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We propose the creation of a Light Exotics Effective Field Theory (LEX-EFT)catalog. LEX-EFT is a generic framework to capture all interactions between theStandard Model (SM) and all (or at least a large class of) theoreticallyallowed exotic states beyond the Standard Model (bSM), indexed by their SM andbSM charges. These states are light enough to be on or nearly on shell in somecollider processes. This framework, which subsumes beyond the Standard Modelparadigms as generally as possible, is meant to extend recent successfulimplementations of bSM EFTs and complement e.g. the Standard Model EffectiveField Theory (SMEFT), which can capture the off-shell effects of exotic fields.In this work, we review a general method for the construction of a completelist of gauge-invariant operators involving SM interactions with light exoticsvia iterative tensor product decomposition, up to the desired order in massdimension. Each operator is characterized by specific Clebsch-Gordancoefficients determined by the charge flow; we show how this charge flowaffects the range of EFT validity and cross sections associated with aneffective operator. We create an example catalog of exotic scalars coupling toSM gauge boson pairs, and we highlight some operators with exotic weak$\mathrm{SU}(2)_{\text{L}}$ charges that can produce spectacular LHCphenomenology. We further demonstrate the utility of the LEX-EFT approach withseveral examples of effects on kinematic distributions and cross sections thatwould not be captured by EFTs agnostic to the exotic degrees of freedom and mayevade the main inclusive collider searches tailored to the existing preferredset of standard bSM theories.

LEX-EFT: The Light Exotics Effective Field Theory