Constraining axionlike particles using the distance-duality relation

One of the fundamental results used in observational cosmology is the distance duality relation (DDR), which relates the luminosity distance, ${\mathrm{D}}_{\mathrm{L}}$, with angular diameter distance, ${\mathrm{D}}_{\mathrm{A}}$, at a given redshift $z$. We employ the observed limits of this relation to constrain the coupling of axionlike particles (ALPs) with photons. With our detailed $3D$ ALP-photon mixing simulation in standard $\mathrm{\ensuremath{\Lambda}}\mathrm{CDM}$ universe and latest DDR limits observed in Holanda and Barros [Phys. Rev. D 94, 023524 (2016)]. we limit the coupling constant ${g}_{\ensuremath{\phi}}\ensuremath{\le}6\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}13}\text{ }\text{ }{\mathrm{GeV}}^{\ensuremath{-}1}(\frac{nG}{⟨B{⟩}_{\mathrm{Mpc}}})$ for ALPs of mass $\ensuremath{\le}{10}^{\ensuremath{-}15}\text{ }\text{ }\mathrm{eV}$. The DDR observations can provide very stringent constraint on ALPs mixing in the future. Also any deviation in DDR can be conventionally explained as photons decaying to axions or vice-versa.