Universal behavior in the scattering of heavy, weakly interacting dark matter on nuclear targets

Understand

Particles that are heavy compared to the electroweak scale ($M \gg m_W$), and that are charged under electroweak SU(2) gauge interactions display universal properties such as a characteristic fine structure in the mass spectrum induced by electroweak symmetry breaking, and an approximately universal cross section for scattering on nuclear targets.

• The heavy particle effective theory framework is developed to compute these properties.
• As illustration, the spin independent cross section for low-velocity scattering on a nucleon is evaluated in the limit $M \gg m_W$, including complete leading-order matching onto quark and gluon operators, renormalization analysis, and systematic treatment of perturbative and hadronic-input uncertainties.