We discuss anomalous dimensions of top-partner candidates in theories of Partial Compositeness. First, we revisit, confirm and extend the computation by DeGrand and Shamir of anomalous dimensions of fermionic trilinears. We present general results applicable to all matter representations and to composite operators of any allowed spin. We then ask the question of whether it is reasonable to expect some models to have composite operators of sufficiently large anomalous dimension to serve as top-partners. While this question can be answered conclusively only by lattice gauge theory, within perturbation theory we find that such values could well occur for some specific models. In the Appendix we collect a number of practical group theory results for fourth-order invariants of general interest in gauge theories with many irreducible representations of fermions.
Cited by 4
Byung Su Kim et al., Into the conformal window: Multirepresentation gauge theories
Phys. Rev. D 101, 056008 (2020) [Crossref]
Ed Bennett et al., Sp(4)
gauge theories on the lattice: Quenched fundamental and antisymmetric fermions
Phys. Rev. D 101, 074516 (2020) [Crossref]
Diogo Buarque Franzosi et al., Top-quark partial compositeness beyond the effective field theory paradigm
J. High Energ. Phys. 2020, 40 (2020) [Crossref]
Ed Bennett et al., Sp (4) gauge theories on the lattice: Nf = 2 dynamical fundamental fermions
J. High Energ. Phys. 2019, 53 (2019) [Crossref]
Ontology / TopicsSee full Ontology or Topics database.
Authors / Affiliation: mappings to Contributors and OrganizationsSee all Organizations.
- Knut och Alice Wallenbergs Stiftelse (Knut and Alice Wallenberg Foundation) (through Organization: Knut och Alice Wallenbergs Stiftelse / Knut and Alice Wallenberg Foundation)