The Higgs Mass and the Emergence of New Physics

TL;DR

This paper explores how formulating the electroweak sector with superconnections relates the Higgs mass to new physics around 4 TeV, indicating an emergent structure linked to the Pati-Salam model and potential high-energy connections.

Contribution

It introduces a superconnection framework involving SU(2/1) and extends it to SU(2/2), connecting the Higgs mass to new physics near 4 TeV and suggesting a link to string theory constructions.

Findings

Higgs mass linked to new physics at ~4 TeV

Emergent supergroup SU(2/2) relates to Pati-Salam model

Potential connection between low-energy and Planck-scale physics

Abstract

We investigate the physical implications of formulating the electroweak (EW) part of the Standard Model (SM) in terms of a superconnection involving the supergroup SU(2/1). In particular, we relate the observed Higgs mass to new physics at around 4 TeV. The ultraviolet incompleteness of the superconnection approach points to its emergent nature. The new physics beyond the SM is associated with the emergent supergroup SU(2/2), which is natural from the point of view of the Pati-Salam model. Given that the Pati-Salam group is robust in certain constructions of string vacua, these results suggest a deeper connection between low energy (4 TeV) and high energy (Planck scale) physics via the violation of decoupling in the Higgs sector.