Natural SUSY's Last Hope: R-parity Violation via UDD Operators

TL;DR

This paper explores how UDD R-parity violation allows for more natural supersymmetric spectra at the LHC, avoiding missing energy signals and maintaining grand unification through product unification models.

Contribution

It introduces a grand unification model with UDD R-parity violation that enables natural SUSY spectra with non-universal gaugino masses, compatible with collider constraints.

Findings

R-parity violation reduces collider constraints on superpartners.

The SU(5) x U(3) model achieves grand unification with lepton number conservation.

Non-universal gaugino masses facilitate natural low-scale spectra.

Abstract

Here, we give a broad overview of the more natural spectra allowed by the LHC when UDD R-parity violation is allowed. Because R-parity violation removes the missing energy signals in colliders, the experimental constraints on the gluino, stops, sbottoms and higgsinos are relatively mild. We also show that UDD R-parity violation and lepton number conservation can be made consistent with grand unification. This feat is achieved through the product unification, SU(5) X U(3). In this model, mixing of the SM quarks with additional quark like particles charged under the U(3) generate a UDD R-parity violating operator. Furthermore, these models are also capable of generating a "natural" spectra. The emergence of these more natural low-scale spectra relies heavily on the fact that the gaugino masses are non-universal, a natural consequence of product unification.