Lorentz Violation in Supersymmetric Field Theories

Details Lorentz Violation in Supersymmetric Field Theories Lorentz Violation in Supersymmetric Field Theories

2004-04-29

arxiv.org/abs/hep-ph/0404271v4

Phys.Rev.Lett.94:081601,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

Minor corrections

Scientific paper

10.1103/PhysRevLett.94.081601

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 ultra--violet 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.

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