Phys. Rev. Lett. 94, 081601 (2005) [4 pages]Lorentz Violation in Supersymmetric Field TheoriesReceived 26 May 2004; revised 26 October 2004; published 2 March 2005 We construct supersymmetric Lorentz violating operators for matter and gauge fields. We show that in the supersymmetric standard model the lowest possible dimension for such operators is five, and therefore they are suppressed by at least one power of an ultraviolet energy scale, providing a possible explanation for the smallness of Lorentz violation and its stability against radiative corrections. Supersymmetric Lorentz noninvariant operators do not lead to modifications of dispersion relations at high energies thereby escaping constraints from astrophysical searches for Lorentz violation. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.94.081601
DOI:
10.1103/PhysRevLett.94.081601
PACS:
11.30.Pb, 11.30.Cp
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