Nambu-Goldstone Boson Hypothesis for Squarks and Sleptons in Pure Gravity Mediation

TL;DR

This paper proposes that squarks and sleptons could be Nambu-Goldstone bosons within a specific supersymmetric model, explaining their masses and potentially predicting observable particles at the LHC.

Contribution

It introduces a concrete SUSY model based on an E7/SU(5)×U(1)^3 non-linear sigma model where squarks and sleptons are NG bosons, linking family origin to the Kahler manifold.

Findings

First and second generation squarks could be as light as a few TeV.

Model aligns with pure gravity mediation and minimal split SUSY.

Potential discovery of light squarks at LHC Run-2.

Abstract

We point out that a hypothesis of squarks and sleptons being Nambu-Goldstone (NG) bosons is consistent with pure gravity mediation or minimal split supersymmetry (SUSY). As a concrete example, we consider a SUSY $E_7/SU(5) \times U(1)^3$ non-linear sigma model in the framework of pure gravity mediation. The model accommodates three families of the quark and lepton chiral multiplets as (pseudo) NG multiplets of the Kahler manifold, which may enable us to understand the origin and number of the families. We point out that squarks in the first and second generations are likely to be as light as a few TeV if the observed baryon asymmetry is explained by the thermal leptogenesis; therefore, these colored particles can be discovered at the LHC Run-2 or at the high luminosity LHC.