Anomalous dimensions of potential top-partners
Journal article, 2019

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.

Author

Diogo Buarque Franzosi

Chalmers, Physics, Subatomic and Plasma Physics

Gabriele Ferretti

Chalmers, Physics, Subatomic and Plasma Physics

Scipost Physics

2542-4653 (ISSN)

Vol. 7 3 027

Subject Categories

Algebra and Logic

Mathematical Analysis

DOI

10.21468/SciPostPhys.7.2.027

More information

Latest update

12/6/2019