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 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.

47 pages, 8 figures. Improved discussion, corrected typographical errors, updated references

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• Constraints on Dark Matter from Colliders
• Non-relativistic effective theory of dark matter direct detection
• The Deuteron Spin-dependent Structure Function g1d and its First Moment
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• Transverse spin structure of the nucleon from lattice QCD simulations
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• Three Exceptions to the Grossman-Nir Bound
• A Module For Boosted Dark Matter Event Generation in GENIE
• Assessing the sensitivity of PINGU to effective dark matter-nucleon interactions
• A DAMA/Libra-phase2 analysis in terms of WIMP-quark and WIMP-gluon effective interactions up to dimension seven