Abstract
We perform the first convergent Bayesian global fits of 4D Composite Higgs Models with partially-composite third generation quarks and leptons based on the minimal SO(5) → SO(4) symmetry breaking pattern. We consider two models with the τ lepton and its associated neutrino in different representations of SO(5). Fitting each model with a wide array of experimental constraints allows us to analyse the Bayesian evidence and currently-observed fine-tuning of each model by calculating the Kullback-Leibler divergence between their respective priors and posteriors. Notably both models are found to be capable of satisfying all constraints simultaneously at the 3σ level at scales of < 5 TeV. From a Bayesian viewpoint of naturalness the model with leptons in the 14 and 10 representations is preferred over those in the 5 representation due to its lower fine-tuning. Finally, we consider the experimental signatures for the preferred parameters in these models, including lepton partner decay signatures and gluon-fusion produced Higgs signal strengths, and discuss their potential phenomenology at future high-luminosity LHC runs.
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Acknowledgments
We thank Peter Stangl for allowing us to use pypngb for this work. MJW, AGW and KG are funded by the ARC Centre of Excellence for Dark Matter Particle Physics CE200100008 and are further supported by the Centre for the Subatomic Structure of Matter (CSSM). EC is supported by the Clarendon Fund Scholarship in partnership with the Oxford-Berman Graduate Scholarship. WS is supported by the Natural Science Foundation of China (NSFC) under grant number 12305115 and the Shenzhen Science and Technology Program (Grant No. 202206193000001, 20220816094256002).
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Carragher, E., Goh, K., Su, W. et al. Extending global fits of 4D Composite Higgs Models with partially composite leptons. J. High Energ. Phys. 2024, 185 (2024). https://doi.org/10.1007/JHEP08(2024)185
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DOI: https://doi.org/10.1007/JHEP08(2024)185