Neutrino interactions with ultralight axion-like dark matter

In this work, we study the propagation of high energy neutrinos produced in extragalactic sources including effect a possible interaction with ultralight axion-like particles (UALP) mass $m_a\sim 10^{-22} {\rm eV}$ as constituents dark matter (DM) under assumption that their coupling to is dominant. We compute cross section and describe diffuse neutrino flux using transport equations for each eigenstate. This allows us obtain fluxes different flavors be observed at Earth telescopes assumptions flavor composition emitted normal ordering (NO) or an inverted (IO) masses. If UALPs same all ($g_{\nu a}$), find interactions change arriving on $g_{\nu a}\gtrsim 0.5\,{\rm GeV}^{-1}$, causing electron(muon) dominate NO(IO) case energies above $\sim 10^5\,{\rm GeV}$. Although current data ratios suggest UALP DM do not take place within range studied (particularly NO case) more needed improve precision experimentally measured composition.