Searches for New Physics at HERA

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The latest results from the H1 and ZEUS collaborations are presented on rare Standard Model processes and searches for physics Beyond the Standard Model. Intriguing events containing high transverse momentum leptons are observed by H1 and many competitive limits are set by both collaborations on the production of new particles in a variety of supersymmetry scenarios.
10 pages, 11 figures, proceedings of the talk given at the HSQCD'05 conference on behalf of the H1 and ZEUS collaborations

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