Minimal Flavour Violation and Neutrino Masses without R-parity

Abstract

We study the extension of the Minimal Flavour Violation (MFV) hypothesis to the MSSM without R-parity. The novelty of our approach lies in the observation that supersymmetry enhances the global symmetry of the kinetic term and in the fact that we consider as irreducible sources of the flavour symmetry breaking all the couplings of the superpotential including the R-parity violating ones. If R-parity violation is responsible for neutrino masses, our setup can be seen as an extension of MFV to the lepton sector. We analyze two patterns based on the non-abelian flavour symmetries SU(3)^4 \otimes SU(4) and SU(3)^5. In the former case the total lepton number and the lepton flavour number are broken together, while in the latter the lepton number can be broken independently by an abelian spurion, so that visible effects and peculiar correlations can be envisaged in flavour changing charged lepton decays like \ell_i \rightarrow \ell_j γ.

23 pages, 3 figures. References added. Minor changes, to appear in JHEP

References in corpus (8)

• Minimal Flavour Seesaw Models
• Where we are on ${\theta }_{13}$: addendum to "Global neutrino data and recent reactor fluxes: status of three-flavour oscillation parameters"
• Constraints on New Physics in MFV models: a model-independent analysis of Delta F=1 processes
• Supersymmetric models with minimal flavour violation and their running
• Various definitions of Minimal Flavour Violation for Leptons
• Minimal flavour violation extensions of the seesaw
• CP violation and Leptogenesis in models with Minimal Lepton Flavour Violation
• Violations of lepton-flavour universality in P -> l nu decays: a model-independent analysis

Cited by in corpus (5)

• Physics of leptoquarks in precision experiments and at particle colliders
• New Patterns of Natural R-Parity Violation with Supersymmetric Gauged Flavor
• A framework for baryonic R-parity violation in grand unified theories
• Natural, R-parity violating supersymmetry and horizontal flavor symmetries
• MFV Reductions of MSSM Parameter Space