粒子物理标准模型的规范等级问题

THE HIERARCHY PROBLEM OF THE STANDARD MODEL OF PARTICLE PHYSICS

粒子物理标准模型虽然取得了巨大成功,但是模型本身还存在规范等级问题。本文从教学的角度上分析了规范等级问题的意义。标准模型中光子、电子以及其他费米子和规范玻色子质量辐射修正因为有对称性保护而没有二次发散,而希格斯粒子的辐射修正却存在明显的截断能标的二次依赖关系,同时也会依赖与非标准模型的重粒子。本文还挑选了大学物理中精细调节的例子来说明此问题,说明解决希格斯粒子的规范等级问题也是构建新物理模型的重要动机之一。

Though the standard model of particle physics has achieved great successes, it suffers hierarchy problem. This paper gives a pedagogical introduction to the hierarchy problem. The quadratic divergence of the radiative corrections to photon, electron and other fermions, gauge bosons are absent under the protection of symmetry. However, the explicit quadratic divergence exists in the radiative correction of Higgs boson mass, and the correction also depends on the heavy particles beyond the standard model. The new physics beyond standard model are well motivated by solving the hierarchy problem.