Minimal flavor violation supersymmetry: A natural theory forR-parity violation

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 violatingūdd superpotential term. Low energy observables (proton decay, dinucleon decay and n−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.

Soft RPV through the baryon portal

“…However, aside from the baryon violating A-term, all visible sector soft masses arise directly from gauge mediation, so their flavor structure comes entirely from Yukawa couplings. Thus, up to an overall coefficient, our n −n oscillation amplitudes are identical to those computed in [4]. Chirality-preserving flavor-violating masses arise predominantly from MSSM F -terms after SUSY and electroweak symmetry breaking through Figure 10.…”

“…where λ 0.23 comes from the approximate CKM matrix parametrization in [4]. The oscillation timescale is approximately τ n−n ∼ M −1 , thus the experimental bound τ n−n ≥ 2.44 × 10 8 sec.…”

“…Several models in the literature satisfy these criteria. Minimal Flavor Violating (MFV) SUSY [3,4], for example, constrains all flavor violating processes with the appropriate Yukawa couplings, which also determine the size and scope of allowed RPV interactions. However, maintaining MFV structure in a UV complete scenario requires nontrivial model building [5][6][7].…”

“…If, instead, L,Ē and N were all assigned unit R-charges, an additional discrete or flavor symmetry would be necessary to forbid lepton violation in the IR. Examples of such constructions can be found in [4][5][6] and [27].…”

“…Unlike similar processes in MFV SUSY [4] where the light quark couplings are Yukawa suppressed, our setup imposes no necessary hierarchies in the RPV couplings.…”