论文标题
具有扩展希格斯扇区的经典规模不变模型的两循环分析
Two-loop analysis of classically scale-invariant models with extended Higgs sectors
论文作者
论文摘要
我们使用有效的电位近似值，在具有经典比例不变性（CSI）的模型中，对HIGGS三联耦合进行了第一个明确计算$λ_{HHH} $。此外，由于需要正确重现125-GEV Higgs-Boson质量，我们还首次研究了CSI理论中所有状态的质量之间出现的关系。除了获得一般CSI模型的分析结果外，我们还考虑了具有扩展希格斯扇区的超出标准模型理论的两个特殊示例，即$ n $ scalar模型（具有全球$ O（N）$对称性）和CSI版本的CSI版本和两-higgs doublet模型的CSI版本，我们对这些详细的研究进行了这些详细的研究。虽然在一个循环中，在所有CSI模型中，希格斯三联耦合的值都是相同的，并且与（一环）SM预测相比，偏离约$ 82 \％$，我们发现包含两循环校正可以提高这种普遍性，并允许与CSI区分不同的BSM场景。考虑到扰动单位性和群众之间关系的约束，我们发现两种类型的方案我们认为，在两个循环中，$λ_{hhh} $偏离其SM预测$ 100 \ pm10 \％$ $ - 即，对单循环的进一步偏差，与$ \ sim 82 $ \ sim 82 $ \％$ \ sim $ \％。
We present the first explicit calculation of leading two-loop corrections to the Higgs trilinear coupling $λ_{hhh}$ in models with classical scale invariance (CSI), using the effective-potential approximation. Furthermore, we also study -- for the first time at two loops -- the relation that appears between the masses of all states in CSI theories, due to the requirement of reproducing correctly the 125-GeV Higgs-boson mass. In addition to obtaining analytic results for general CSI models, we consider two particular examples of Beyond-the-Standard-Model theories with extended Higgs sectors, namely an $N$-scalar model (endowed with a global $O(N)$ symmetry) and a CSI version of the Two-Higgs-Doublet Model, and we perform detailed numerical studies of these scenarios. While at one loop the value of the Higgs trilinear coupling is identical in all CSI models, and deviates by approximately $82\%$ from the (one-loop) SM prediction, we find that the inclusion of two-loop corrections lifts this universality and allows distinguishing different BSM scenarios with CSI. Taking into account constraints from perturbative unitarity and the relation among masses, we find for both types of scenarios we consider that at two loops $λ_{hhh}$ deviates from its SM prediction by $100\pm10\%$ -- i.e. a quite significant further deviation with respect to the one-loop result of $\sim 82\%$.
