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arXiv 1604.08588hep-phhep-th
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最小SUSY $B-L$模型:Wilson线与弦的同时发生

The Minimal SUSY $B-L$ Model: Simultaneous Wilson Lines and String Thresholds

Rehan Deen, Burt A. Ovrut, Austin Purves

摘要:

在以前的工作中,我们对最小超对称$B-L$模型的软超对称破缺参数进行了统计扫描。为了计算的特殊性,通过允许两条${\mathbb Z}_{3}\times {\mathbb Z}_{3}$ Wilson线具有大约一个数量级的分离质量尺度来实现规范参数的统一。这在统一尺度下引入了一个额外的“左-右”扇区。在本文中,由于三个重要的原因,我们修改了我们以前的分析,要求两个威尔逊线的质量尺度是同时的,等于一个“平均统一”的质量$\left<M_{U}\right>$。目前的分析是1)更“自然”比以前的计算,这是唯一有效的在一个非常特定的区域的卡-丘模空间,2)理论是概念上更简单,因为左-右部门已被删除,3)在目前的分析缺乏规范统一是由于阈值效应-特别是重弦阈值,我们计算统计详细。在我们以前的工作中,该理论是重整化群从$\left<M_{U}\right>$发展到电弱尺度-受到,顺序地,辐射$B-L$和电弱对称性破缺的要求,目前的实验下界的$B-L$矢量玻色子和s粒子的质量,以及最轻的中性希格斯质量的$\sim$ 125 GeV。满足所有这些约束的软超对称破缺质量子空间被提出并被证明是实质性的。

英文摘要:

In previous work, we presented a statistical scan over the soft supersymmetry breaking parameters of the minimal SUSY $B-L$ model. For specificity of calculation, unification of the gauge parameters was enforced by allowing the two ${\mathbb Z}_{3}\times {\mathbb Z}_{3}$ Wilson lines to have mass scales separated by approximately an order of magnitude. This introduced an additional "left-right" sector below the unification scale. In this paper, for three important reasons, we modify our previous analysis by demanding that the mass scales of the two Wilson lines be simultaneous and equal to an "average unification" mass $\left<M_{U}\right>$. The present analysis is 1) more "natural" than the previous calculations, which were only valid in a very specific region of the Calabi-Yau moduli space, 2) the theory is conceptually simpler in that the left-right sector has been removed and 3) in the present analysis the lack of gauge unification is due to threshold effects--particularly heavy string thresholds, which we calculate statistically in detail. As in our previous work, the theory is renormalization group evolved from $\left<M_{U}\right>$ to the electroweak scale--being subjected, sequentially, to the requirement of radiative $B-L$ and electroweak symmetry breaking, the present experimental lower bounds on the $B-L$ vector boson and sparticle masses, as well as the lightest neutral Higgs mass of $\sim$125 GeV. The subspace of soft supersymmetry breaking masses that satisfies all such constraints is presented and shown to be substantial.

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