Electroweak & Higgs Completion:Geometric Yukawa Texture, ε-Higgs Portal, and Resonance Gap Closure
Fuente:
Zenodo
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Recurso digital |
| Langue: | anglais |
| Publié: |
Zenodo
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866901543254491136 |
|---|---|
| author | Kang, Kyunglim |
| author_facet | Kang, Kyunglim |
| contents | <p dir="ltr">We derive the electroweak sector completion of Z-Spin Cosmology from the locked geometric impedance A = 35/437 (ZS-F2) with one texture parameter (δ). Three principal results are established.</p> <p dir="ltr">First, the Z₂ seam involution (ZS-F5, κ = 4 witness) enforces a μ–τ symmetric Yukawa texture. Lemma 1 proves that if the full EFT respects P₂₃, the HNL mass degeneracy is exact at all perturbative orders [PROVEN]. The Corollary shows charged-lepton breaking is sub-leading by ~10⁴.</p> <p dir="ltr">Second, cross-sector transduction controlled by A breaks this degeneracy at 1-loop, yielding </p> <p dir="ltr">ΔM/Γ_N ~ O(10²) in the MS̄scheme, partially resolving ZS-S5’s resonance gap (F23-R1: 10¹⁵ → 10²). CP asymmetry margin is ~135× at the central value [DERIVED].</p> <p dir="ltr">Third, the ε-Higgs portal coupling, arising from the conformal factor Ω² = 1 + Aε², is fully characterized in the Einstein frame, confirming that the Higgs potential shape is preserved while all ε–H interactions are perturbatively small (ξ_eff ~ 4 × 10⁻⁵) [DERIVED].</p> <p dir="ltr">We identify a candidate EWSB trigger pathway via classical scale invariance combined with the ε- portal [HYPOTHESIS]. We compute the electroweak phase transition modification (H_ZS/H_GR = 1/√(1+A) = 0.9622) and its impact on BBN via the expansion rate. The 1-loop Hosotani quartic vanishes exactly (STr(q⁴) = 6−6 = 0, PROVEN), establishing λ(Λ_comp) = 0 as the UV boundary condition. The CP-instanton EWSB mechanism (v3.0.0–v4.0.0) is structurally blocked by the B+L Selection Rule Theorem (§6.9, PROVEN): the single instanton (ν=1) generates Δ(B+L)=6 and cannot contribute to V_eff(H). The v = 246.18 GeV formula is RETRACTED. The surviving EWSB pathway (Path B, §6.10) combines λ(Λ_comp)=0 [PROVEN] with SM RG to yield a testable top- mass prediction: m_t^pred = 171.5 ± 0.5 GeV [TESTABLE], decisively testable by FCC-ee. [v6.3.0 update: The Higgs VEV v = 245.93 GeV is now DERIVED via the Factorized Determinant Theorem (§6.12), with 0.12% precision and zero free parameters.] The Higgs mass structure is reformulated as a top-mass inverse problem. All 68 verification tests pass.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19145556 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Electroweak & Higgs Completion:Geometric Yukawa Texture, ε-Higgs Portal, and Resonance Gap Closure Kang, Kyunglim Higgs Vacuum Expectation Value, Hierarchy Problem, Electroweak Symmetry Breaking, Dimensional Transmutation Spectral Geometry, Zeta-Function Regularization, Heat Kernel Expansion, Cheeger-Müller Duality, Analytic Torsion Zero Free Parameters, Planck Scale Transduction , Weyl Law Scaling <p dir="ltr">We derive the electroweak sector completion of Z-Spin Cosmology from the locked geometric impedance A = 35/437 (ZS-F2) with one texture parameter (δ). Three principal results are established.</p> <p dir="ltr">First, the Z₂ seam involution (ZS-F5, κ = 4 witness) enforces a μ–τ symmetric Yukawa texture. Lemma 1 proves that if the full EFT respects P₂₃, the HNL mass degeneracy is exact at all perturbative orders [PROVEN]. The Corollary shows charged-lepton breaking is sub-leading by ~10⁴.</p> <p dir="ltr">Second, cross-sector transduction controlled by A breaks this degeneracy at 1-loop, yielding </p> <p dir="ltr">ΔM/Γ_N ~ O(10²) in the MS̄scheme, partially resolving ZS-S5’s resonance gap (F23-R1: 10¹⁵ → 10²). CP asymmetry margin is ~135× at the central value [DERIVED].</p> <p dir="ltr">Third, the ε-Higgs portal coupling, arising from the conformal factor Ω² = 1 + Aε², is fully characterized in the Einstein frame, confirming that the Higgs potential shape is preserved while all ε–H interactions are perturbatively small (ξ_eff ~ 4 × 10⁻⁵) [DERIVED].</p> <p dir="ltr">We identify a candidate EWSB trigger pathway via classical scale invariance combined with the ε- portal [HYPOTHESIS]. We compute the electroweak phase transition modification (H_ZS/H_GR = 1/√(1+A) = 0.9622) and its impact on BBN via the expansion rate. The 1-loop Hosotani quartic vanishes exactly (STr(q⁴) = 6−6 = 0, PROVEN), establishing λ(Λ_comp) = 0 as the UV boundary condition. The CP-instanton EWSB mechanism (v3.0.0–v4.0.0) is structurally blocked by the B+L Selection Rule Theorem (§6.9, PROVEN): the single instanton (ν=1) generates Δ(B+L)=6 and cannot contribute to V_eff(H). The v = 246.18 GeV formula is RETRACTED. The surviving EWSB pathway (Path B, §6.10) combines λ(Λ_comp)=0 [PROVEN] with SM RG to yield a testable top- mass prediction: m_t^pred = 171.5 ± 0.5 GeV [TESTABLE], decisively testable by FCC-ee. [v6.3.0 update: The Higgs VEV v = 245.93 GeV is now DERIVED via the Factorized Determinant Theorem (§6.12), with 0.12% precision and zero free parameters.] The Higgs mass structure is reformulated as a top-mass inverse problem. All 68 verification tests pass.</p> |
| title | Electroweak & Higgs Completion:Geometric Yukawa Texture, ε-Higgs Portal, and Resonance Gap Closure |
| topic | Higgs Vacuum Expectation Value, Hierarchy Problem, Electroweak Symmetry Breaking, Dimensional Transmutation Spectral Geometry, Zeta-Function Regularization, Heat Kernel Expansion, Cheeger-Müller Duality, Analytic Torsion Zero Free Parameters, Planck Scale Transduction , Weyl Law Scaling |
| url | https://doi.org/10.5281/zenodo.19145556 |