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The recent discovery of a light Higgs boson completes the Standard Model of particle physics, as proposed and elaborated over the last fifty years. A consistent picture of the dynamics of particle physics now describes a basic set of particles---quarks, leptons, gauge bosons. At first glance, the simplest mechanism for giving them mass via spontaneous symmetry breaking has now been confirmed. The Higgs itself, however, presents us with serious difficulties stemming from a conceptual gap in the Standard Model. The Standard Model demands extension. Such extensions can be tested, to a degree, by future runs at the Large Hadron Collider and at future accelerators.

Phenomenologists have been constructing extensions of the Standard Model in order to deal with the difficulties posed by the Higgs, as well as all the other conundrums of the model. Usually they have been limited by the necessity of analytical understanding of their models, meaning that the models must contain small parameters for approximation near a well-understood theory. Any non-perturbative physics is usually assumed to result from some rescaling of QCD, regarded as a well-understood theory.

At the same time, lattice gauge theorists have been applying nonperturbative methods honed for QCD to study an ever wider variety of gauge theories. These have generally been chosen in order to explore certain properties in convenient theories that may not have direct relevance to the real world.

Lattice gauge theory, as applied beyond the Standard Model, has reached a stage where it is necessary to bring these two communities together. Phenomenologists can learn what is possible today in the realm of non-perturbative calculation on a lattice; lattice theorists can learn what models would be most useful to model builders.  We intend to bring together leading researchers in the two areas for a fruitful week of discussion.

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Supported by the I-CORE Program of the Planning and Budgeting Committee and the Israel Science Foundation (grant No 1937/12)