Neutrino textures and charged lepton flavour violation in light of $\theta$13, MEG and LHC data

In light of recent results from the LHC, MEG and neutrino experiments, we revisit the issue of charged lepton flavour violation (LFV), which arises naturally in supersymmetric theories with massive neutrinos via flavour-violating soft supersymmetry-breaking masses for sleptons induced by radiative corrections. We link our results to the expectations for neutrino mixing angles, with particular focus on theta13 in various Abelian flavour texture models, showing how LFV observables may distinguish between different possibilities. We focus on the radiative decays $\mu \to e \gamma$ and $\tau \to \mu \gamma$, and on detection prospects at the LHC and a linear collider (LC). We use supersymmetric parameters favoured by $g_\mu$-2 and cosmological considerations that are consistent with LHC searches for supersymmetry and the Higgs mass. We find a class of scenarios where the LHC may be sensitive to LFV sparticle decays and LFV processes could be detectable at a LC with centre-of-mass energy above 1 TeV, whereas LFV lepton decays may be suppressed by cancellations in the decay amplitudes.