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Title: Complete One-Loop Renormalization of the Higgs-Electroweak 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 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.

Authors:
ORCiD logo [1];  [2]; ORCiD logo [3];  [2]; ORCiD logo [4]
  1. Fermilab
  2. Munich U.
  3. Siegen U.
  4. 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) (SC-25)
OSTI Identifier:
1546005
Report Number(s):
arXiv:1907.07605; FERMILAB-CONF-19-066-T
1744312
DOE Contract Number:  
AC02-07CH11359
Resource Type:
Conference
Journal Name:
PoS
Additional Journal Information:
Journal Volume: CD2018; Conference: 9th International Workshop on Chiral Dynamics, Durham, NC, USA, 09/17-09/21/2018
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 One-Loop Renormalization of the Higgs-Electroweak Chiral Lagrangian. United States: N. p., 2019. Web.
Krause, Claudius, Buchalla, Gerhard, Cata, Oscar, Celis, Alejandro, & Knecht, Marc. Complete One-Loop Renormalization of the Higgs-Electroweak Chiral Lagrangian. United States.
Krause, Claudius, Buchalla, Gerhard, Cata, Oscar, Celis, Alejandro, and Knecht, Marc. Wed . "Complete One-Loop Renormalization of the Higgs-Electroweak Chiral Lagrangian". United States. https://www.osti.gov/servlets/purl/1546005.
@article{osti_1546005,
title = {Complete One-Loop Renormalization of the Higgs-Electroweak 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 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.},
doi = {},
journal = {PoS},
number = ,
volume = CD2018,
place = {United States},
year = {2019},
month = {7}
}

Conference:
Other availability
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