Power Corrections to the Universal Heavy WIMP-Nucleon Cross Section

Abstract

WIMP-nucleon scattering is analyzed at order $1/M$ in Heavy WIMP Effective Theory. The $1/M$ power corrections, where $M\gg m_W$ is the WIMP mass, distinguish between different underlying UV models with the same universal limit and their impact on direct detection rates can be enhanced relative to naive expectations due to generic amplitude-level cancellations at leading order. The necessary one- and two-loop matching calculations onto the low-energy effective theory for WIMP interactions with Standard Model quarks and gluons are performed for the case of an electroweak SU(2) triplet WIMP, considering both the cases of elementary fermions and composite scalars. The low-velocity WIMP-nucleon scattering cross section is evaluated and compared with current experimental limits and projected future sensitivities. Our results provide the most robust prediction for electroweak triplet Majorana fermion dark matter direct detection rates; for this case, a cancellation between two sources of power corrections yields a small total $1/M$ correction, and a total cross section close to the universal limit for $M\gtrsim \mathrm{few}\times 100\mathrm{GeV}$. For the SU(2) composite scalar, the $1/M$ corrections introduce dependence on underlying strong dynamics. Using a leading chiral logarithm evaluation, the total $1/M$ correction has a larger magnitude and uncertainty than in the fermionic case, with a sign that further suppresses the total cross section. These examples provide definite targets for future direct detection experiments and motivate large scale detectors capable of probing to the neutrino floor in the TeV mass regime.

12 pages, 4 figures; references added, XENONnT projection included, version to appear in Physics Letters B

References in corpus (18)

• Parton distributions for the LHC
• Results from a search for dark matter in the complete LUX exposure
• Dark Matter Candidates from Particle Physics and Methods of Detection
• Dark Matter Results From 54-Ton-Day Exposure of PandaX-II Experiment
• Cosmology and Astrophysics of Minimal Dark Matter
• Non-perturbative Effect on Thermal Relic Abundance of Dark Matter
• Neutralino Dark Matter at 14 and 100 TeV
• Standard Model anatomy of WIMP dark matter direct detection II: QCD analysis and hadronic matrix elements
• Search for long-lived charginos based on a disappearing-track signature in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Gluon contribution to the dark matter direct detection
• Relic densities including Sommerfeld enhancements in the MSSM
• Search for disappearing tracks in proton-proton collisions at sqrt(s) = 8 TeV
• Heavy Dark Matter Annihilation from Effective Field Theory
• The Inelastic Frontier: Discovering Dark Matter at High Recoil Energy
• Wino-like Minimal Dark Matter and future colliders
• Soft Collinear Effective Theory for Heavy WIMP Annihilation
• Resummed Photon Spectra for WIMP Annihilation
• QCD Effects on Direct Detection of Wino Dark Matter

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• General Heavy WIMP Nucleon Elastic Scattering