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Title: From quarks to nucleons in dark matter direct detection

Abstract

We provide expressions for the nonperturbative matching of the effective field theory describing dark matter interactions with quarks and gluons to the effective theory of nonrelativistic dark matter interacting with nonrelativistic nucleons. We give expressions of leading and subleading order in chiral counting. In general, a single partonic operator matches onto several nonrelativistic operators already at leading order in chiral counting. Keeping only one operator at the time in the nonrelativistic effective theory thus does not properly describe the scattering in direct detection. The matching of the axial-axial partonic level operator, as well as the matching of the operators coupling DM to the QCD anomaly term, include naively momentum suppressed terms. Furthermore, these are still of leading chiral order due to pion poles and can be numerically important.

Authors:
 [1];  [2];  [3];  [4]
  1. Univ. of Oxford, Oxford (United Kingdom). Rudolf Peierls Centre for Theoretical Physics
  2. Technische Univ. of Dortmund, Dortmund (Germany). Fakultat fur Physik
  3. Univ. of California-San Diego, La Jolla, CA (United States). Dept. of Physics
  4. Univ. of Cincinnati, Cincinnati, OH (United States). Dept. of Physics; European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theory Div.
Publication Date:
Research Org.:
Univ. of California, San Diego, CA (United States); Univ. of Cincinnati, Cincinnati, OH (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1503650
Grant/Contract Number:  
SC0009919; SC0011784
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; Beyond Standard Model; Chiral Lagrangians

Citation Formats

Bishara, Fady, Brod, Joachim, Grinstein, Benjamin, and Zupan, Jure. From quarks to nucleons in dark matter direct detection. United States: N. p., 2017. Web. doi:10.1007/jhep11(2017)059.
Bishara, Fady, Brod, Joachim, Grinstein, Benjamin, & Zupan, Jure. From quarks to nucleons in dark matter direct detection. United States. https://doi.org/10.1007/jhep11(2017)059
Bishara, Fady, Brod, Joachim, Grinstein, Benjamin, and Zupan, Jure. Fri . "From quarks to nucleons in dark matter direct detection". United States. https://doi.org/10.1007/jhep11(2017)059. https://www.osti.gov/servlets/purl/1503650.
@article{osti_1503650,
title = {From quarks to nucleons in dark matter direct detection},
author = {Bishara, Fady and Brod, Joachim and Grinstein, Benjamin and Zupan, Jure},
abstractNote = {We provide expressions for the nonperturbative matching of the effective field theory describing dark matter interactions with quarks and gluons to the effective theory of nonrelativistic dark matter interacting with nonrelativistic nucleons. We give expressions of leading and subleading order in chiral counting. In general, a single partonic operator matches onto several nonrelativistic operators already at leading order in chiral counting. Keeping only one operator at the time in the nonrelativistic effective theory thus does not properly describe the scattering in direct detection. The matching of the axial-axial partonic level operator, as well as the matching of the operators coupling DM to the QCD anomaly term, include naively momentum suppressed terms. Furthermore, these are still of leading chiral order due to pion poles and can be numerically important.},
doi = {10.1007/jhep11(2017)059},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2017,
place = {United States},
year = {2017},
month = {11}
}

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Cited by: 34 works
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