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Title: 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:
 [1]; ORCiD logo [1];  [1]
  1. 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. doi: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. doi: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 = {2017},
month = {11}
}

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