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Bishara, Fady; Brod, Joachim; Grinstein, Benjamin; Zupan, Jure

From quarks to nucleons in dark matter direct detection. (English) Zbl 1383.81144

J. High Energy Phys. 2017, No. 11, Paper No. 59, 41 p. (2017).
Summary: 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. However, these are still of leading chiral order due to pion poles and can be numerically important.

Cited in 9 Documents

MSC:

81T16 Nonperturbative methods of renormalization applied to problems in quantum field theory
85A40 Astrophysical cosmology
81V05 Strong interaction, including quantum chromodynamics

Keywords:

beyond standard model; chiral Lagrangians
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References:

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