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We propose to look for the Odderon through the production of two pion pairsin photon collisions at high energies. We calculate the corresponding matrixelements in kT-factorization and discuss the possibility to reveal theexistence of the perturbative Odderon by charge asymmetries, relying on modelsfor the generalized distribution amplitudes of pi+ pi-. The application of thisstrategy to ultraperipheral collisions at the LHC suffers from the difficultyto trigger on interesting events and is plagued with severe background problemsin p-p mode. Electron - positron colliders like ILC seem to better suit thisphysics.

Pomeron Odderon interference in production of two pi+ pi- pairs at LHC and ILC