Generalized Supersoft Supersymmetry Breaking and a Solution to the μ Problem

Area of Science:

• High Energy Physics
• Theoretical Physics
• Particle Physics

Background:

• Supersoft models offer advantages over the Minimal Supersymmetric Standard Model (MSSM) by easing LHC constraints and resolving flavor/CP issues.
• Existing supersoft models face challenges in naturally obtaining the Higgsino mass parameter (μ) and achieving the observed 125 GeV Higgs boson mass.
• Supersoft models can suffer from color breaking and large T parameters due to new adjoint scalars.

Purpose of the Study:

• To propose a generalized supersoft supersymmetry breaking framework.
• To resolve existing challenges in supersoft models, including Higgs boson mass, naturalness of the μ term, and issues with adjoint scalars.
• To introduce novel operators that address these limitations.

Main Methods:

• Introduction of new operators into the supersoft model framework.
• Modification of the Higgs sector to allow for unequal masses for up- and down-type Higgs fields.
• Analysis of the implications for Higgsino masses and the T parameter.

Main Results:

• The proposed framework potentially solves issues related to Higgs boson mass and the naturalness of the μ term.
• The new μ term can lead to unequal masses for up- and down-type Higgs fields.
• Higginos can be significantly heavier than the Higgs boson without fine-tuning, though this may alter some attractive supersoft features.

Conclusions:

• The generalized supersoft supersymmetry breaking framework offers a potential solution to several outstanding problems in supersoft models.
• The novel mechanism for the μ term provides flexibility in Higgs and Higgsino masses.
• Further investigation is needed to fully understand the implications of unequal Higgs and Higgsino masses.