Orthogonal and Symplectic Technicolor

Project Coordinator: CP³-Origins

Partners: Syracuse University

This WP aims at phenomenological objectives similar to the WP1, namely to combine phenomenological studies and lattice results to identify clear signals of new physics that could unveil OT/ST technicolor at the LHC. These models have the advantage to be quite surely non-conformal and possessing very intriguing dark matter candidates. We will develop the technology to initiate the lattice simulations of these models.

Task 1: Collider physics and cosmological applications

We have recently presented the phase diagram for orthogonal and symplectic gauge theories with fermionic matter transforming according to any representation. By analyzing the phase diagram we discovered that SO(4) gauge theories with matter in the vector representation are also excellent candidates for models of electroweak symmetry breaking featuring new interesting candidates of dark matter, the weak-isotriplet TIMP (iTIMP). We plan to investigate the collider phenomenology of the models, the dark matter properties, the order of the associated electroweak phase transition and the impact on gravitational wave experiments.

Task 2: Lattice explorations of SO/SP gauge groups with fermions in various representations

We intend to investigate the structure of SO/SP gauge theories to look for the conformal windows in these models and assess whether it is possible to use such models to construct walking gauge theories  suitable for breaking electroweak symmetry in a technicolor-like scenario.

Milestones:

  1. Write the low energy effective theories and identify interesting signals for the LHC and dark matter. Timeframe: 8 m.
  2. Development of the codebase for numerical studies. Timeframe: 12m.
  3. Study of the phase structure of the SO(4) lattice theory with two Dirac flavors in the vector representation. Timeframe: 18m.
  4. Computation of the mass spectrum  and study of systematic errors. Timeframe: 24 m.