2025/12/18 by Masayuki NOTE, Note, Masayuki
Physics and Astronomy · Social Sciences · #Particle physics theoretical and experimental studies #Noncommutative and Quantum Gravity Theories #International Science and Diplomacy
paper · doi:10.48550/arxiv.2512.16955
Within the framework of local, Lorentz-invariant, and Hermitian field theories, we investigate the classification of dimension-6 operators that facilitate the dynamical cancellation of vacuum-energy divergences. We demonstrate that the operator class based on the \Box2 d'Alembertian is uniquely singled out by the requirement of universal power-divergence subtraction across all spin sectors. By explicitly evaluating the modified propagators and one-loop vacuum integrals, we show that only this structure consistently removes Λ4 and m2Λ2 terms while preserving gauge covariance. Adopting the Real-Time Negative-Norm Prescription (RTNNP) as a consistent contour selection, we find that the higher-derivative Lee--Wick (HDLW) structure leads to a finite, calculable Higgs mass correction. Our results suggest a phenomenologically preferred scale of M ≈ 11.3 TeV, offering a predictive and structurally motivated resolution to the hierarchy problem.