  In the novel stoichiometric iron-based material RbEuFe$_{4}$As$_{4}$
superconductivity coexists with a peculiar long-range magnetic order of Eu 4f
states. Using angle-resolved photoemission spectroscopy, we reveal a complex
three dimensional electronic structure and compare it with density functional
theory calculations. Multiple superconducting gaps were measured on various
sheets of the Fermi surface. High resolution resonant photoemission
spectroscopy reveals magnetic order of the Eu 4f states deep into the
superconducting phase. Both the absolute values and the anisotropy of the
superconducting gaps are remarkably similar to the sibling compound without Eu,
indicating that Eu magnetism does not affect the pairing of electrons. A
complete decoupling between Fe- and Eu-derived states was established from
their evolution with temperature, thus unambiguously demonstrating that
superconducting and a long range magnetic orders exist independently from each
other. The established electronic structure of RbEuFe$_{4}$As$_{4}$ opens
opportunities for the future studies of the highly unorthodox electron pairing
and phase competition in this family of iron-based superconductors with doping.
