Tachyonic Squarks in Split Supersymmetry

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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15 pages, 10 figures. Extended discussion, typos corrected, references added. Version to appear in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2005.06.046

The decoupling of scalar particles in split supersymmetry makes the spectrum of squarks irrelevant for low energy processes. Nevertheless, the structure of the vacuum is sensitive to the spectrum of squarks, even when the supersymmetry breaking scale is large. In this note, we show that in certain regions of the parameter space, squarks could develop radiatively tachyonic masses, thus breaking electric charge and color. We discuss the constraints that follow from the requirement of charge and color conservation, and we comment on the implications for model building.

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