Abstract

The spectrum of spinless modes in a model with the \(SU{{(2)}_{L}} \times U{{(1)}_{R}}\) symmetrical four-quark-interaction proposed by Miransky, Tanabashi, and Yamawaki is studied. For the sake of simplicity, only four-fermion interactions of top and bottom quarks are considered. The spinless modes result from spontaneous electroweak interaction symmetry breaking and are coupled quark–antiquark states associated with two \(SU\left( 2 \right)\) Higgs doublets. Their dynamics is described by the effective Lagrangian obtained by the Schwinger–DeWitt method. The spectrum is represented by excitations of five types, the mass of each being expressed by the parameters of the model. It is shown that the model yields phenomenologically acceptable values of both the mass of quarks \({{m}_{t}} = 173\,\,{\text{GeV}}\) and \({{m}_{b}} = 4.18\,\,{\text{GeV}}\) and the mass of the standard Higgs state \({{m}_{{{{\chi }_{1}}}}} = 125\,\,{\text{GeV}}\). The masses of the particles that comprise the second Higgs doublet, \({{m}_{{{{h}^{ \pm }}}}} = 275\,\,{\text{GeV}}\), \({{m}_{{{{\chi }_{2}}}}} = 346\,\,{\text{GeV}}\), and \({{m}_{{{{\phi }_{0}}}}} = 125\,\,{\text{GeV}}\), have been calculated. The Nambu sum rule and the conditions for satisfying it in the theories with the broken \(~U{{(1)}_{A}}\) symmetry are discussed

中文翻译：

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复合两个希格斯二重态模型中的Nambu Sum规则

抽象

的非旋转方式与所述模型中的光谱\（SU {{（2）} _ {L}} \倍∪{{（1）} _ {R}} \）提出了通过Miransky对称四夸克相互作用，研究了田桥和山胁。为了简单起见，仅考虑顶部夸克和底部夸克的四费米相互作用。自旋电弱相互作用对称性破坏导致无旋模，并与两个\（SU \ left（2 \ right）\）希格斯对偶相关联的夸克-反夸克状态。用Schwinger-DeWitt方法获得的有效拉格朗日描述了它们的动力学。光谱由五种类型的激励表示，每种质量由模型的参数表示。结果表明，该模型产生了夸克质量的现象学上可接受的值\（{{m} _ {t}} = 173 \，\，{\ text {GeV}} \）和\（{{m} _ {b}} = 4.18 \，\，{\ text {GeV} } \）和标准希格斯状态的质量\（{{m} _ {{{\\} _ {1}}}}} = 125 \，\，{\ text {GeV}} \\）。组成第二个希格斯双峰的粒子的质量\（{{m} _ {{{{h} ^ {\ pm}}}}} = 275 \，\，{\ text {GeV}} \\），\（{{m} _ {{{\ chi} _ {2}}}}} = 346 \，\，{\ text {GeV}} \）和\（{{m} _ {{{{ \ phi} _ {0}}}} = 125 \，\，{\ text {GeV}} \），已经计算出来。讨论了对称的（[〜U {{（1）} _ {A}} \）对称性下的Nambu和规则以及满足该条件的条件