Small-x divergences of Abelian gauge theory in the front form of Hamiltonian dynamics are regulated using a mass parameter for gauge bosons, introduced through a mechanism analogous to the spontaneous breaking of global gauge symmetry. A corresponding family of ultraviolet and infrared finite scale-dependent renormalized Hamiltonians, is calculable order-by-order using the renormalization group procedure for effective particles. The second-order terms described here suggest the magnitude of mass corrections that may be involved in resolving the small-x parton and front-form vacuum and zero-mode problems, assuming that the gauge boson mass that counts does not exceed the current upper bound on the photon mass.