Effective Theory and Simple Completions for Neutrino Interactions

Abstract

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 ${\epsilon }_{\alpha \beta }$, where $\alpha$ and $\beta$ are neutrino flavor indices taking the values $e$, $\mu$ and $\tau$. In the simple models we consider the ${\epsilon }_{\alpha \beta }$'s are much more constrained than in the operator-based model-independent approach. Typically the ${\epsilon }_{\alpha \beta }$'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 ${\epsilon }_{\tau \tau }$ to be as large as $\sim 0.1$, or one of ${\epsilon }_{ee}$, ${\epsilon }_{\mu \mu }\sim 0.01$. We discuss the interplay between neutrino physics and leptoquark searches at the LHC.

arXiv comment12 pages, 2 figures

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