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Models with pure momentum exchange in the dark sector have been shown toprovide a promising scenario to tackle the tension in the clustering inferredfrom high- and low-redshift probes. A distinctive feature of these models isthat only the Euler equation for the dark matter component is modified and thecorrection is such that the net effect can be associated to an additionalfriction determined by the interaction rate. In this work, we show that thestrength of the interaction parameter needed to resolve the $\sigma_8$ tensioncould be detected from the dipole of the matter power spectrum that is expectedto be measured in upcoming surveys.

A smoking gun from the power spectrum dipole for elastic interactions in the dark sector