Precision Corrections to Fine Tuning in SUSY

Abstract

Requiring that the contributions of supersymmetric particles to the Higgs mass are not highly tuned places upper limits on the masses of superpartners -- in particular the higgsino, stop, and gluino. We revisit the details of the tuning calculation and introduce a number of improvements, including RGE resummation, two-loop effects, a proper treatment of UV vs. IR masses, and threshold corrections. This improved calculation more accurately connects the tuning measure with the physical masses of the superpartners at LHC-accessible energies. After these refinements, the tuning bound on the stop is now also sensitive to the masses of the 1st and 2nd generation squarks, which limits how far these can be decoupled in Effective SUSY scenarios. We find that, for a fixed level of tuning, our bounds can allow for heavier gluinos and stops than previously considered. Despite this, the natural region of supersymmetry is under pressure from the LHC constraints, with high messenger scales particularly disfavored.

26 pages, 8 figures

References in corpus (5)

• Supersymmetry, Naturalness, and Signatures at the LHC
• Light non-degenerate squarks at the LHC
• Maximally Natural Supersymmetry
• What is a Natural SUSY scenario?
• The Minimally Tuned Minimal Supersymmetric Standard Model

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• The current status of fine-tuning in supersymmetry
• Digging Deeper for New Physics in the LHC Data
• Supersoft Stops
• Magnifying the ATLAS Stealth Stop Splinter: Impact of Spin Correlations and Finite Widths
• Impact of an extra gauge interaction on naturalness of supersymmetry
• Non-perturbative reheating and Nnaturalness