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A Modular Effective Flavor-Readout Framework for Mass Endpoints, Mixing Overlaps, and CP Residues

A Calibrated Effective Readout Note

##article.authors##

  • Sasaki, Yuji Independent Researcher

DOI:

https://doi.org/10.51094/jxiv.5095

キーワード:

flavor physics、 fermion masses、 CKM matrix、 PMNS matrix、 neutrino masses、 CP violation、 Yukawa hierarchy、 effective operator、 mass-square endpoint、 modular flavor readout

抄録

The flavor sector of the Standard Model contains several interconnected structures, including fermion mass hierarchies, quark and lepton mixing matrices, and CP-violating phases. While these quantities are experimentally well established, no unique first-principles framework currently explains their observed numerical patterns.
This work proposes a calibrated effective readout architecture, motivated by the HIPM–AWM–MSL sequence, in which flavor observables are organized into three distinct layers. Mass hierarchies are treated as eigenvalue-based diagnostics, mixing structures are interpreted as measures of relative eigenbasis overlap, and CP-like phenomena are described as residual phase effects associated with loops or basis overlaps.
Within this framework, a central mass-square endpoint variable is introduced as a compact diagnostic of sector hierarchy. A calibrated endpoint relation connects the charged-lepton, quark, and neutrino sectors and yields neutrino-sector endpoints consistent with a low-mass normal-ordering scenario under representative input choices.
The framework also reproduces a characteristic suppression pattern in the CKM sector, supporting the interpretation that non-adjacent quark mixing is structurally reduced relative to adjacent mixing channels. On the lepton side, PMNS and NBLC-related targets are most naturally interpreted as constrained diagnostic endpoints within a normal-ordering, lower-octant region.
The proposal is not intended as a first-principles derivation of the Yukawa sector, the CKM matrix, the PMNS matrix, or CP-violating phases. Rather, it provides a modular effective framework for organizing flavor observables while keeping eigenvalue structure, eigenbasis geometry, and phase information conceptually distinct.

利益相反に関する開示

The author declares no conflicts of interest associated with this study.

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引用文献

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投稿日時: 2026-06-13 17:00:08 UTC

公開日時: 2026-07-24 07:37:23 UTC
研究分野
物理学