What question did this study set out to answer?

The aim is to extend the HAL framework to incorporate full Standard Model dynamics and predict mass corrections.

June 28, 2026Open Access

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

Key Points

The aim is to extend the HAL framework to incorporate full Standard Model dynamics and predict mass corrections.
Developed three theoretical frameworks: phenomenological approach, honest boundary, and non-abelian extension.
Integrated corrections from gravity and other interactions into HAL.
Examined the implications for SU(2)xSU(3) and implications for collider physics.
Predicted a universal mass correction of +0.36% for all collider masses based on HAL.
Determined m_H^HAL to be 125.706 GeV, with a detectable increase of +456 MeV at HL-LHC.
Identified non-abelian extension poses a significant problem for SU(2)xSU(3) integration.

Abstract

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 +alphaₑm/2 = +0. 36% correction. mHHAL = 125. 706 GeV (+456 MeV, detectable with HL-LHC). (2) Honest boundary: HAL derives gravity+alphaₑm+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.

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