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We study the effects of strong coupling of a localized state charge toone-dimensional electronic channels out of equilibrium. While the state of thischarge and the coupling strengths determine the scattering phase shifts in thechannels, the nonequilibrium partitioning noise induces the tunnelingtransitions to the localized state. The strong coupling leads to anonperturbative backaction effect which is manifested in the orthogonalitycatastrophe and the Fermi-edge singularity in the transition rates. We predictan unusually pronounced manifestation of the non-Gaussian component of noisethat breaks the charge symmetry, resulting in a nontrivial shape, and a shiftof the position of the tunneling resonance.

Fermi-edge singularity in chiral one-dimensional systems far from equilibrium