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Title: The linear -- non-linear frontier for the Goldstone Higgs

The minimal $SO(5)/SO(4)$ sigma model is used as a template for the ultraviolet completion of scenarios in which the Higgs particle is a low-energy remnant of some high-energy dynamics, enjoying a (pseudo) Nambu-Goldstone boson ancestry. Varying the $$\sigma$$ mass allows to sweep from the perturbative regime to the customary non-linear implementations. The low-energy benchmark effective non-linear Lagrangian for bosons and fermions is obtained, determining as well the operator coefficients including linear corrections. At first order in the latter, three effective bosonic operators emerge which are independent of the explicit soft breaking assumed. The Higgs couplings to vector bosons and fermions turn out to be quite universal: the linear corrections are proportional to the explicit symmetry breaking parameters. Furthermore, we define an effective Yukawa operator which allows a simple parametrization and comparison of different heavy fermion ultraviolet completions. In addition, one particular fermionic completion is explored in detail, obtaining the corresponding leading low-energy fermionic operators.
Authors:
 [1] ;  [2] ;  [3] ;  [4]
  1. Univ. Autonoma de Madrid (Spain). Dept. de Fisica Teorica and Inst. de Fisica Teorica
  2. Univ. degli Studi di Padova INFN (Italy). Dipartimento di Fisica e Astronomia
  3. Univ. Autonoma de Madrid (Spain). Dept. de Fisica Teorica and Inst. de Fisica Teorica; Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
  4. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Publication Date:
Report Number(s):
DFPD-2016-TH-17; FERMILAB-PUB-16-471-T; FTUAM-16-39; IFT-UAM-CSIC-16-107; arXiv:1610.08083
Journal ID: ISSN 1434-6044; 1494596
Grant/Contract Number:
AC02-07CH11359
Type:
Accepted Manuscript
Journal Name:
European Physical Journal. C, Particles and Fields
Additional Journal Information:
Journal Volume: 76; Journal Issue: 12; Journal ID: ISSN 1434-6044
Publisher:
Springer
Research Org:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI Identifier:
1336411

Gavela, M. B., Kanshin, K., Machado, P. A. N., and Saa, S.. The linear -- non-linear frontier for the Goldstone Higgs. United States: N. p., Web. doi:10.1140/epjc/s10052-016-4541-7.
Gavela, M. B., Kanshin, K., Machado, P. A. N., & Saa, S.. The linear -- non-linear frontier for the Goldstone Higgs. United States. doi:10.1140/epjc/s10052-016-4541-7.
Gavela, M. B., Kanshin, K., Machado, P. A. N., and Saa, S.. 2016. "The linear -- non-linear frontier for the Goldstone Higgs". United States. doi:10.1140/epjc/s10052-016-4541-7. https://www.osti.gov/servlets/purl/1336411.
@article{osti_1336411,
title = {The linear -- non-linear frontier for the Goldstone Higgs},
author = {Gavela, M. B. and Kanshin, K. and Machado, P. A. N. and Saa, S.},
abstractNote = {The minimal $SO(5)/SO(4)$ sigma model is used as a template for the ultraviolet completion of scenarios in which the Higgs particle is a low-energy remnant of some high-energy dynamics, enjoying a (pseudo) Nambu-Goldstone boson ancestry. Varying the $\sigma$ mass allows to sweep from the perturbative regime to the customary non-linear implementations. The low-energy benchmark effective non-linear Lagrangian for bosons and fermions is obtained, determining as well the operator coefficients including linear corrections. At first order in the latter, three effective bosonic operators emerge which are independent of the explicit soft breaking assumed. The Higgs couplings to vector bosons and fermions turn out to be quite universal: the linear corrections are proportional to the explicit symmetry breaking parameters. Furthermore, we define an effective Yukawa operator which allows a simple parametrization and comparison of different heavy fermion ultraviolet completions. In addition, one particular fermionic completion is explored in detail, obtaining the corresponding leading low-energy fermionic operators.},
doi = {10.1140/epjc/s10052-016-4541-7},
journal = {European Physical Journal. C, Particles and Fields},
number = 12,
volume = 76,
place = {United States},
year = {2016},
month = {12}
}