Complete One-Loop Renormalization of the Higgs-Electroweak Chiral Lagrangian
Résumé
The electroweak sector of the Standard Model can be formulated in a way similar to Chiral Perturbation Theory (ChPT), but extended by a singlet scalar. The resulting effective field theory (EFT) is called Higgs-Electroweak Chiral Lagrangian (EWCh$\mathcal{L}$) and is the most general approach to new physics in the Higgs sector. It solely assumes the pattern of symmetry breaking leading to the three electroweak Goldstone bosons (i.e. massive $W$ and $Z$) and the existence of a Higgs-like scalar particle. The power counting of the EWCh$\mathcal{L}$ is given by a generalization of the momentum expansion of ChPT. It is connected to a loop expansion, making the theory renormalizable order by order in the EFT.I will briefly review the construction of the EWCh$\mathcal{L}$ and its power counting. Then, I will discuss the complete one-loop renormalization of the EWCh$\mathcal{L}$ employing the background-field method and the super-heat-kernel expansion. This computation confirms the power counting assumptions, is consistent with the completeness of the operator basis, and reproduces known results of subsectors in the appropriate limits.Preprint numbers: FERMILAB-CONF-19-066-T
Mots clés
effective Lagrangian: chiral
perturbation theory: chiral
expansion: momentum
expansion: heat kernel
singlet: scalar
effective field theory
electroweak interaction: symmetry breaking
renormalization
Goldstone particle
background field
scalar particle
Higgs particle
field theory: renormalizable
new physics
higher-order: 1
expansion: higher-order