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In this paper we derive from field theory a L\"uscher-formula, which givesthe leading exponentially small in volume corrections to the 1-particleform-factors in non-diagonally scattering integrable quantum field theories.Our final formula is expressed in terms of appropriate expressions of 1- and3-particle form-factors, and can be considered as the generalization ofprevious results obtained for diagonally scattering bosonic integrable quantumfield theories. Since our formulas are also valid for fermions and operatorswith non-zero Lorentz-spin, we demonstrated our results in the Massive ThirringModel, and checked our formula against 1-loop perturbation theory findingperfect agreement.

L\"uscher-corrections for 1-particle form-factors in non-diagonally scattering integrable quantum field theories