Natural TeV cutoff of the Higgs field from a multiplicative Lagrangian

被引:5
作者
Supanyo, Suppanat [1 ,2 ]
Tanasittikosol, Monsit [1 ,2 ]
Yoo-Kong, Sikarin [3 ]
机构
[1] King Mongkuts Univ Technol Thonburi, Fac Sci, Dept Phys, Theoret & Computat Phys TCP Grp, Bangkok 10140, Thailand
[2] King Mongkuts Univ Technol Thonburi, Fac Sci, Theoret & Computat Sci Ctr TaCS, Bangkok 10140, Thailand
[3] Naresuan Univ, Inst Fundamental Study IF, Phitsanulok 65000, Thailand
关键词
INVERSE PROBLEM; COSMOLOGICAL CONSTANT; SYMMETRY-BREAKING; CONSERVATION; CALCULUS; MODEL; MASS;
D O I
10.1103/PhysRevD.106.035020
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The various types of the nonstandard 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 vacuum expectation value 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.
引用
收藏
页数:11
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