| _version_ | 1866901200530571264 |
|---|---|
| author | Hernandez, Boson |
| author_facet | Hernandez, Boson |
| contents | <p>This work presents a minimal mass-closure scheme for a propagating scalar excitation associated with the structural channel beta within the visible action of the beta framework. The construction starts from the covariant visible sector, expanding the scalar potential around a locally stable branch to identify the branch curvature that defines the structural mass parameter.</p> <p>To resolve the dimensional tension between the role of beta as a structural quantity in the Yukawa hierarchy and its role as a dynamical scalar in the action, the structural variable is separated from a canonically normalized field B. A conservative effective ansatz is developed for the intrinsic structural block, the phi-B mixed sector, and the filtered contribution inherited from the deeper alpha reservoir.</p> <p>This approach yields a closed effective formula for the branch mass of the structural scalar and the mixed physical eigenvalues after diagonalization of the phi-B sector. In the weak-mixing regime, the observable state is identified as a beta-dominated scalar eigenmode. Finally, a benchmark realization is provided where the beta-dominated eigenmode lies near 285 GeV, with an internal spread of approximately 5 GeV under controlled parameter variations. This formulation establishes the branch mass and mixed eigenvalue spectrum of a structural scalar associated with the beta channel within the current effective framework.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19828967 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Beta boson Hernandez, Boson Alpha-beta-phi framework b framework beta boson Structural scalar Mass-closure scheme Theoretical Physics Scalar potential Yukawa hierarchy lhc run 3 <p>This work presents a minimal mass-closure scheme for a propagating scalar excitation associated with the structural channel beta within the visible action of the beta framework. The construction starts from the covariant visible sector, expanding the scalar potential around a locally stable branch to identify the branch curvature that defines the structural mass parameter.</p> <p>To resolve the dimensional tension between the role of beta as a structural quantity in the Yukawa hierarchy and its role as a dynamical scalar in the action, the structural variable is separated from a canonically normalized field B. A conservative effective ansatz is developed for the intrinsic structural block, the phi-B mixed sector, and the filtered contribution inherited from the deeper alpha reservoir.</p> <p>This approach yields a closed effective formula for the branch mass of the structural scalar and the mixed physical eigenvalues after diagonalization of the phi-B sector. In the weak-mixing regime, the observable state is identified as a beta-dominated scalar eigenmode. Finally, a benchmark realization is provided where the beta-dominated eigenmode lies near 285 GeV, with an internal spread of approximately 5 GeV under controlled parameter variations. This formulation establishes the branch mass and mixed eigenvalue spectrum of a structural scalar associated with the beta channel within the current effective framework.</p> |
| title | Beta boson |
| topic | Alpha-beta-phi framework b framework beta boson Structural scalar Mass-closure scheme Theoretical Physics Scalar potential Yukawa hierarchy lhc run 3 |
| url | https://doi.org/10.5281/zenodo.19828967 |