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arXiv 0904.1849hep-phhep-th
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无基本标量的标准模型和高能洛伦兹破坏

Standard Model Without Elementary Scalars And High Energy Lorentz Violation

Damiano Anselmi

摘要:

如果洛伦兹对称性在高能量下被破坏,通常不可重正化的相互作用可以通过加权功率计数变得可重正化。最近,一个CPT不变的,洛伦兹破坏的标准模型的扩展,包含两个标量2费米子相互作用(可以解释中微子质量)和四个费米子相互作用(可以解释质子衰变)的建议。在本文中,我们考虑一个变种的这个模型,得到抑制基本标量场,并认为它可以重现已知的低能物理。在Nambu-Jona-Lasinio精神下,我们用大N_c展开证明了动力学对称破缺的发生。有效势有一个洛仑兹不变的最小值,洛仑兹破坏不会影响到低能量。该机制产生了费米子质量、规范玻色子质量和标量束缚态,它们与复合希格斯玻色子玻色子等同。我们的方法是不困扰的模糊性的方法的基础上不可重正化顶点。低能有效作用量是唯一确定的,并预测了标准模型参数之间的关系。

英文摘要:

If Lorentz symmetry is violated at high energies, interactions that are usually non-renormalizable can become renormalizable by weighted power counting. Recently, a CPT invariant, Lorentz violating extension of the Standard Model containing two scalar-two fermion interactions (which can explain neutrino masses) and four fermion interactions (which can explain proton decay) was proposed. In this paper we consider a variant of this model, obtained suppressing the elementary scalar fields, and argue that it can reproduce the known low energy physics. In the Nambu--Jona-Lasinio spirit, we show, using a large N_c expansion, that a dynamical symmetry breaking takes place. The effective potential has a Lorentz invariant minimum and the Lorentz violation does not reverberate down to low energies. The mechanism generates fermion masses, gauge-boson masses and scalar bound states, to be identified with composite Higgs bosons. Our approach is not plagued by the ambiguities of approaches based on non-renormalizable vertices. The low-energy effective action is uniquely determined and predicts relations among parameters of the Standard Model.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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