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Anomalous dimensions of potential top-partners

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arxiv 1905.08273 v3 pith:JOONENDE submitted 2019-05-20 hep-ph hep-lat

Diogo Buarque Franzosi , Gabriele Ferretti This is my paper · ORCID
classification hep-phhep-lat
keywords anomalousdimensionstheorycompositegaugegeneralmodelsoperators
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 3 Pith papers

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  1. Meson spectroscopy in the $Sp(4)$ gauge theory with three antisymmetric fermions

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    Lattice simulations of Sp(4) with three antisymmetric Dirac fermions find QCD-like confinement and chiral symmetry breaking, and provide a first continuum-extrapolated meson spectrum.

  2. Real and Complex Fundamental Partial Compositeness

    hep-ph 2019-08 conditional novelty 6.0 of 10

    The paper completes the minimal fundamental partial compositeness EFT for real and complex TC representations, finding a custodial-triplet VEV with a rho-parameter contribution in SU(5)/SO(5) and no triplet VEV in SU(...

  3. Top-quark Partial Compositeness beyond the effective field theory paradigm

    hep-ph 2019-08 conditional novelty 6.0 of 10

    In a simplified partial-compositeness model, energy-dependent gluon form factors suppress heavy top partner production by up to an order of magnitude and add a few-percent distortion to quark-initiated top pair production.

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