arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1102.5244hep-ph
收藏

F-理论大统一理论中的统一、KK-阈值和顶部Yukawa耦合

Unification, KK-thresholds and the top Yukawa coupling in F-theory GUTs

G. K. Leontaris, N. D. Tracas, G. Tsamis

摘要:

在一类F理论SU(5)大统一理论中,低能手征质谱是由嵌入在例外E_8群中的U(1)对称性组织的等级结构的一阶费米子质量织构得到的。在这些理论中,手征场驻留在物质“曲线”上,树级质量是从粒子在三重交点处的重叠波函数的积分中计算出来的。这种计算需要知道波函数的精确形式。在这项工作中,我们提出了一种方法来获得一个可靠的估计,确定汤川耦合的强度的各种数量。我们使用以前的KK阈值效应的分析,以确定(比率)的理论,这是参与规范化的波函数的重质量标度。我们认为这些模型的手征光谱的类似效果,并讨论可能出现的物质含量的限制。在这种方法中,我们发现,汤川耦合可以确定唯一的U(1)的电荷的状态在'交叉'和扭转,这是一个拓扑不变量。我们将结果应用于一个可行的SU(5)模型,该模型具有满足我们分析所施加的所有约束的最小谱。我们用重整化群分析估算了顶、底质量,发现它们与实验值符合得很好。

英文摘要:

In a class of F-theory SU(5) GUTs the low energy chiral mass spectrum is obtained from rank one fermion mass textures with a hierarchical structure organised by U(1) symmetries embedded in the exceptional E_8 group. In these theories chiral fields reside on matter `curves' and the tree level masses are computed from integrals of overlapping wavefuctions of the particles at the triple intersection points. This calculation requires knowledge of the exact form of the wavefuctions. In this work we propose a way to obtain a reliable estimate of the various quantities which determine the strength of the Yukawa couplings. We use previous analysis of KK threshold effects to determine the (ratios of) heavy mass scales of the theory which are involved in the normalization of the wave functions. We consider similar effects from the chiral spectrum of these models and discuss possible constraints on the emerging matter content. In this approach, we find that the Yukawa couplings can be determined solely from the U(1) charges of the states in the `intersection' and the torsion which is a topological invariant quantity. We apply the results to a viable SU(5) model with minimal spectrum which satisfies all the constraints imposed by our analysis. We use renormalization group analysis to estimate the top and bottom masses and find that they are in agreement with the experimental values.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑