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arXiv 1408.4459hep-ph
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用无标度超引力应对弱电微调

Confronting Electroweak Fine-tuning with No-Scale Supergravity

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

摘要:

将重统一尺度下的无标度超引力边界条件应用于具有TeV尺度额外类矢量多重态的Flipped $SU(5)$大统一理论,$i.e.$无标度${\cal F}$,我们将$Z$ -玻色子质量$M_Z$表示为边界规范子质量$M_{1/2}$,$M_Z^2 = M_Z^2 (M_{1/2}^2)$,其中隐式依赖于超对称希格斯混合参数$μ$和$M_{1/2}$的无量纲比$c$。将与$m_t = 174.3$ GeV一致的顶部Yukawa耦合设置为$M_Z = 91.2$ GeV,$c$的值自然倾向于$c \simeq 1$,这间接表明了Giudice-Masiero机制的潜在作用。在无标度${\cal F}$ - $SU(5)$模型中,所有模型标度对统一的规范子质量$M_{1/2}$的比例依赖性表明了一种可能的机制来对抗电弱微调问题.

英文摘要:

Applying No-Scale Supergravity boundary conditions at a heavy unification scale to the Flipped $SU(5)$ grand unified theory with extra TeV-scale vector-like multiplets, $i.e.$ No-Scale ${\cal F}$-$SU(5)$, 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 $c \simeq 1$, 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 ${\cal F}$-$SU(5)$ model suggests one possible mechanism of confronting the electroweak fine tuning problem.

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