Motti Intermediate Physics - HAL: Towards the Standard Model Sector - Three Approaches and a Universal Mass Correction Prediction

Extension of HAL toward the full SM. Three approaches: (1) Phenomenological: SM gauge terms as external inputs with HAL corrections. New prediction: all collider masses carry +alpha_em/2 = +0.36% correction. m_H^HAL = 125.706 GeV (+456 MeV, detectable with HL-LHC). (2) Honest boundary: HAL derives gravity+alpha_em+BMS+cosmology; SU(2)xSU(3) requires new sector. (3) Non-abelian extension n->n*dim(G): does not close. SU(2)xSU(3) remains the primary open problem.