论文标题
BAU生产$ S_N $ - 破坏标准模型
BAU production in the $S_N$-breaking Standard Model
论文作者
论文摘要
CP违规（CPV）和宇宙的重子不对称（BAU）是物理学中最重要的未解决的两个问题。本文在标准模型（SM）中对CPV问题进行了进一步的研究，其中有十个“自然”参数的32个候选候选人集，这些参数表现出相同的CKM性能。这些参数被认为是“天然”，因为它们仅由SM中唯一的希格斯双脚的Yukawa耦合和真空期望值（VEV）组成。 We then investigate the CPV problem and the BAU problem using the Jarlskog measure of CPV, $Δ_{CP}=J(m^2_t -m^2_c)(m^2_t -m^2_u)(m^2_c -m^2_u)(m^2_b -m^2_s)(m^2_b -m^2_d)(m^2_s -m^2_d)/鉴于$ s_n $ symmetries的故障后，t^{12} $违反了CP对称性。随后，我们在简化的场景中执行数值测试，其中十个参数中有八个是固定的，其余两个参数可以从其$ s_2 $ -symmetric值$ {\ bf（x，〜y）} =（-1，〜1）$变化为所有Thirty-TWO参数集中的当前值。要估计在此类过程中CPV的增强，我们提出了一个比率$r_Δ\equivΔ_{cp} /δ^{（0）} _ {cp} $在运行$δ_{cp} $之间的运行$δ_{cp} $之间的当前价值与其当前价值，以$δ^{（0）} $ 20 $} $} $ {cp} $ nibe。在所有32个情况下，$r_Δ$的三维（3D）图显示了许多区域，这些区域伸出了$r_Δ= 10^{10} $平面，尤其是在非常接近$ {\ bf（x，〜y）} =（ - 1，〜1，〜1）$的区域中。这些结果表明，$ S_N $破坏标准模型已经足以明确违反CP对称性并产生大量的BAU。此外，它可以解决现有问题而不创建新问题。
CP violation (CPV) and the baryon asymmetry of the universe (BAU) are two of the most significant unresolved problems in physics. This article presents further research on the CPV problem in the standard model (SM) with thirty-two candidate sets of the ten "natural" parameters that exhibit the same CKM performance. These parameters are considered "natural" because they consist solely of the Yukawa couplings and the vacuum expectation value (VEV) of the unique Higgs doublet in the SM. We then investigate the CPV problem and the BAU problem using the Jarlskog measure of CPV, $Δ_{CP}=J(m^2_t -m^2_c)(m^2_t -m^2_u)(m^2_c -m^2_u)(m^2_b -m^2_s)(m^2_b -m^2_d)(m^2_s -m^2_d)/ T^{12}$, given that CP symmetry is violated following the breakdowns of $S_N$ symmetries. Subsequently, we perform numerical tests in a simplified scenario where eight of the ten parameters are fixed, and the remaining two parameters are allowed to vary from their $S_2$-symmetric values ${\bf (x,~y)}=(-1,~1)$ to their current values in all thirty-two parameter sets. To estimate the enhancement of CPV in such processes, we propose a ratio $R_Δ \equiv Δ_{CP} / Δ^{(0)}_{CP}$ between the running $Δ_{CP}$ and its current value, denoted by $Δ^{(0)}_{CP}$, which is approximately $10^{-20}$. In all thirty-two cases, the three-dimensional (3D) plots of $R_Δ$ exhibit many regions that stick out of the $R_Δ=10^{10}$ plane, especially in regions very close to ${\bf (x,~y)}=(-1,~1)$. These results demonstrate that the $S_N$-breaking Standard Model is already sufficient to violate CP symmetry explicitly and generate a significant amount of BAU. Furthermore, it solves existing problems without creating new ones.
