论文标题

大统一的$μ$ - 问题

Absence of $μ$-Problem in Grand Unification

论文作者

Dvali, Gia, Jankowsky, Anna

论文摘要

使用Goldstino的属性,我们表明,在通用大统一理论中,重力介导的超对称性破坏了$μ$ - 问题是不存在的。发生的事情是,超对称打破了普遍诱导产生$μ$和$b_μ$项的重场的变化。按领先顺序,这些是由Gravitino的质量给出的,对大统一的规模不敏感。该机制是否可以通过微调来实现双重划分。此外,我们在实现双重划分的理论的明确示例上说明了这种一般现象。这些包括带有希格斯双重曲线的理论,作为伪石玻色子,以及基于夸克和叶子的浅色三曲线的自发解耦的方法。

Using properties of Goldstino, we show that in generic grand unified theories with gravity-mediated supersymmetry breaking the $μ$-problem is non-existent. What happens is that supersymmetry breaking universally induces the shifts of the heavy fields that generate $μ$ and $B_μ$ terms. In the leading order, these are given by the mass of gravitino and are insensitive to the scale of grand unification. The mechanism works regardless whether doublet-triplet splitting is achieved via fine-tuning or not. Moreover, we illustrate this general phenomenon on explicit examples of theories that achieve doublet-triplet splitting dynamically. These include the theories with Higgs doublet as a pseudo-Goldstone boson, as well as, the approach based on spontaneous decoupling of the light color-triplet from quarks and leptons.

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