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arXiv 0912.5463hep-ph
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希格斯暴胀和自然性

Higgs Inflation and Naturalness

Rose N. Lerner, John McDonald

摘要:

基于与引力非最小耦合的标量场的暴胀已经被提出作为统一暴胀与弱尺度物理学的一种方式,暴胀子被识别为希格斯玻色子或其他弱尺度标量粒子。这些模型需要一个大的非最小耦合xi ~ 10^{4}才能与观测到的密度扰动相一致。然而,有人认为这种模型是不自然的,因为在约旦框架中通过引力子交换计算希格斯-希格斯散射的明显故障。在这里,我们认为,希格斯暴胀模型实际上是自然的,并不意味着新的物理,由于强耦合效应或幺正性击穿,而只是一个失败的微扰理论在约旦框架作为一种计算方法。这可以通过注意到模型在爱因斯坦框架中分析时是完全一致的来理解,并且根据非线性场重新定义的等价定理,两个框架中的散射率是相等的。

英文摘要:

Inflation based on scalar fields which are non-minimally coupled to gravity has been proposed as a way to unify inflation with weak-scale physics, with the inflaton being identified with the Higgs boson or other weak-scale scalar article. These models require a large non-minimal coupling xi ~ 10^{4} to have agreement with the observed density perturbations. However, it has been suggested that such models are unnatural, due to an apparent breakdown of the calculation of Higgs-Higgs scattering via graviton exchange in the Jordan frame. Here we argue that Higgs inflation models are in fact natural and that the breakdown does not imply new physics due to strong-coupling effects or unitarity breakdown, but simply a failure of perturbation theory in the Jordan frame as a calculational method. This can be understood by noting that the model is completely consistent when analysed in the Einstein frame and that scattering rates in the two frames are equal by the Equivalence Theorem for non-linear field redefinitions.

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