Electroweak masses and CP violation from the boundary

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Abstract

The boundary wave framework is extended from fermions to electroweak gauge bosons and CP violation. The weak mixing angle sin²θ_W = 2/9 follows from counting quark modes on the orbifold interval. Combined with the Sirlin relation and standard electroweak loop corrections, this predicts M_Z = 91.33 GeV (+0.16%) and M_W = 80.55 GeV (+0.22%) with M_Z as a prediction, not an input. The top Yukawa coupling y_t = 1 − (1/5)³ (0.08%) and Higgs quartic λ = (1 + (1/5)²)/8 (0.5%) emerge from the same perturbation hierarchy. Real overlap integrals give θ_QCD = 0 without a Peccei-Quinn symmetry; SU(2)_L doublet rotations at orbifold nodes generate δ_CP = arctan(m_d/m_u) = 65.0° (−0.12σ) and the Jarlskog invariant J = 2.99…

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Topics & keywords

Keywords
  • Electroweak interaction
  • Yukawa potential
  • Fermion
  • Standard Model (mathematical formulation)
  • Higgs boson
  • Orbifold
  • Top quark
  • CP violation
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