Complete One-Loop Renormalization of the Higgs-Electroweak Chiral Lagrangian

Conference · Wed Jul 17 04:00:00 EDT 2019 · PoS

OSTI ID:1546005

Krause, Claudius ^[1]; Buchalla, Gerhard ^[2]; Cata, Oscar ^[3]; Celis, Alejandro ^[2]; Knecht, Marc ^[4]

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1. Fermilab
2. Munich U.
3. Siegen U.
4. Marseille, CPT

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 Laboratory (FNAL), Batavia, IL (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
• DOE Contract Number: AC02-07CH11359
• OSTI ID: 1546005
• Report Number(s): arXiv:1907.07605; FERMILAB-CONF-19-066-T; 1744312
• Conference Information: Journal Name: PoS Journal Volume: CD2018
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS