Contribution
Custodial Naturalness in the Electroweak Hierarchy
Speakers
- Mr. Juan JIMENEZ ROMAN
Primary authors
- Dr. Maria Catalina ESPINOZA-HERNANDEZ (Instituto de Fisica, UNAM.)
- Mr. Juan JIMENEZ ROMAN (Instituto de Física, UNAM)
Content
This mechanism aims to provide a solution to the hierarchy problem. To this end, it is based on a model with classical conformal invariance and a global custodial $SO(6)$ symmetry imposed at high energies. Quantum corrections break the conformal symmetry through the Coleman–Weinberg mechanism, dynamically generating a new scale and inducing vacuum expectation values for the scalar fields. The spontaneous breaking of the custodial symmetry gives rise to the Higgs boson as a pseudo-Nambu–Goldstone boson (pNGB), thereby protecting its mass from large radiative corrections. Interactions that explicitly break the custodial symmetry generate only small contributions to the Higgs mass, naturally leading to a hierarchy between the electroweak scale $v_H$ and the new dynamical scale $v_\Phi$, without requiring severe fine-tuning.
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