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arXiv 1101.2014hep-phhep-th
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具有高能洛伦兹破坏的无标度标准模型扩展的低能现象学

Low-energy Phenomenology Of Scalarless Standard-Model Extensions With High-Energy Lorentz Violation

Damiano Anselmi, Emilio Ciuffoli

摘要:

我们考虑可重正化的标准模型扩展,在高能量违反洛伦兹对称性,但保留CPT,不包含基本的标量场。Nambu-Jona-Lasinio机制赋予费米子和规范玻色子质量,并在低能量下产生复合希格斯场。我们研究了大- N_{c}展开式首阶的有效势,证明了存在一个破缺相,并研究了相空间。在一般情况下,最小值可能会打破不变性下的提升,旋转和CPT,但我们给出的证据,存在一个洛伦兹不变的相位。我们研究了复合玻色子的能谱和洛伦兹相的低能理论。我们的方法预测的低能量理论的参数之间的关系。我们发现,这种关系是兼容的实验数据,理论误差。我们还研究了几代之间的混合,CKM矩阵的出现和中微子振荡。

英文摘要:

We consider renormalizable Standard-Model extensions that violate Lorentz symmetry at high energies, but preserve CPT, and do not contain elementary scalar fields. A Nambu--Jona-Lasinio mechanism gives masses to fermions and gauge bosons, and generates composite Higgs fields at low energies. We study the effective potential at the leading order of the large-N_{c} expansion, prove that there exists a broken phase and study the phase space. In general, the minimum may break invariance under boosts, rotations and CPT, but we give evidence that there exists a Lorentz invariant phase. We study the spectrum of composite bosons and the low-energy theory in the Lorentz phase. Our approach predicts relations among the parameters of the low-energy theory. We find that such relations are compatible with the experimental data, within theoretical errors. We also study the mixing among generations, the emergence of the CKM matrix and neutrino oscillations.

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