AI 中文总结
在含惰性中微子混合与普朗克尺度压低修正的I型跷跷板框架中，研究紫外味结构对破坏T的中微子振荡不对称性的影响，发现普朗克修正远低于DUNE的CP相位灵敏度下限，为阴性唯象结果。
AI 中文摘要
我们构建、数值验证并唯象约束了一条管道，该管道将自发CP破坏的紫外I型跷跷板边界条件，与最小3+1惰性中微子框架中破坏T的振荡不对称性及CP不对称性的普朗克尺度压低修正相连接。紫外杨耦合结构通过Casas-Ibarra参数化重构，在跷跷板阈值处与Weinberg算符匹配，并利用单圈重整化群方程（RGE）演化至电弱能标。该重整化算符与3+1惰性中微子 sector 结合构建振荡哈密顿量，普朗克尺度压低项被微扰处理以得到闭式一阶修正。我们报告了在独立模块验证期间发现并修正的三个实质性实现错误。运行以高保真度传递紫外味结构，在整体味盲算符归一化运行约50%的情况下，混合角和相位的扭曲处于千分之一量级或更低。将紫外纹理置于四通道唯象套件（μ→eγ、τ→μγ、τ→eγ、非幺正性及微扰性）约束下，修正在自然能标下被限制在3×10⁻⁸至3×10⁻⁷之间。我们证明，在所有允许点，不对称性修正与Casas-Ibarra角完全无关，仅通过允许的重谱间接影响修正。惰性中微子 sector 效应强烈依赖于纹理，范围从抑制到40倍增强。评估对应的反中微子哈密顿量以计算CP不对称性时，我们发现普朗克诱导的修正比DUNE已公布的CP相位灵敏度下限低2至3个数量级。我们将此作为一个经检验、可重复的阴性唯象结果呈现。
英文摘要
We construct, numerically validate, and phenomenologically constrain a pipeline connecting a spontaneously CP-violating ultraviolet Type-I seesaw boundary condition to Planck-suppressed corrections of the T-violating oscillation asymmetry and the CP asymmetry in a minimal 3+1 sterile-neutrino framework. The ultraviolet Yukawa structure is reconstructed via Casas-Ibarra parameterization, matched onto the Weinberg operator at seesaw thresholds, and evolved to the electroweak scale using one-loop RGEs. The renormalized operator is combined with a 3+1 sterile sector to build the oscillation Hamiltonian, with Planck-suppressed terms treated perturbatively to yield closed-form first-order corrections. We report three substantive implementation errors identified and corrected during independent module validation. Running transports ultraviolet flavor structure with high fidelity distorting mixing angles and phases at or below the per-mille level despite an overall flavor-blind operator normalization run of about fifty percent. Subjecting the ultraviolet texture to a four-channel phenomenological suite (muon to electron gamma, tau to muon gamma, tau to electron gamma, non-unitarity, and perturbativity) confines the correction to the range between three in one hundred million and three in ten million at the natural scale. We prove the asymmetry correction is exactly independent of Casas-Ibarra angles at all allowed points, affecting the correction only indirectly via allowed heavy spectra. Sterile sector effects are strongly texture-dependent, ranging from suppression to a forty-fold enhancement. Evaluating the corresponding antineutrino Hamiltonian for the CP asymmetry, we find the Planck-induced correction lies two to three orders of magnitude below DUNE's published CP-phase sensitivity floor. We present this as a checked, reproducible negative phenomenological result.
Comments15 pages 6 figures
