Complete One-Loop Renormalization of the Higgs-Electroweak Chiral Lagrangian
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.
- Research Organization:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- DOE Contract Number:
- AC02-07CH11359
- OSTI ID:
- 1546005
- Report Number(s):
- arXiv:1907.07605; FERMILAB-CONF-19-066-T; 1744312
- Journal Information:
- PoS, Vol. CD2018; Conference: 9th International Workshop on Chiral Dynamics, Durham, NC, USA, 09/17-09/21/2018
- Country of Publication:
- United States
- Language:
- English
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