Supersoft Top Squarks.

Timothy Cohen,Matthew Mccullough,Nathaniel Craig,Seth Koren,Joseph Tooby-Smith

doi:10.1103/physrevlett.125.151801

Abstract

In a supersymmetric theory, the IR contributions to the Higgs mass are calculable below the mediation scale Λ_{UV} in terms of the IR field content and parameters. However, logarithmic sensitivity to physics at Λ_{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.

Highlights

In this Letter, we present a first example of a framework, dictated by symmetries, to supersoften these logarithms from the matter sector
If the mass scale of such fields is mthen the underlying dependence of the Higgs mass on the UV physics at ΛUV is softened from a quadratic sensitivity δM2H ∝ Λ2UV, to a logarithmic one δM2H ∝ m 2= ð16π2Þ logðΛUV=m Þ
In this Letter, we investigate to what extent the scaling δM2H ∝ m 2=ð16π2Þ logðΛUV=m Þ is inevitable

Summary

Supersoft Top Squarks

Timothy Cohen ,1 Nathaniel Craig, Seth Koren ,2 Matthew McCullough, and Joseph Tooby-Smith 5. 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. If the mass scale of such fields is mthen the underlying dependence of the Higgs mass on the UV physics at ΛUV is softened from a quadratic sensitivity δM2H ∝ Λ2UV, to a logarithmic one δM2H ∝ m 2= ð16π2Þ logðΛUV=m Þ. This remaining logarithmic sensitivity to ΛUV betrays the fact that m ≪ ΛUV can be naturally accommodated, the Higgs mass is only truly calculable if one knows the complete theoretical picture at ΛUV. A UV conspiracy enforces an additional cancellation to remove logs, a phenomenon we will call “logging.” In practice, this amounts to creating an equal-and-

Published by the American Physical Society

WS λðS