论文标题

最小的$ su(5)$型号

Towards a minimal $SU(5)$ model

论文作者

Doršner, Ilja

论文摘要

我简要概述了新颖的$ su(5)$统一模型建议的最突出的功能。该模型的粒子内容包括$ 5_H $,$ 24_H $,$ 35_H $,$ {\ OVERLINE {5} _F} _i $,$ {10_f} _i $,$ 15_f $,$ \ edimelline {15}标量,费米斯或量规玻色子,而$ i = 1,2,3 $。该模型采用了洛伦兹组允许的所有可能的交互项,$ su(5)$仪表对称性和上述粒子含量,以通过三种不同的机制生成标准模型费米子质量。它还将中微子质量产生机理与实验观察到的质量夸克和带电的瘦素之间的质量差异联系起来。该模型的最小结构需要$ 24_H $和$ 5_H $,不仅要打破$ su(5)$(5)$(3)\ times su(2)\ times \ times u(1)$ $ gauge组,而且要完成一个附加的任务。该模型还预测中微子是严格的主要田地,一个中微子纯粹是无质量的粒子,中微子质量是正常的排序。在$ p \rightarrowπ^0 e^+$ lifetime限制上的实验结合,结合对量规介导的质子衰减的模型的预测,意味着如果这些多重质量是质量分类,则有四个新的标量乘积在$ 120 $ \ $ 120 $ \,tev质量尺度上。如果这些多重组不是质量退化,则引用的极限将用于所有实际目的,适用于其质量的几何平均值。所讨论的标量转换为$(1,3,0)$,$(8,1,0)$,$(\ overline {3},3},3,-2/3)$和$(\ overline {6},2,1/6)$在标准模型组$ su(3)\ su(3)\ times su(2)\ times su(2)\ times times time time time time times u(times times time times u(1)$(1)$(1)$ counts coupl couls coupl couls coupl coul cou cout coupts coupl cou coupl coupl coupl。

I briefly outline the most prominent features of a novel $SU(5)$ unification model proposal. The particle content of the model comprises $5_H$, $24_H$, $35_H$, ${\overline{5}_F}_i$, ${10_F}_i$, $15_F$, $\overline{15}_F$, and $24_V$, where subscripts $H$, $F$, and $V$ denote whether a given representation contains scalars, fermions, or gauge bosons, respectively, while $i=1,2,3$. The model employs all possible interaction terms, as allowed by the Lorentz group, the $SU(5)$ gauge symmetry, and the aforementioned particle content, to generate the Standard Model fermion masses through three different mechanisms. It also connects the neutrino mass generation mechanism to the experimentally observed mass disparity between the down-type quarks and charged leptons. The minimal structure of the model requires $24_H$ and $5_H$ not only to break $SU(5)$ and $SU(3) \times SU(2) \times U(1)$ gauge groups, respectively, but to accomplish one additional task each. The model furthermore predicts that neutrinos are strictly Majorana fields, that one neutrino is purely a massless particle, and that neutrino masses are of normal ordering. The experimental bound on the $p \rightarrow π^0 e^+$ lifetime limit, in conjunction with the prediction of the model for the gauge mediated proton decays, implies that there are four new scalar multiplets at or below a $120$\,TeV mass scale if these multiplets are mass degenerate. If these multiplets are not mass degenerate, the quoted limit then applies, for all practical purposes, to the geometric mean of their masses. The scalars in question transform as $(1,3,0)$, $(8,1,0)$, $(\overline{3},3,-2/3)$, and $(\overline{6},2,1/6)$ under the Standard Model gauge group $SU(3) \times SU(2) \times U(1)$ with calculable couplings to the Standard Model fields.

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