2019
DOI: 10.21468/scipostphys.7.3.027
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Anomalous dimensions of potential top-partners

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 t… Show more

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Cited by 37 publications
(26 citation statements)
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“…These would slow the running of the gauge coupling; moreover, a large anomalous dimension might appear near the conformal window. One could also look at other models entirely, among those listed by Franzosi and Ferretti [15]. Another theory that is under current study [16,17,18] is an Sp(4) gauge theory with a global SU(4) symmetry that breaks to Sp (4).…”
Section: Mixing: Discussionmentioning
confidence: 99%
“…These would slow the running of the gauge coupling; moreover, a large anomalous dimension might appear near the conformal window. One could also look at other models entirely, among those listed by Franzosi and Ferretti [15]. Another theory that is under current study [16,17,18] is an Sp(4) gauge theory with a global SU(4) symmetry that breaks to Sp (4).…”
Section: Mixing: Discussionmentioning
confidence: 99%
“…One long-standing problem is the possibility of generating sufficiently large composite fermion anomalous dimensions required to yield the correct top mass and to be larger than the fermion bilinear itself. This is not possible to achieve within calculable IRFP theories [12] JHEP07(2020)166 although without rigour one can still hope to achieve these large anomalous dimensions [13].…”
Section: Jhep07(2020)166mentioning
confidence: 99%
“…It is not unreasonable to expect a top partner of anomalous dimension close to −2. (Some estimates using perturbation theory are given in [38]. See [39] for the QCD-like case for which the anomalous dimensions tend to be smaller.)…”
Section: Partial Compositenessmentioning
confidence: 99%