Connection between a possible fifth force and the direct detection of Dark Matter

Abstract

If there is a fifth force in the dark sector and dark sector particles interact non-gravitationally with ordinary matter, quantum corrections generically lead to a fifth force in the visible sector. We show how the strong experimental limits on fifth forces in the visible sector constrain the direct detection cross section, and the strength of the fifth force in the dark sector. If the latter is comparable to gravity, the spin-independent direct detection cross section must typically be <~ 10^{-55} cm^2. The anomalous acceleration of ordinary matter falling towards dark matter is also constrained: η_{OM-DM} <~ 10^{-8}.

4 pages, 2 figures. v3: contains a more detailed treatment of the spin-dependence of the effective interaction between dark matter and ordinary matter

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