Confronting Electroweak Fine-tuning with No-Scale Supergravity

Tristan Leggett; Tianjun Li; James A. Maxin; Dimitri V. Nanopoulos; Joel W. Walker

doi:10.1016/j.physletb.2014.11.023

paper

Confronting Electroweak Fine-tuning with No-Scale Supergravity

arXiv:1408.4459 · doi:10.1016/j.physletb.2014.11.023

Abstract

Applying No-Scale Supergravity boundary conditions at a heavy unification scale to the Flipped $S U (5)$ grand unified theory with extra TeV-scale vector-like multiplets, $i . e .$ No-Scale $F$ - $S U (5)$ , we express the $Z$ -boson mass $M_{Z}$ as an explicit function of the boundary gaugino mass $M_{1/2}$ , $M_{Z}^{2} = M_{Z}^{2} (M_{1/2}^{2})$ , with implicit dependence upon a dimensionless ratio $c$ of the supersymmetric Higgs mixing parameter $μ$ and $M_{1/2}$ . Setting the top Yukawa coupling consistent with $m_{t} = 174.3$ GeV at $M_{Z} = 91.2$ GeV, the value of $c$ naturally tends toward $c ≃ 1$ , which indirectly suggests underlying action of the Giudice-Masiero mechanism. Proportional dependence of all model scales upon the unified gaugino mass $M_{1/2}$ in the No-Scale $F$ - $S U (5)$ model suggests one possible mechanism of confronting the electroweak fine tuning problem.

Physics Letters B version; 8 Pages, 7 Figures, 1 Table

Confronting Electroweak Fine-tuning with No-Scale Supergravity

Abstract

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