In a supersymmetric theory, the IR contributions to the Higgs mass are calculable below the mediation scale ${\mathrm{\Lambda }}_{\mathrm{UV}}$ in terms of the IR field content and parameters. However, logarithmic sensitivity to physics at ${\mathrm{\Lambda }}_{\mathrm{UV}}$ remains. In this Letter, we present a first example of a framework, dictated by symmetries, to supersoften these logarithms from the matter sector. The result is a model with finite, IR-calculable corrections to the Higgs mass. This requires the introduction of new fields—the “lumberjacks”—whose role is to screen the UV-sensitive logs. These models have considerably reduced fine-tuning, by more than an order of magnitude for high-scale supersymmetry. This impacts interpretations of the natural parameter space, suggesting it may be premature to declare a naturalness crisis for high-scale supersymmetry.

• Received 26 May 2020
• Accepted 26 August 2020

DOI:https://doi.org/10.1103/PhysRevLett.125.151801

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Published by the American Physical Society