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arXiv 1609.05922hep-ph
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在NNLL上的RG改进的Twin Higgs有效势

The RG-improved Twin Higgs effective potential at NNLL

Davide Greco, Kin Mimouni

摘要:

本文在对数精度下给出了三阶Twin Higgs有效势的重整化群改进。我们首先介绍一个独立的模型的低能量有效的拉格朗日,捕获的伪Nambu-Goldstone玻色子性质的希格斯场和双光自由度下收取的副本的标准模型。然后,我们应用背景场方法,系统地恢复所有的一个回路图有助于潜在的。我们展示了这种技术是如何有效地隐式重正化的高维运营商在孪生部门,而不对他们进行分类。在Twin Higgs模型中,对Higgs质量的预言是$M_H \sim 120 ~\text{GeV}$量级的,并且有一个紫外截止点$m_*\sim 10-20 ~\text{TeV}$ .因此,不管低能拉格朗日量是否有任何可能的紫外线完成,仅红外自由度就足以通过运行效应解释希格斯质量的观测值。

英文摘要:

We present the Renormalization Group improvement of the Twin Higgs effective potential at cubic order in logarithmic accuracy. We first introduce a model-independent low-energy effective Lagrangian that captures both the pseudo-Nambu-Goldstone boson nature of the Higgs field and the twin light degrees of freedom charged under a copy of the Standard Model. We then apply the background field method to systematically re-sum all the one loop diagrams contributing to the potential. We show how this technique can be efficient to implicitly renormalize the higher-dimensional operators in the twin sector without classifying all of them. A prediction for the Higgs mass in the Twin Higgs model is derived and found to be of the order of $M_H \sim 120 ~\text{GeV}$ with an ultraviolet cut-off $m_*\sim 10-20 ~\text{TeV}$. Irrespective of any possible ultraviolet completion of the low-energy Lagrangian, the infrared degrees of freedom alone are therefore enough to account for the observed value of the Higgs mass through running effects.

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