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arXiv 1002.2730hep-ph
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评希格斯暴胀与自然性

Comment on Higgs Inflation and Naturalness

C. P. Burgess, Hyun Min Lee, Michael Trott

摘要:

我们反驳了最近的说法(arXiv:0912.5463),即在希格斯暴胀模型中,爱因斯坦框架散射在截止能量λ ~ Mp/xi以上是幺正的。我们明确地表明如何出现在爱因斯坦和约旦框架的理论的幺正性问题。在协变规范中,它们产生于非最小希格斯自耦合,由于目标空间不是平坦的,因此不能通过场重定义来消除。在幺正规范中,只有一个标量可以被重新定义以获得正则动力学项,幺正性问题通过非最小希格斯-规范耦合产生。

英文摘要:

We rebut the recent claim (arXiv:0912.5463) that Einstein-frame scattering in the Higgs inflation model is unitary above the cut-off energy Lambda ~ Mp/xi. We show explicitly how unitarity problems arise in both the Einstein and Jordan frames of the theory. In a covariant gauge they arise from non-minimal Higgs self-couplings, which cannot be removed by field redefinitions because the target space is not flat. In unitary gauge, where there is only a single scalar which can be redefined to achieve canonical kinetic terms, the unitarity problems arise through non-minimal Higgs-gauge couplings.

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