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We determine the bosonic part of the superstring sigma model Lagrangian on$\eta$-deformed AdS5 x S5, and use it to compute the perturbative world-sheetscattering matrix of bosonic particles of the model. We then compare it withthe large string tension limit of the q-deformed S-matrix and find exactagreement.

S-matrix for strings on $\eta$-deformed AdS5 x S5