Continuum-mediated self-interacting dark matter

A bstract Dark matter may self-interact through a continuum of low-mass states. This happens if dark couples to strongly-coupled nearly-conformal hidden sector. type theory is holographically described by brane-localized interacting with bulk fields in slice 5D anti-de Sitter space. The long-range potential this scenario depends on non-integer power the spatial separation, contrast Yukawa generated exchange single 4D mediator. resulting self-interaction cross section scales like velocity. We identify Born, classical and resonant regimes investigate them using state-of-the-art numerical methods. demonstrate viability our continuum-mediated framework address astrophysical small-scale structure anomalies. Investigating Sommerfeld enhancement, we that pattern resonances can occur depending power. conclude mediators introduce novel power-law scalings which open new possibilities for phenomenology.