Complete OneLoop Renormalization of the HiggsElectroweak Chiral Lagrangian
Abstract
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 HiggsElectroweak 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 Higgslike 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 oneloop renormalization of the EWCh$$\mathcal{L}$$ employing the backgroundfield method and the superheatkernel 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.
 Authors:

 Fermilab
 Munich U.
 Siegen U.
 Marseille, CPT
 Publication Date:
 Research Org.:
 Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 OSTI Identifier:
 1546005
 Report Number(s):
 arXiv:1907.07605; FERMILABCONF19066T
1744312
 DOE Contract Number:
 AC0207CH11359
 Resource Type:
 Conference
 Journal Name:
 PoS
 Additional Journal Information:
 Journal Volume: CD2018; Conference: 9th International Workshop on Chiral Dynamics, Durham, NC, USA, 09/1709/21/2018
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Krause, Claudius, Buchalla, Gerhard, Cata, Oscar, Celis, Alejandro, and Knecht, Marc. Complete OneLoop Renormalization of the HiggsElectroweak Chiral Lagrangian. United States: N. p., 2019.
Web.
Krause, Claudius, Buchalla, Gerhard, Cata, Oscar, Celis, Alejandro, & Knecht, Marc. Complete OneLoop Renormalization of the HiggsElectroweak Chiral Lagrangian. United States.
Krause, Claudius, Buchalla, Gerhard, Cata, Oscar, Celis, Alejandro, and Knecht, Marc. Wed .
"Complete OneLoop Renormalization of the HiggsElectroweak Chiral Lagrangian". United States. https://www.osti.gov/servlets/purl/1546005.
@article{osti_1546005,
title = {Complete OneLoop Renormalization of the HiggsElectroweak Chiral Lagrangian},
author = {Krause, Claudius and Buchalla, Gerhard and Cata, Oscar and Celis, Alejandro and Knecht, Marc},
abstractNote = {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 HiggsElectroweak 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 Higgslike 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 oneloop renormalization of the EWCh$\mathcal{L}$ employing the backgroundfield method and the superheatkernel 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.},
doi = {},
journal = {PoS},
number = ,
volume = CD2018,
place = {United States},
year = {2019},
month = {7}
}