# On a reinterpretation of the Higgs field in supersymmetry and a proposal for new quarks

## TL;DR

This paper reinterprets the Higgs fields in supersymmetry as part of a fourth lepton family and proposes new vector-like quarks, offering a more unified view of matter and Higgs sectors.

## Contribution

It introduces a minimal model where Higgs doublets are seen as lepton superfields, extending the matter content to include a fourth family with new quarks.

## Key findings

- Higgs fields can be interpreted as leptons in supersymmetry with R-parity violation.
- The model includes a vector-like quark doublet as part of the fourth family.
- Discussion of phenomenological implications of new quarks.

## Abstract

In the framework of supersymmetry, when $R$-parity is violated the Higgs doublet superfield $H_d$ can be interpreted as another doublet of leptons, since all of them have the same quantum numbers. Thus Higgs scalars are sleptons and Higgsinos are leptons. We argue that this interpretation can be extended to the second Higgs doublet superfield $H_u$, when right-handed neutrinos are assumed to exist. As a consequence, we advocate that this is the minimal construction where the two Higgs doublets can be interpreted in a natural way as a fourth family of lepton superfields, and that this is more satisfactory than the usual situation in supersymmetry where the Higgses are `disconnected' from the rest of the matter and do not have a three-fold replication. On the other hand, in analogy with the first three families where for each lepton representation there is a quark counterpart, we propose a possible extension of this minimal model including a vector-like quark doublet representation as part of the fourth family. We also discuss the phenomenology of the associated new quarks.