The landscape of composite Higgs models
Metadatos
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Springer Nature
Materia
Compositeness Global Symmetries Multi-Higgs Models
Fecha
2024-03-04Referencia bibliográfica
Chala, M., Fonseca, R. The landscape of composite Higgs models. J. High Energ. Phys. 2024, 17 (2024). https://doi.org/10.1007/JHEP03(2024)017
Patrocinador
Grants RYC2019-027155-I (Ramón y Cajal), PID2019-106087GBC22, PID2021-128396NB-I00 and PID2022-139466NB-C22 funded by the MCIN /AEI/ 10.13039/501100011033, “El FSE invierte en tu futuro” and “FEDER Una manera de hacer Europa”; Junta de Andalucía grants FQM 101 and P21-00199Resumen
We classify all different composite Higgs models (CHMs) characterised by the
coset space G/H of compact semi-simple Lie groups G and H involving up to 13 Nambu-
Goldstone bosons (NGBs), together with mild phenomenological constraints. As a byproduct
of this work, we prove several simple yet, to the best of our knowledge, mostly unknown
results: (1) under certain conditions, a given set of massless scalars can be UV completed into
a CHM in which they arise as NGBs; (2) the set of all CHMs with a fixed number of NGBs
is finite, and in particular there are 642 of them with up to 13 massless scalars (factoring
out models that differ by extra U(1)’s); (3) any scalar representation of the Standard Model
group can be realised within a CHM; (4) Certain symmetries of the scalar sector allowed
from the IR perspective are never realised within CHMs. On top of this, we make a simple
statistical analysis of the landscape of CHMs, determining the frequency of models with
scalar singlets, doublets, triplets and other multiplets of the custodial group as well as their
multiplicity. We also count the number of models with a symmetric coset.