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Assuming for Weakly Interacting Massive Particles (WIMPs) a Maxwellianvelocity distribution in the Galaxy we explore in a systematic way the relativesensitivity of an extensive set of existing and projected Dark Matter (DM)direct detection experiments to each of the 14 couplings that parameterize themost general non-relativistic (NR) effective Hamiltonian allowed by Galileaninvariance for a contact interaction driving the elastic scattering off nucleiof WIMPs of spin 1/2. We perform our analysis in terms of two free parameters:the WIMP mass $m_{\chi}$ and the ratio between the WIMP-neutron and theWIMP-proton couplings $c^n/c^p$. We include the modified signal spectral shapedue to non-standard interactions when it is needed in the determination of thebound, such as in the case of background subtraction or of the application ofthe optimal-interval method. For each coupling, in the $m_{\chi}$-$c^n/c^p$plane we provide contour plots of the most stringent 90 % C.L. bound on theWIMP-nucleon cross section and show the experiment providing it. We alsointroduce NRDD_constraints, a simple interpolating code written in Python thatallows to obtain the numerical value of the bound as a function of the WIMPmass $m_{\chi}$ and of the coupling ratio $c^n/c^p$ for each NR coupling. Wefind that 9 experiments out of the 14 present Dark Matter searches consideredin our analysis provide the most stringent bound on some of the effectivecouplings for a given choice of $(m_{\chi},c^n/c^p)$: this is evidence of thecomplementarity of different target nuclei and/or different combinations ofcount-rates and energy thresholds when the search of DM is extended to a widerange of possible interactions.

Present and projected sensitivities of Dark Matter direct detection experiments to effective WIMP-nucleus couplings