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arXiv 1306.3234hep-phhep-th
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标准模型真空稳定性和Weyl相容性条件

Standard Model Vacuum Stability and Weyl Consistency Conditions

Oleg Antipin, Marc Gillioz, Jens Krog, Esben Mølgaard, Francesco Sannino

摘要:

在高能时,标准模型在经典能级上具有共形对称性。这在量子层面上反映在模型的不同beta函数之间的关系上。这些关系被称为外尔相容性条件。我们证明了在微扰理论中,只要采用合适的耦合常数计数方案,就有可能使它们一阶一阶地满足。作为一个直接的唯象应用,我们研究了高能下标准模型真空的稳定性,并与以前违反Weyl相容性条件的计算进行了比较。

英文摘要:

At high energy the standard model possesses conformal symmetry at the classical level. This is reflected at the quantum level by relations between the different beta functions of the model. These relations are known as the Weyl consistency conditions. We show that it is possible to satisfy them order by order in perturbation theory, provided that a suitable coupling constant counting scheme is used. As a direct phenomenological application, we study the stability of the standard model vacuum at high energies and compare with previous computations violating the Weyl consistency conditions.

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