Axion effects on gamma-ray spectral irregularities with AGN redshift uncertainty

We investigate the photon-axionlike particle (ALP) oscillation effects on TeV gamma-ray spectral irregularities from the uncertain redshift active galactic nuclei (AGN) VER J0521+211. The gamma-ray spectra are measured by Fermi-LAT and VERITAS with the three flux states in 2013 and 2014. We set the combined constraints on the ALP parameter ($m_a,g_{a\gamma }$) space with these states and test the extragalactic background light (EBL) absorption effect on ALP constraints with the redshift limit scenarios $z_0\sim \mathcal{O}(0.1-0.3)$. The 99% $\mathrm{C}\mathrm{.}\mathrm{L}\mathrm{.}$ photon-ALP combined constraints set by VER J0521+211 are roughly at $g_{a\gamma }\gtrsim 2.0\times {10}^{-11}\mathrm{G}\mathrm{e}{\mathrm{V}}^{-1}$ for $1.0\times {10}^{-9}\mathrm{e}\mathrm{V}\lesssim m_a\lesssim 1.0\times {10}^{-7}\mathrm{e}\mathrm{V}$. We find no clear connection between the redshift limit scenarios and the photon-ALP constraints. Both the underestimated and overestimated redshifts can affect the constraint results.