Lifshitz-sector mediated SUSY breaking

Abstract

We propose a novel mechanism of SUSY breaking by coupling a Lorentz-invariant supersymmetric matter sector to non-supersymmetric gravitational interactions with Lifshitz scaling. The improved UV properties of Lifshitz propagators moderate the otherwise uncontrollable ultraviolet divergences induced by gravitational loops. This ensures that both the amount of induced Lorentz violation and SUSY breaking in the matter sector are controlled by Lambda_HL^2/M_P^2, the ratio of the Horava-Lifshitz cross-over scale Lambda_HL to the Planck scale M_P. This ratio can be kept very small, providing a novel way of explicitly breaking supersymmetry without reintroducing fine-tuning. We illustrate our idea by considering a model of scalar gravity with Horava-Lifshitz scaling coupled to a supersymmetric Wess-Zumino matter sector, in which we compute the two-loop SUSY breaking corrections to the masses of the light scalars due to the gravitational interactions and the heavy fields.

18 pages, 2 figures

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• Lifshitz-scaling to Lorentz-violating high derivative operator and gamma-ray busts
• Revisiting Lorentz violation in Horava gravity
• The uninvited guest in mixed derivative Hořava Gravity
• Universal horizons and black hole spectroscopy in gravitational theories with broken Lorentz symmetry
• Searches for violation of Lorentz invariance in top quark pair production using dilepton events in 13 TeV proton-proton collisions
• Lorentz-symmetry violating physics in a supersymmetric scenario in $(2+1)$-D