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
pdf
Submissions/Reports

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://www.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},
}

Cited by 24

Kim et al., Into the conformal window: Multirepresentation gauge theories
Phys. Rev. D 101, 056008 (2020) [Crossref]
Bennett et al., Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions
Phys. Rev. D 101, 074516 (2020) [Crossref]
Goertz, Flavour observables and composite dynamics: leptons
Eur. Phys. J. Spec. Top. 231, 1287 (2022) [Crossref]
Bennett et al., Glueballs and strings in Sp(2N) Yang-Mills theories
Phys. Rev. D 103, 054509 (2021) [Crossref]
Banerjee et al., Vacuum misalignment in presence of four-Fermi operators
Phys. Rev. D 107, 095006 (2023) [Crossref]
Bennett et al., Sp(2N) Lattice Gauge Theories and Extensions of the Standard Model of Particle Physics
Universe 9, 236 (2023) [Crossref]
Bennett et al., Lattice investigations of the chimera baryon spectrum in the Sp(4) gauge theory
Phys. Rev. D 109, 094512 (2024) [Crossref]
Agugliaro et al., Real and complex fundamental partial compositeness
J. High Energ. Phys. 2020, 166 (2020) [Crossref]
Elander et al., Towards top-down holographic composite Higgs: minimal coset from maximal supergravity
J. High Energ. Phys. 2022, 49 (2022) [Crossref]
Hasenfratz et al., Infrared fixed point and anomalous dimensions in a composite Higgs model
Phys. Rev. D 107, 114504 (2023) [Crossref]
Ferretti, Underlying gauge-fermion models of compositeness
Eur. Phys. J. Spec. Top. 231, 1265 (2022) [Crossref]
Goertz et al., Flavor hierarchies from emergent fundamental partial compositeness
Phys. Rev. D 108, 095019 (2023) [Crossref]
Cacciapaglia et al., Composite Higgs meets Planck scale: Partial compositeness from partial unification
Physics Letters B 815, 136177 136177 (2021) [Crossref]
Elander et al., Toward minimal composite Higgs models from regular geometries in bottom-up holography
Phys. Rev. D 107, 115021 (2023) [Crossref]
Bennett et al., Symplectic lattice gauge theories in the grid framework: Approaching the conformal window
Phys. Rev. D 108, 094508 (2023) [Crossref]
Franzosi et al., Top-quark partial compositeness beyond the effective field theory paradigm
J. High Energ. Phys. 2020, 40 (2020) [Crossref]
Bennett et al., Lattice studies of the Sp(4) gauge theory with two fundamental and three antisymmetric Dirac fermions
Phys. Rev. D 106, 014501 (2022) [Crossref]
Rosenlyst, Technically natural Higgs boson from Planck scale
Phys. Rev. D 106, 013002 (2022) [Crossref]
Bennett et al., Sp (4) gauge theories on the lattice: Nf = 2 dynamical fundamental fermions
J. High Energ. Phys. 2019, 53 (2019) [Crossref]
Cacciapaglia et al., Fundamental composite dynamics: A review
Physics Reports 877, 1 (2020) [Crossref]
Elander et al., Holographic models of composite Higgs in the Veneziano limit. Part II. Fermionic sector
J. High Energ. Phys. 2022, 66 (2022) [Crossref]
Bennett et al., Spectrum of mesons in quenched Sp(2N) gauge theories
Phys. Rev. D 109, 094517 (2024) [Crossref]
Cacciapaglia et al., Techni-Pati-Salam composite Higgs model
Phys. Rev. D 103, 055001 (2021) [Crossref]
Bennett et al., Singlets in gauge theories with fundamental matter
Phys. Rev. D 109, 034504 (2024) [Crossref]

Ontology / Topics

See full Ontology or Topics database.

Gauge theory

Authors / Affiliation: mappings to Contributors and Organizations

See all Organizations.

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)