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arXiv 1304.0652hep-phnucl-th
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Higgs-Yukawa系统的元激发

Elementary excitations of a Higgs-Yukawa system

E. R. Takano Natti, A. F. R. de Toledo Piza, P. L. Natti, Chi-Yong Lin

摘要:

这项工作研究了所谓的相对论量子标量等离子体系统,也被称为希格斯汤川系统的基本激发的物理。采用Nemes-Piza-Kerman-Lin多体方法,将含时的Hartree-Fock-Bogoliubov运动方程在平衡点附近线性化,得到了该模型的无规相近似(RPA)方程。所得方程有一个封闭的解,并由此研究了激发模的谱。我们表明,RPA振荡模式给出了一个玻色子和两个费米子的理论状态。结果表明,在相图的某些区域存在束缚态。将这些结果应用到最近的LHC观测的希格斯玻色子的质量,我们确定的强度限制的耦合常数g的希格斯汤川模型,在RPA平均场近似下,三个衰变通道的希格斯玻色子。最后,我们验证了在我们的近似下,只有质量大于190 GeV/c^2的希格斯玻色子玻色子才能衰变为顶夸克。

英文摘要:

This work investigates the physics of elementary excitations for the so-called relativistic quantum scalar plasma system, also known as the Higgs-Yukawa system. Following the Nemes-Piza-Kerman-Lin many-body procedure, the Random-Phase Approximation (RPA) equations were obtained for this model by linearizing the Time-Dependent Hartree-Fock-Bogoliubov equations of motion around equilibrium. The resulting equations have a closed solution, from which the spectrum of excitation modes are studied. We show that the RPA oscillatory modes give the one-boson and two-fermion states of the theory. The results indicate the existence of bound states in certain regions in the phase diagram. Applying these results to recent LHC observations concerning the mass of the Higgs boson, we determine limits for the intensity of the coupling constant g of the Higgs-Yukawa model, in the RPA mean-field approximation, for three decay channels of the Higgs boson. Finally, we verify that, within our approximations, only Higgs bosons with masses larger than 190 GeV/c^2 can decay into top quarks.

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