论文标题
具有仪表和Yukawa耦合统一的非苏匹马对称SO（10）模型
Non-supersymmetric SO(10) models with Gauge and Yukawa coupling unification
论文作者
论文摘要
我们研究了具有非常高的能量中间对称性量表的非统一统一理论（10）大统一理论，其中不仅仪表和Yukawa耦合统一都可以通过适当的阈值校正和匹配条件来执行。对于量规统一，我们专注于几个对称性破坏模式，与中等规格组$ {\ rm su（4）_c \ times su（2）_l \ times su（2）_r} $（pati-salam）（pati-salam）和$ {\ rm su（3）_c \ rm su（3）_c \ rm su（3） u（1）_ {b-l}} $（最小左右对称性）假设一个额外的全局u（1）peccei-quinn对称性，并且在电动台上以第二个希格斯双重doublet场补充的标准模型。我们得出条件以及近似分析解决方案，以统一量规耦合常数在两环水平上，并在产生的高尺度上讨论质子衰变的约束。专门针对Pati-Salam中间断裂模式，我们还将第三代费米斯的Yukawa耦合统一在高尺度上，再次在两环级别上。在考虑的上下文中，Yukawa统一意味着Fermion耦合与SO（10）组的10和126维标量表示之间的关系。我们认为可以在$ {\ rm e_6} $模型中获得的一种可能的关系，其中前两个标量字段是单个多重组的一部分。考虑到某些现象学特征，例如在树级时没有风味变化的中性电流，我们对低能模型的参数产生了限制，尤其是在两个Higgs Doublets真空预期值$ \TANβ$的比率上。
We study a non-supersymmetric SO(10) Grand Unification Theory with a very high energy intermediate symmetry breaking scale in which not only gauge but also Yukawa coupling unification are enforced via suitable threshold corrections and matching conditions. For gauge unification, we focus on a few symmetry breaking patterns with the intermediate gauge groups ${\rm SU(4)_C \times SU(2)_L \times SU(2)_R}$ (Pati-Salam) and ${\rm SU(3)_C \times SU(2)_L \times SU(2)_R\times U(1)_{B-L}}$ (minimal left-right symmetry) assuming an additional global U(1) Peccei--Quinn symmetry, and having the Standard Model supplemented by a second Higgs doublet field at the electroweak scale. We derive the conditions as well as the approximate analytical solutions for the unification of the gauge coupling constants at the two-loop level and discuss the constraints from proton decay on the resulting high scale. Specializing to the case of the Pati-Salam intermediate breaking pattern, we then impose also the unification of the Yukawa couplings of third generation fermions at the high scale, again at the two-loop level. In the considered context, Yukawa unification implies a relation between the fermion couplings to the 10- and 126-dimensional scalar representations of the SO(10) group. We consider one such possible relation which is obtainable in an ${\rm E_6}$ model where the previous two scalar fields are part of a single multiplet. Taking into account some phenomenological features such as the absence of flavor changing neutral currents at tree-level, we derive constraints on the parameters of the low energy model, in particular on the ratio of the two Higgs doublets vacuum expectation values $\tanβ$.
