Abstract
In this letter we investigate the possibility that dark matter and (massive)
neutrinos can interact via a simple, constant cross section. Building on
previous numerical efforts, we constrain this model with CMB, BAO and, in
particular, Lyman-$\alpha$ data. We find that the latter hint to a significant
departure from $Łambda$CDM, with a preference for an interaction strength
about 3$\sigma$ away from zero. We trace the origin of this preference back to
the additional tilt that the interacting scenario can imprint on the
Lyman-$\alpha$ flux, solving a well-known tension between early-time and
Lyman-$\alpha$ probes. Future work including complementary Lyman-$\alpha$ data
will be crucial in order to test these results.
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