arXiv 2011.027082020-11-05hep-thmath-phmath.MP

非对易标准模型的推广和弱一阶条件

Extensions of the noncommutative Standard Model and the weak order one condition

Fabien Besnard

备注：: 13 pages

摘要：

在从非对易几何公理推导标准模型的过程中，标量扇区由有限狄拉克算子给出，该算子必须满足所谓的\emph{first-order condition}。然而，这个约束的一般解仍然有非物理项，必须微调为零。此外，一阶条件一般不存在于扩展到规范群大于$U(1)\times SU(2)\times SU(3)$的模型中。在本文中，我们表明，在$U(1)_{\rm B-L}$ -扩展可以实现一个较弱的形式的一阶条件，我们认为是必要的，以使非对易规范理论有意义的，在所有，这个条件减少了微调量的非对角项的汤川质量矩阵的轻子和夸克。我们还表明，这个条件消除了右手中微子的马约拉纳质量项时，它被应用到Pati-Salam模型。

英文摘要：

In the derivation of the Standard Model from the axioms of Noncommutative Geometry, the scalar sector is given by a finite Dirac operator which has to satisfy the so-called \emph{first-order condition}. However, the general solution to this constraint still has unphysical terms which must be fine-tuned to zero. Moreover, the first-order condition generally does not survive in extensions to models with gauge groups larger that $U(1)\times SU(2)\times SU(3)$. In this paper we show that in the $U(1)_{\rm B-L}$-extension one can implement a weaker form of the first-order condition which we argue is necessary in order for Noncommutative Gauge Theory to make sense at all, and that this condition reduce the amount of fine-tuning to the off-diagonal terms in the Yukawa mass matrices for the leptons and quarks. We also show that this condition eliminates the Majorana mass terms for right-handed neutrinos when it is applied to the Pati-Salam model.

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。

摘要：

英文摘要：

相关论文