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arXiv 1504.02299hep-ph
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关于标准模型Higgs扇区的一个定理

A theorem on the Higgs sector of the Standard Model

Marco Frasca

摘要:

给出了标准模型中Higgs扇区的经典理论解,得到了破缺相位的精确格林函数。求解希格斯场的Dyson-Schwinger方程,我们证明了传播子与经典理论的传播子一致,也证实了量子水平上的谱。这样,我们就可以用Källen-Lehman表示证明平凡性。这导致希格斯粒子必须存在更高的激发态,代表它的内部谱。更高的激发态具有指数级较小的振幅,因此,它们的产生率显着降低。

英文摘要:

We provide the solution of the classical theory for the Higgs sector of the Standard Model obtaining the exact Green function for the broken phase. Solving the Dyson-Schwinger equations for the Higgs field we show that the propagator coincides with that of the classical theory confirming the spectrum also at the quantum level. In this way we obtain a proof of triviality using the Källen-Lehman representation. This has as a consequence that higher excited states must exist for the Higgs particle, representing an internal spectrum for it. Higher excited states have exponentially smaller amplitudes and so, their production rates are significantly depressed.

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