Built on

L. Di Luzio, M. Redi, A. Strumia and D. Teresi, Coset Cosmology , JHEP 06
Original
1902
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S. R. Coleman and E. J. Weinberg, Radiative Corrections as the Origin of Spontaneous Symmetry Breaking , Phys. Rev. D 7
1910
Earlier work this paper cites.
Y. Nambu, Quasiparticles and Gauge Invariance in the Theory of Superconductivity , Phys. Rev. 117
1960
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J. Goldstone, Field Theories with Superconductor Solutions , Nuovo Cim. 19
1961
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S. R. Coleman, J. Wess and B. Zumino, Structure of phenomenological Lagrangians. 1. , Phys. Rev. 177
1969
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C. G. Callan, Jr., S. R. Coleman, J. Wess and B. Zumino, Structure of phenomenological Lagrangians. 2. , Phys. Rev. 177
1969
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E. Brézin, J. Zinn-Justin and J. C. Le Guillou, Renormalization of the nonlinear σ \sigma model in 2 + ϵ 2+\epsilon dimensions , Phys. Rev. D 14
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K. G. Chetyrkin, A. L. Kataev and F. V. Tkachov, New Approach to Evaluation of Multiloop Feynman Integrals: The Gegenbauer Polynomial x Space Technique , Nucl. Phys. B 174
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Earlier work this paper cites.

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2011
Cited alongside, same era.

Then

Springer, 2016, 10.1007/978-3-319-22617-0
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Later among the works it cites.
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Later among the works it cites.
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Later among the works it cites.
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Later among the works it cites.
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2021

Gegenbauer Goldstones

Durieux, Gauthier, McCullough, Matthew, Salvioni, Ennio

Understand

We investigate radiatively stable classes of pseudo-Nambu-Goldstone boson (pNGB) potentials for approximate spontaneously broken $\mathrm{SO}(N+1)\to\mathrm{SO}(N)$.

Using both the one-loop effective action and symmetry, it is shown that a Gegenbauer polynomial potential is radiatively stable, being effectively an `eigenfunction' from a radiative perspective.
In Gegenbauer pNGB models, one naturally and automatically obtains $v \propto f/n$, where $n\in 2\mathbb{Z}$ is the order of the Gegenbauer polynomial.
For a Gegenbauer Higgs boson, this breaks the usual correlation between Higgs coupling corrections and `$v/f$' tuning.

Built on

L. Di Luzio, M. Redi, A. Strumia and D. Teresi, Coset Cosmology , JHEP 06
Original
1902
Earlier work this paper cites.
S. R. Coleman and E. J. Weinberg, Radiative Corrections as the Origin of Spontaneous Symmetry Breaking , Phys. Rev. D 7
1910
Earlier work this paper cites.
Y. Nambu, Quasiparticles and Gauge Invariance in the Theory of Superconductivity , Phys. Rev. 117
1960
Earlier work this paper cites.
J. Goldstone, Field Theories with Superconductor Solutions , Nuovo Cim. 19
1961
Earlier work this paper cites.
S. R. Coleman, J. Wess and B. Zumino, Structure of phenomenological Lagrangians. 1. , Phys. Rev. 177
1969
Earlier work this paper cites.
C. G. Callan, Jr., S. R. Coleman, J. Wess and B. Zumino, Structure of phenomenological Lagrangians. 2. , Phys. Rev. 177
1969
Earlier work this paper cites.
E. Brézin, J. Zinn-Justin and J. C. Le Guillou, Renormalization of the nonlinear σ \sigma model in 2 + ϵ 2+\epsilon dimensions , Phys. Rev. D 14
1976
Earlier work this paper cites.
K. G. Chetyrkin, A. L. Kataev and F. V. Tkachov, New Approach to Evaluation of Multiloop Feynman Integrals: The Gegenbauer Polynomial x Space Technique , Nucl. Phys. B 174
1980
Earlier work this paper cites.

Similar

D. I. Kazakov and A. V. Kotikov, The Method of Uniqueness: Multiloop Calculations in QCD , Teor. Mat. Fiz. 73
1987
Cited alongside, same era.
K. Agashe, R. Contino and A. Pomarol, The Minimal Composite Higgs model , Nucl. Phys. B 719
2005
Cited alongside, same era.
Z. Chacko, H.-S. Goh and R. Harnik, The Twin Higgs: Natural electroweak breaking from mirror symmetry , Phys. Rev. Lett. 96
2006
Cited alongside, same era.
R. Contino, L. Da Rold and A. Pomarol, Light custodians in natural composite Higgs models , Phys. Rev. D 75
2007
Cited alongside, same era.
R. Contino, The Higgs as a Composite Nambu-Goldstone Boson , in Theoretical Advanced Study Institute in Elementary Particle Physics: Physics of the Large and the Small , pp. 235–306, 2011, 1005.4269 , DOI
Original
2011
Cited alongside, same era.

Then

Springer, 2016, 10.1007/978-3-319-22617-0
G. Panico and A. Wulzer, The Composite Nambu-Goldstone Higgs , vol. 913 · 2016
Later among the works it cites.
R. Alonso, E. E. Jenkins and A. V. Manohar, A Geometric Formulation of Higgs Effective Field Theory: Measuring the Curvature of Scalar Field Space , Phys. Lett. B 754
Original
2016
Later among the works it cites.
R. Harnik, K. Howe and J. Kearney, Tadpole-Induced Electroweak Symmetry Breaking and pNGB Higgs Models , JHEP 03
Original
2017
Later among the works it cites.
J. Galloway, A. L. Kagan and A. Martin, A UV complete partially composite-pNGB Higgs , Phys. Rev. D 95
Original
2017
Later among the works it cites.
C. Csáki, T. Ma and J. Shu, Maximally Symmetric Composite Higgs Models , Phys. Rev. Lett. 119
Original

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