Effective Theory and Simple Completions for Neutrino Interactions

We consider all the dimension 6 operators as well as some simple extensions of the standard model that give new contributions to neutrino interactions with matter. Such interactions are usually parametrized by ϵ_(αβ), where α and β are neutrino flavor indices taking the values e, μ and τ. In the simple models we consider the ϵ_(αβ)'s are much more constrained than in the operator-based model-independent approach. Typically the ϵ_(αβ)'s are restricted to be smaller in magnitude than around 10^(−3). In some of the leptoquark models, a specific pattern for the leptoquark Yukawa couplings allows the diagonal element ϵ_(ττ) to be as large as ∼0.1, or one of ϵ_(ee), ϵ_(μμ)∼0.01. We discuss the interplay between neutrino physics and leptoquark searches at the LHC