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arXiv 1504.00355hep-ph
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无$μ^2$项的电弱对称破缺

Electroweak Symmetry Breaking without the $μ^2$ Term

Florian Goertz

备注：
12 pages, 5 figures; v2: references added, minor clarifications, shortened and corrected appendix, matches version submitted to journal; v3: matches published version
发表信息：
Phys. Rev. D 94, 015013 (2016)
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摘要：

我们表明，从低能量的角度来看，一个可行的打破电弱对称性，在自然界中存在的，可以实现没有（负号）$μ^2$质量项中的希格斯势，从而完全避免了相关运营商的外观，具有正质量尺寸的系数，在理论中。我们表明，这样的设置是自洽的，不排除希格斯物理。特别是，我们指出，这是轻的希格斯玻色子，允许通过运营商的$D\geq 4$，符合功率扩展的电弱对称性被动态打破。除此之外，我们考虑如何这种情况下，甚至可能是首选的现象相比，普通机制的电弱对称性破缺，实现了标准模型，并认为它可以在大型强子对撞机进行充分的测试。在附录中，我们对可能导致这种设置的UV完成进行了分类，同时考虑了动态生成所有尺度的选项。

英文摘要：

We demonstrate that from a low energy perspective a viable breaking of the electroweak symmetry, as present in nature, can be achieved without the (negative sign) $μ^2$ mass term in the Higgs potential, thereby avoiding completely the appearance of relevant operators, featuring coefficients with a positive mass dimension, in the theory. We show that such a setup is self consistent and not ruled out by Higgs physics. In particular, we point out that it is the lightness of the Higgs boson that allows for the electroweak symmetry to be broken dynamically via operators of $D\geq 4$, consistent with the power expansion. Beyond that, we entertain how this scenario might even be preferred phenomenologically compared to the ordinary mechanism of electroweak symmetry breaking, as realized in the Standard Model, and argue that it can be fully tested at the LHC. In an appendix, we classify UV completions that could lead to such a setup, considering also the option of generating all scales dynamically.

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