We extend the nonsupersymmetric SO(10) grand unification theories by adding a horizontal symmetry, which connects the three generations of fermions. Without committing to any specific symmetry group, we investigate the 1-loop renormalization group evolutions of the gauge couplings with one and two intermediate breaking scales. We find that depending on the SO(10) breaking chains, gauge coupling unification is compatible with only a handful of choices of representations of the Higgs bosons under the horizontal symmetry.
Supersymmetry, local horizontal unification, and a solution to the flavor puzzle
具有局域水平对称性的超对称规范模型会产生由超对称破缺D项引起的大的变味中性流效应。我们展示了U（1）规范对称性的存在如何解决这个问题。然后我们构造了一个以SU（2）_H × U（1）_H为局域水平对称的现实规范模型，并提出U（1）_H因子可以等同于弦紧化引起的反常U（1）。这个模型解释了夸克质量和混合角之间的层次结构，自然地容纳太阳和大气中微子数据，并同时提供了一个解决超对称味问题。如果在当前一轮实验中没有观察到稀有衰变μ--> e γ，则可以排除该模型。
In this letter we show a kind of \mt gauge symmetry can be unified into a simple group with the standard model gauge symmetry in the context of coset space unification. We also discuss some implication from one of this kind of unification.
We propose a new model of 5D $SU(3)\otimes U(1)_X$ gauge-Higgs unification with a successful electroweak symmetry breaking and a realistic Higgs boson mass. In our model, the representations of the fermions are very simple, the ${\bf 3}, \overline{\bf 3}$ and $\bf \overline{15}$ representations of $SU(3)$ gauge group. Employing the anti-periodic boundary conditions for $\bf \overline{15}$ reduces massless exotic fermions and simplifies the brane localized mass terms. We calculate the 1-loop Higgs potential in detail and find that a realistic electroweak symmetry breaking and the observed Higgs…
Planck-Scale Unification and Dynamical Symmetry Breaking
我们探讨的可能性统一的规范耦合普朗克尺度附近的扩展人工色模型。我们观察到，由于存在无质量的中性戈德斯通玻色子（轴子）和轻荷的伪戈德斯通玻色子，G X SU（3）_c X SU（2）_L X U（1）_Y形式的模型不能实现;因此，在普朗克尺度附近的已知力的统一不能实现。下一个最简单的可能性，G × SU（4）_{PS} × SU（2）_L × U（1）_{ T_{3R} }，不能导致Pati-Salam和普朗克尺度附近的弱规范群的统一。然而，超弦理论提供了普朗克尺度下耦合之间的关系，而不需要一个潜在的大统一规范群，这使得SU（4）$_{PS}$和SU（2）$_L$耦合统一。
Neutrino-induced Electroweak Symmetry Breaking in Supersymmetric SO(10) Unification
在两种超对称SO（10）情形下，考虑中微子物理效应，即观测到的大世代混合效应和微小质量尺度效应，研究了辐射电弱对称性破缺、第三代Yukawa耦合的统一以及变味稀有衰变.第一种情况是最小的，包括右手中微子在中间尺度与第三代汤川耦合的统一。另一种情况是，大气中微子的大量混合起源于带电轻子扇区。在SO（10）激发的超弱破缺参数边界条件下，讨论了典型的低能粒子谱，确定了满足辐射电弱对称性破缺条件和超粒子实验质量边界的参数空间.特别地，对底夸克质量和b \to s γ分支比的预言进行了全面的分析。在这两种情况下，新类型的辐射电弱对称性破缺实现的中微子耦合的影响。Yukawa统一与底夸克质量和味违反稀有过程的实验约束相容，得到了分级超粒子质量谱。
In this work we demonstrate how Scotogenic model can arise naturally from an $SU(7)$ grand unified theory. Our model also includes a low scale Pati-Salam $SU(4)_c\times SU(2)_L\times U(1)_R$ symmetry which unifies quarks and leptons. $\mathbb{Z}_2$ symmetry needed for the realization of Scotogenic scenario is a residual symmetry and not $ad$ $hoc$. A short fermion masses and dark matter analysis is included.
We study quark and lepton masses and mixings in a double covering of modular $A_4$ flavor symmetry in which we search for common solution of a single modulus $τ$, applying chi-square numerical analysis under the as minimum framework as possible. We have found the common region of $τ$ within $5σ$ interval that is narrow in case of normal hierarchy, but not found in case of inverted hierarchy.
The largest global symmetry that can be made local in the Standard Model + 3$ν_R$ while being compatible with Pati-Salam unification is $SU(3)_H\times U(1)_{B-L}$. The gauge bosons of this theory would induce flavour effects involving both quarks and leptons, and are a potential candidate to explain the recent reports of lepton universality violation in rare B meson decays. In this letter we characterise this type of models and show how they can accommodate the data and naturally be within reach of direct searches.
We study gauge symmetry breaking patterns of the five-dimensional $SU(5)$ grand gauge-Higgs unification compactified on an orbifold $S^1/{\mathbb Z}_2$ with the Hosotani mechanism in the framework of the diagonal embedding method. We find matter contents that lead to the $SU(3)\times SU(2)\times U(1)$ gauge symmetry on the global minimum of the effective potential and also present examples of matter content for which each regular subgroup of $SU(5)$ is realized as vacuum configuration. The finite temperature phase transitions for the models with the gauge symmetry of the standard model at zero…
We examine the possibility of observing the Kaluza-Klein gluons in gauge-Higgs unification models at the LHC with the energy sqrt{s}=14 TeV. We consider a benchmark model with the gauge symmetry SU(3)_C x SU(3)_W in five-dimensional space-time, where SU(3)_C is the gauge symmetry of the strong interaction and SU(3)_W is that for the electroweak interaction and a Higgs doublet field. It is natural in general to introduce SU(3)_C gauge symmetry in five-dimensional space-time as well as SU(3)_W gauge symmetry in gauge-Higgs unification models. Since the fifth dimension is compactified to S1/Z2 or…
