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arXiv 1009.2276hep-phastro-ph.COgr-qchep-th
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电弱理论中的超引力Higgs暴胀和位移对称性

Supergravity Higgs Inflation and Shift Symmetry in Electroweak Theory

Ido Ben-Dayan, Martin B. Einhorn

摘要:

我们提出了一个超引力框架中的暴胀模型,在爱因斯坦框架中,下一个最小超对称标准模型(NMSSM)的希格斯场起着暴胀子的作用。以前的尝试,假设非最小耦合重力失败,由于超光速不稳定的单线场在膨胀。一个正则Kähler势与\textit{minimal coupling}重力可以解决快子不稳定性,但运行到$η$ -问题。我们建议一个模型,这是免费的$η$ -问题,由于一个额外的耦合在凯勒潜力,这是允许的标准模型规范组。这就在势中引入了方向,我们称之为K平坦。对于(N)MSSM中新耦合的某个值,凯勒势是特殊的,因为它可以与希格斯二重态的某种移位对称性相关联,这是早期模型中单线态移位对称性的推广。我们发现K-平坦方向具有$H_u^0=-H_d^{0*}.$,这种位移对称性被来自超势场和规范场的相互作用打破。这个方向未能在MSSM中产生成功的通货膨胀,但在NMSSM中产生了一个可行的模型。该模型特别关注NMSSM的Peccei-Quinn(PQ)极限。在这个极限下,这个模型不仅可以通过宇宙微波背景观测来证实,也可以通过轴子搜索来排除。

英文摘要:

We present a model of inflation in a supergravity framework in the Einstein frame where the Higgs field of the next to minimal supersymmetric standard model (NMSSM) plays the role of the inflaton. Previous attempts which assumed non-minimal coupling to gravity failed due to a tachyonic instability of the singlet field during inflation. A canonical Kähler potential with \textit{minimal coupling} to gravity can resolve the tachyonic instability but runs into the $η$-problem. We suggest a model which is free of the $η$-problem due to an additional coupling in the Kähler potential which is allowed by the Standard Model gauge group. This induces directions in the potential which we call K-flat. For a certain value of the new coupling in the (N)MSSM, the Kähler potential is special, because it can be associated with a certain shift symmetry for the Higgs doublets, a generalization of the shift symmetry for singlets in earlier models. We find that K-flat direction has $H_u^0=-H_d^{0*}.$ This shift symmetry is broken by interactions coming from the superpotential and gauge fields. This direction fails to produce successful inflation in the MSSM but produces a viable model in the NMSSM. The model is specifically interesting in the Peccei-Quinn (PQ) limit of the NMSSM. In this limit the model can be confirmed or ruled-out not just by cosmic microwave background observations but also by axion searches.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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