MFV SUSY: A Natural Theory for R-Parity Violation

TL;DR

This paper proposes MFV SUSY, a low-energy supersymmetry model with R-parity violation governed by minimal flavor violation, allowing light squarks and a long-lived proton without missing energy signals at the LHC.

Contribution

It introduces a highly constrained MFV SUSY framework where R-parity is an accidental symmetry, differing from previous models by imposing holomorphy on MFV spurions.

Findings

R-parity violation is controlled by flavor parameters.

Proton remains long-lived with mild constraints from low-energy observables.

LHC signals depend on the nature of the LSP, with squark LSPs decaying promptly.

Abstract

We present an alternative approach to low-energy supersymmetry. Instead of imposing R-parity we apply the minimal flavor violation (MFV) hypothesis to the R-parity violating MSSM. In this framework, which we call MFV SUSY, squarks can be light and the proton long lived without producing missing energy signals at the LHC. Our approach differs from that of Nikolidakis and Smith in that we impose holomorphy on the MFV spurions. The resulting model is highly constrained and R-parity emerges as an accidental approximate symmetry of the low-energy Lagrangian. The size of the small R-parity violating terms is determined by the flavor parameters, and in the absence of neutrino masses there is only one renormalizable R-parity violating interaction: the baryon-number violating $\bar{u}\bar{d}\bar{d}$ superpotential term. Low energy observables (proton decay, dinucleon decay and $n-\bar{n}$ oscillation) pose only mild constraints on the parameter space. LHC phenomenology will depend on whether the LSP is a squark, neutralino, chargino or slepton. If the LSP is a squark it will have prompt decays, explaining the non-observation of events with missing transverse energy at the LHC.