论文标题
用不变理论的语言拼写违反麻血的CP
Spelling Out Leptonic CP Violation in the Language of Invariant Theory
论文作者
论文摘要
在风味不变的方面，我们在中微质量的规范seesaw模型中建立了麻裂CP违规之间的紧密联系，而在Seesaw有效田间理论（SEFT）中。我们第一次计算希尔伯特系列，并通过考虑尺寸 - five five weinberg Operator $ {\ cal o}^{αβ} _5 = \ overline {\ ell^eell^{} _ {} _ {α\ rm l lm l lm lm lm l}} \ widetilde {h}^{\ rm t} \ ell^{\ rm c} _ {β\ rm l} $和Dimension-six运算符$ {\ cal o}^{al o}^{αβ} _6 _6 _6 _6 = \ edline { {\ rm i} \ not \！\ partial \ widetilde {h}^\ dagger \ ell^{} _ {β\ rm l} $在树级匹配处。仅包含Wilson系数$ C^{αβ} _5 $和$ C^{αβ} _6 $已经使Seft能够结合有关完整Seesaw模型的所有物理信息。此外，阐明了SEFT和整个理论中CP保护的最小和必要条件，并且完成了两种理论中的风味不变性之间的匹配。通过风味不变的匹配，成功的瘦素发生所需的CP不对称与中微子 - 中微子中微子和中微子 - 抗氨基酸抗振荡的不对称性直接相关。令人惊讶的是，据透露，低能实验中的$ C^{αβ} _5 $和$ c^{αβ} _6 $的精确测量功能足以探测全部的Seesaw模型，包括违反CP违反COP的cp违反宇宙学Matteralogical Matterymological Matterymater-Antimmatersalmymattersymymymymymytry。
In terms of flavor invariants, we establish the intimate connection between leptonic CP violation in the canonical seesaw model for neutrino masses and that in the seesaw effective field theory (SEFT). For the first time, we calculate the Hilbert series and explicitly construct the primary flavor invariants in the SEFT by considering both the dimension-five Weinberg operator ${\cal O}^{αβ}_5 = \overline{\ell^{}_{α\rm L}} \widetilde{H} \widetilde{H}^{\rm T} \ell^{\rm C}_{β\rm L}$ and the dimension-six operator ${\cal O}^{αβ}_6 = \overline{\ell^{}_{α\rm L}} \widetilde{H} {\rm i} \not\!\partial \widetilde{H}^\dagger \ell^{}_{β\rm L}$ at the tree-level matching. The inclusion of only the Wilson coefficients $C^{αβ}_5$ and $C^{αβ}_6$ already enables the SEFT to incorporate all physical information about the full seesaw model. Moreover, the minimal sufficient and necessary conditions for CP conservation both in the SEFT and in the full theory are clarified, and the matching between the flavor invariants in both theories is accomplished. Through the matching of flavor invariants, the CP asymmetries necessary for successful leptogenesis are directly linked to those in neutrino-neutrino and neutrino-antineutrino oscillations at low energies. Surprisingly, it is revealed that the precise measurements of $C^{αβ}_5$ and $C^{αβ}_6$ in low-energy experiments are powerful enough to probe the full seesaw model, including CP violation for cosmological matter-antimatter asymmetry.
