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arXiv 2402.02767hep-ph
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手征微扰论在次领头阶下对I型跷跷板机制的求解

Chiral perturbative solution for the type-I seesaw mechanism in next-to-leading order

Masaki J. S. Yang

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9 pages
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AI总结：

本文通过手征微扰论在次领头阶对角化I型跷跷板机制，利用狄拉克质量矩阵的层次化奇异值，证明NLO贡献被抑制在1%以内，确保领头阶精度足够。

摘要：

在这封信中，我们通过手征微扰对角化方法，在次领头阶（NLO）下对I型跷跷板机制进行了研究，该方法基于狄拉克质量矩阵$m_{D}$的层次化奇异值$\lambda_{i}$。由于右手中微子质量矩阵$M_{R}$在$\lambda_{i} \leftrightarrow -\lambda_{i}$变换下具有宇称对称性，$M_{R}$对角化的奇异值$M_{i}$和混合角分别仅由$\lambda_{i}$的偶次和奇次项表示。我们通过三阶和四阶的具体微扰展开证实了这一事实。结果表明，只要手征微扰论有效，NLO贡献相对于具有足够精度的领头阶表达式通常被抑制在$O(\lambda_{i}^{2} / \lambda_{j}^{2}) \lesssim 1\\%$的量级。

英文摘要：

In this letter, we perform chiral perturbative diagonalization of the type-I seesaw mechanism by hierarchical singular values $λ_{i}$ of the Dirac mass matrix $m_{D}$ up to the next-to-leading order (NLO). Since the mass matrix of right-handed neutrinos $M_{R}$ has parity symmetries under $λ_{i} \leftrightarrow - λ_{i}$, the singular values $M_{i}$ and mixing angles of diagonalization of $M_{R}$ are written by only even and odd orders of $λ_{i}$ respectively. We confirm this fact by specific perturbative expansions of the third- and the fourth-order by $λ_{i}$. As a result, as long as the chiral perturbation theory is valid, the NLO contributions are generally suppressed by $O(λ_{i}^{2} / \labmda_{j}^{2}) \lesssim 1\%$ compared to the leading-order expressions that have sufficient accuracies.

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。

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