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Article
Report number arXiv:1707.06998 ; DO-TH-17-10 ; OUTP-17-07P ; CERN-TH-2017-157
Title From quarks to nucleons in dark matter direct detection
Related titleFrom quarks to nucleons in dark matter direct detection
Author(s) Bishara, Fady (Oxford U., Theor. Phys.) ; Brod, Joachim (Tech. U., Dortmund (main)) ; Grinstein, Benjamin (UC, San Diego) ; Zupan, Jure (CERN ; Cincinnati U.)
Publication 2017-11-10
Imprint 2017-07-21
Number of pages 46
Note 47 pages, 8 figures. Improved discussion, corrected typographical errors, updated references
In: JHEP 11 (2017) 059
DOI 10.1007/JHEP11(2017)059
Subject category astro-ph.CO ; Astrophysics and Astronomy ; hep-ph ; Particle Physics - Phenomenology
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 the leading and subleading order expressions in chiral counting. In general, a single partonic operator already matches onto several nonrelativistic operators at leading order in chiral counting. Thus, keeping only one operator at the time in the nonrelativistic effective theory does not properly describe the scattering in direct detection. Moreover, the matching of the axial--axial partonic level operator, as well as the matching of the operators coupling DM to the QCD anomaly term, naively include momentum suppressed terms. However, these are still of leading chiral order due to pion poles and can be numerically important. We illustrate the impact of these effects with several examples.
Copyright/License arXiv nonexclusive-distrib. 1.0



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 Record created 2017-08-23, last modified 2021-11-13


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