Anomalous dimensions of potential top-partners

Buarque Franzosi, Diogo; Ferretti, Gabriele

doi:10.21468/SciPostPhys.7.3.027

SciPost Physics

Anomalous dimensions of potential top-partners

Diogo Buarque Franzosi, Gabriele Ferretti

SciPost Phys. 7, 027 (2019) · published 4 September 2019

doi: 10.21468/SciPostPhys.7.3.027
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Abstract

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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.7.3.027
TI  - Anomalous dimensions of potential top-partners
PY  - 2019/09/04
UR  - https://scipost.org/SciPostPhys.7.3.027
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 7
IS  - 3
SP  - 027
A1  - Buarque Franzosi, Diogo
AU  - Ferretti, Gabriele
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.7.3.027,
	title={{Anomalous dimensions of potential top-partners}},
	author={Diogo Buarque Franzosi and Gabriele Ferretti},
	journal={SciPost Phys.},
	volume={7},
	pages={027},
	year={2019},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.7.3.027},
	url={https://scipost.org/10.21468/SciPostPhys.7.3.027},
}

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¹ Diogo Buarque Franzosi,
¹ Gabriele Ferretti

¹ Chalmers Tekniska Högskola / Chalmers University of Technology

Funder for the research work leading to this publication

Knut och Alice Wallenbergs Stiftelse (Knut and Alice Wallenberg Foundation) (through Organization: Knut och Alice Wallenbergs Stiftelse / Knut and Alice Wallenberg Foundation)