CMB test of the Higgs origin of dark-photon dark matter

Laboratory searches determine the mass and kinetic mixing of dark-photon dark matter. Cosmic microwave background isocurvature probes how its abundance depends on inflationary initial conditions. We formulate this dependence through the logarithmic response q eff = ∂ ln n A ′ / ∂ ln r i of the final vector number to the primordial dark-Higgs displacement. For a smooth local abundance map the separate-universe relation connects q eff to cold dark matter isocurvature. The uncorrelated Planck limit applies when the dark Higgs is a light and energetically subdominant spectator with weak inflaton mixing. In the quadratic conserved-number branch displacement-independent transfer gives q eff = 2 . The all-dark-matter bound then requires r i / H * > 3.5 × 10 4 . We calculate the dynamical map by evolving the radial mode and its tangent response through a smooth Abelian-Higgs crossover. The post-transition orbit gives the comoving action. The map contains positive, negative, and near-zero responses at finite transferred action. Tanh and error-function crossovers retain these branches. A thermal-mass profile and finite inflationary quartics shift their locations continuously. Stochastic duration and radiative stability then determine realization regions. Early symmetry breaking and momentum redshift add the remaining conditions. Low-energy measurements and the CMB response can distinguish Higgsed-vector cosmologies with identical present-day ( m A ′ , ε ) and relic abundance.

Hali tarjima qilinmagan