Four-Dimensional Higgs Mass Matching, Scalar Portals and Heavy Thresholds in Madhyasth Darshan

This paper develops Higgs mass matching and quantum scalar-portal calculations for explicit four-dimensional source models in Madhyasth Darshan. The material scalar action, its retained host and its experimental readout receive distinct definitions, with renormalization scheme, matching scale and kinetic normalization stated throughout. A shared triangular quark action generates two additive one-loop scalar portals and an exact finite-host quadratic coefficient. An attained orientation cost relates a nonreal light-sector reader to unavoidable source-weighted leakage. Canonical kinetic matching preserves universal right-handed neutral-current couplings while retaining the complete heavy-sector contribution. A resolved-cylinder construction determines the joint heavy-mass and spatial-resolution crossover, accompanied by a certified spectral-tail bound. This identifies when finite-resolution suppression persists and when increasing resolution exposes a substantial heavy threshold. Additional calculations treat local seam multiplicities, conditional gauge and anomaly branches, scalar signal strengths, invisible-width bounds and calibrated public-readout errors. The article distinguishes a matched scalar quadratic coefficient from a physical pole-mass determination and states the additional normalization and observable comparisons used for that identification. Together, these results provide concrete scalar-mass and threshold calculations for the admitted source models, with explicit error control and a defined route to empirical comparison.