov 17 00:00:00 EST 2017},
month = {Fri Nov 17 00:00:00 EST 2017}
}
Web of Science
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