论文标题

迈向动力学混合和门户问题的紫外线模型II:在$ su(n)$ group中探索统一

Towards a UV-Model of Kinetic Mixing and Portal Matter II: Exploring Unification in an $SU(N)$ Group

论文作者

Rizzo, Thomas G.

论文摘要

如果暗物质(DM)通过$ u(1)_d $动力学混合(km)在低能的情况下与标准模型(SM)相互作用,则不仅需要门户物质(PM)颗粒的存在,这些粒子(PM)粒子既有深色和SM量子数字,而且还需要一个可能完成的UV完成。在较早的工作中,按照自下而上的方法,我们试图构建这些SM和黑暗部门相互作用的更统一的框架。 In this paper we will instead begin to explore, from the top-down, the possibility of the unification of these forces via the decomposition of a GUT-like group, $G\to G_{SM}\times G_{Dark}$, where $U(1)_D$ is now a low energy diagonal subgroup of $G_{Dark}$ and where the familiar $G_{SM}=SU(5)$ will play the role传统$ su(3)_C \ times su(2)_l \ times u(1)_y $ sm量规组的代理。特别是,对于本研究,将假定$ g = su(n)$,$ n = 6-10 $。尽管不是我们的主要目标,但也将研究在同一一般框架内统一三个世代结构的模型。发现这些可能性受到我们选择的模型构建要求集的高度限制,当它们同时使用以获得成功的模型框架时,它们可能太强大了。

If dark matter (DM) interacts with the Standard Model (SM) via the $U(1)_D$ kinetic mixing (KM) portal at low energies, it necessitates not only the existence of portal matter (PM) particles which carry both dark and SM quantum numbers, but also a possible UV completion into which this $U(1)_D$ and the SM are both embedded. In earlier work, following a bottom-up approach, we attempted to construct a more unified framework of these SM and dark sector interactions. In this paper we will instead begin to explore, from the top-down, the possibility of the unification of these forces via the decomposition of a GUT-like group, $G\to G_{SM}\times G_{Dark}$, where $U(1)_D$ is now a low energy diagonal subgroup of $G_{Dark}$ and where the familiar $G_{SM}=SU(5)$ will play the role of a proxy for the conventional $SU(3)_c\times SU(2)_L\times U(1)_Y$ SM gauge group. In particular, for this study it will be assumed that $G=SU(N)$ with $N=6-10$. Although not our main goal, models that also unify the three SM generational structure within this same general framework will also be examined. The possibilities are found to be quite highly constrained by our chosen set of model building requirements which are likely too strong when they are employed simultaneously to obtain a successful model framework.

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