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The Odderon remains an elusive object, 33 years after its invention. TheOdderon is now a fundamental object in QCD and CGC and it has to be foundexperimentally if QCD and CGC are right. In the present paper, we show how tofind it at RHIC and LHC. The most spectacular signature of the Odderon is thepredicted difference between the differential cross-sections for proton-protonand antiproton-proton at high s and moderate t. The experiment can be done byusing the STAR detector at RHIC and by combining these future data with thealready present UA4/2 data. The Odderon could also be found by ATLASexeperiment at LHC by performing a high-precision measurement of the real partof the hadron elastic scattering amplitude at small t.Comment: 14 pages, 16 figures, two typographical errors corrected and  acknowledgments adde

How can the odderon be detected at RHIC and LHC?