论文标题

来自乘法拉格朗日的Higgs领域的天然TEV截止

The Natural TeV Cutoff of the Higgs Field from the Multiplicative Lagrangian

论文作者

Supanyo, Suppanat, Tanasittikosol, Monsit, Yoo-Kong, Sikarin

论文摘要

可以将各种类型的非标准拉格朗日添加到标准拉格朗日,而在低能限制中运动方程式不变。在本文中,我们构建了复杂标量场的乘法拉格朗日,从变化的计算的反问题中给出了近似的klein-gordon方程。然后,将这种具有任意高临界值的乘法拉格朗日应用于u(1) - 高轨对称性中的希格斯机理的玩具模型,以研究希格斯物理学中的简单效果。我们表明,在自发对称性破坏发生后,希格斯VEV不受费米耦合常数的释放,而希格斯磁场则以TEV量表的形式获得了自然截止。还讨论了其他相关的耦合常数,由于循环校正引起的希格斯质量的紫外线敏感性,在强CP问题上的某些应用以及异常的小费用质量以及宇宙学常数问题。

The various types of the non-standard Lagrangian can be added to the standard Lagrangian with the invariant of the equation of motion in the low energy limit. In this paper, we construct the multiplicative Lagrangian of a complex scalar field giving the approximated Klein-Gordon equation from the inverse problem of the calculus of variation. Then, this multiplicative Lagrangian with arbitrary high cutoff is applied to the toy model of the Higgs mechanism in U(1)-gauge symmetry in order to study the simple effects in the Higgs physics. We show that, after spontaneous symmetry breaking happens, the Higgs vev is free from the Fermi-coupling constant and the Higgs field gets the natural cutoff in TeV scale. The other relevant coupling constants, the UV-sensitivity of Higgs mass due to the loop correction, some applications on the strong CP problem as well as anomalous small fermion mass, and the cosmological constant problem are also discussed.

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