The linear  nonlinear 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 lowenergy remnant of some highenergy dynamics, enjoying a (pseudo) NambuGoldstone boson ancestry. Varying the $$\sigma$$ mass allows to sweep from the perturbative regime to the customary nonlinear implementations. The lowenergy benchmark effective nonlinear 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 lowenergy fermionic operators.
 Authors:

^{[1]};
^{[2]};
^{[3]};
^{[4]}
 Univ. Autonoma de Madrid (Spain). Dept. de Fisica Teorica and Inst. de Fisica Teorica
 Univ. degli Studi di Padova INFN (Italy). Dipartimento di Fisica e Astronomia
 Univ. Autonoma de Madrid (Spain). Dept. de Fisica Teorica and Inst. de Fisica Teorica; Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
 Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
 Publication Date:
 Report Number(s):
 DFPD2016TH17; FERMILABPUB16471T; FTUAM1639; IFTUAMCSIC16107; arXiv:1610.08083
Journal ID: ISSN 14346044; 1494596
 Grant/Contract Number:
 AC0207CH11359
 Type:
 Accepted Manuscript
 Journal Name:
 European Physical Journal. C, Particles and Fields
 Additional Journal Information:
 Journal Volume: 76; Journal Issue: 12; Journal ID: ISSN 14346044
 Publisher:
 Springer
 Research Org:
 Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 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  nonlinear frontier for the Goldstone Higgs. United States: N. p.,
Web. doi:10.1140/epjc/s1005201645417.
Gavela, M. B., Kanshin, K., Machado, P. A. N., & Saa, S.. The linear  nonlinear frontier for the Goldstone Higgs. United States. doi:10.1140/epjc/s1005201645417.
Gavela, M. B., Kanshin, K., Machado, P. A. N., and Saa, S.. 2016.
"The linear  nonlinear frontier for the Goldstone Higgs". United States.
doi:10.1140/epjc/s1005201645417. https://www.osti.gov/servlets/purl/1336411.
@article{osti_1336411,
title = {The linear  nonlinear 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 lowenergy remnant of some highenergy dynamics, enjoying a (pseudo) NambuGoldstone boson ancestry. Varying the $\sigma$ mass allows to sweep from the perturbative regime to the customary nonlinear implementations. The lowenergy benchmark effective nonlinear 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 lowenergy fermionic operators.},
doi = {10.1140/epjc/s1005201645417},
journal = {European Physical Journal. C, Particles and Fields},
number = 12,
volume = 76,
place = {United States},
year = {2016},
month = {12}
}