Charged-Fermion Mass Phenomenology and the Pati-Salam Mass Plane: Route Normalization, Physical Matching, and Current Probes in Sp(18)
Year: 2026
Type: preprint
Abstract: For positive running charged-fermion masses in one scheme and at one scale, define $A_s=\tfrac14\ln(m_{s,1}m_{s,3}/m_{s,2}^2)$ and $\Delta_\Pi=A_\ell+2A_d-A_u$. A specified four-channel Pati--Salam source map identifies the primitive correction normal to this plane with the unique route-odd coefficient, $\delta\Delta_\Pi=-a_-/4$. An exact finite matching identity retains noncommuting kinetic determinants and middle singular values. Adjoint Sp(18) supplies conditional mass reconstruction from current and scalar observables, full-rank neutral--link vacua and a quantitative canonical tree gap under explicit metric bounds. In the distinct antisymmetric $\mathrm{USp}(6)$ construction, a quark-source pencil and current projections reduce the independent normalization inputs. A spectator-active vacuum preserves matter parity and baryon triality; one tensor operator lifts both strong moduli without new preons. Directional mixing leaves one light Higgs pair and a nonsingular coloured $H_{15}$ block. An exact four-doublet electroweak example has 13 positive physical scalar directions and three gauge zeros. These results establish compatible local sectors in specified tree effective theories. Ultraviolet coefficient selection, strong-sector backreaction, the full quantum vacuum and physical pole matching remain to be determined. No absolute charged mass follows from the present inputs. A detailed comparison states each construction's achievements and next physical tests without excluding unexamined actions or phases.
Source: Preprints.org
Author: Yaroslav D. Krivenko-Emetov
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7222530297