AI 中文总结
本研究分析SU(15)禁闭手征理论的味结构，通过两类味破缺赝标量场解释标准模型粒子质量与混合，定量给出不同味物理过程对复合能标的探测灵敏度范围。
AI 中文摘要
我们研究了$SU(15)_p$禁闭手征规范理论的味结构，该理论中标准模型（SM）的夸克、轻子和希格斯粒子均以复合束缚态的形式涌现。$SU(15)_p$的共轭反对称（$\boldsymbol{\bar{105}}$）和共轭对称（$\boldsymbol{\bar{120}}$）表示下的两个标量场的耦合，提供了两种$SU(4)_F$味破缺的spurion（赝标量场），它们同时产生了标准模型的汤川耦合与味改变过程。由于“右手同位旋”对称性，上型和下型汤川矩阵紧密关联，该对称性预言在自发对称性破缺不存在的情况下CKM矩阵是平凡的。轻子汤川耦合与夸克的汤川耦合因味spurion的共同来源而相互关联。通过为这两个味spurion设置合理的类Froggatt-Nielsen（弗罗加特-尼尔森）结构，我们发现具有$\boldsymbol{\text{O}(1)}$量级非微扰系数的基准拟合可以复现全部六种夸克质量、三种带电轻子质量以及CKM矩阵。这些相同的spurion还会介导带电轻子味破坏、中性介子混合、稀有K介子衰变，并诱导电偶极矩。我们在数值基准中比较了这些可观测量对复合能标$\boldsymbol{\rm Λ_{pre}}$的探测范围，发现电子电偶极矩（EDM）和$K^0$-$\bar{K}^0$混合提供了最强的灵敏度，可达$\boldsymbol{\text{O}(10^4)}$ TeV，这是质子衰变探测能区的下限；而$\boldsymbol{\to eγ}$、$D^0$-$\bar{D}^0$混合以及μ-e转换则在$10^2$-$10^3$ TeV能区提供互补的探测能力。预计的电子EDM灵敏度将把这一范围拓展至$\boldsymbol{\text{O}(10^6)}$ TeV，超出了计划中的质子衰变搜索的探测范围。
英文摘要
We study the flavour structure of an $SU(15)_p$ confining chiral gauge theory in which the Standard Model (SM) quarks, leptons, and Higgs emerge as composite bound states. The couplings of two scalar fields in the conjugate antisymmetric ($\overline{\mathbf{105}}$) and conjugate symmetric ($\overline{\mathbf{120}}$) representations of $SU(15)_p$ provide two $SU(4)_F$ flavour-breaking spurions that generate both the SM Yukawa couplings and the flavour-changing processes. The up and down Yukawa matrices are tightly-correlated due to a "right-handed isospin" symmetry, which predicts a trivial CKM matrix in the absence of spontaneous symmetry breaking. The lepton Yukawas are correlated with the quarks due to a common source of flavour spurions. With a judicious Froggatt-Nielsen-like texture for the two flavour spurions we find that a benchmark fit with $\mathcal{O}(1)$ non-perturbative coefficients reproduces all six quark masses, three charged lepton masses, and the CKM matrix. The same spurions mediate charged lepton flavour violation, neutral meson mixing, rare kaon decays, and induce electric dipole moments. We compare the reach on the compositeness scale $Λ_{\rm pre}$ across these observables in the numerical benchmark and find that the electron EDM and $K^0$-$\bar{K}^0$ mixing provide the strongest sensitivity, reaching $\mathcal{O}(10^4)$ TeV, the lower end of the range probed by proton decay, while $μ\to eγ$, $D^0$-$\bar{D}^0$ mixing, and $μ$-$e$ conversion give complementary reach at $10^2$-$10^3$ TeV. The projected electron EDM sensitivity extends this to $\mathcal{O}(10^6)$ TeV, beyond the reach of planned proton decay searches.
Comments42 pages, 6 figures
