Neutralino-Nucleon Scattering Revisited

TL;DR

A class of terms that survive even in the absence of mixing in both the neutralino and squark sectors are identified; the corresponding quark and gluon operators also appear in analyses of deep-inelastic lepton-nucleon scattering ("twist-2 operators"), so their hadronic matrix elements are well known.

Abstract

We present a detailed discussion of the elastic scattering of a supersymmetric neutralino off a nucleon or nucleus, with emphasis on the spin--independent interaction. We carefully treat QCD effects on the squark exchange contribution. In particular, we identify a class of terms that survive even in the absence of mixing in both the neutralino and squark sectors; the corresponding quark and gluon operators also appear in analyses of deep--inelastic lepton--nucleon scattering (``twist--2 operators''), so their hadronic matrix elements are well known. We also re--emphasize the importance of mixing between the superpartners of left-- and right--handed quarks, and of the contribution from the heavier scalar Higgs boson. We use our refined calculation of the scattering amplitude to update predictions of signal rates for cosmic relic neutralino searches with Germanium detectors. In general the counting rate varies strongly with the values (even the signs) of model parameters; typical results lie between a few times $10^{-4}$ and a few times $10^{-1}$ events/(kg$\cdot$day).