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2014

The decoupling limit in the Georgi-Machacek model

Hartling, Katy, Kumar, Kunal, Logan, Heather E.

Understand

We study the most general scalar potential of the Georgi-Machacek model, which adds isospin-triplet scalars to the Standard Model (SM) in a way that preserves custodial SU(2) symmetry.

We show that this model possesses a decoupling limit, in which the predominantly-triplet states become heavy and degenerate while the couplings of the remaining light neutral scalar approach those of the SM Higgs boson.
We find that the SM-like Higgs boson couplings to fermion pairs and gauge boson pairs can deviate from their SM values by corrections as large as $\mathcal{O}(v^2/M_{\rm new}^2)$, where $v$ is the SM Higgs vacuum expectation value and $M_{\rm new}$ is the mass scale of the predominantly-triplet states.
In particular, the SM-like Higgs boson couplings to $W$ and $Z$ boson pairs can decouple much more slowly than in two Higgs doublet models, in which they deviate from their SM values like $\mathcal{O}(v^4/M_{\rm new}^4)$.

Built on

A. Arhrib, R. Benbrik, M. Chabab, G. Moultaka, M. C. Peyranere, L. Rahili and J. Ramadan, Phys. Rev. D 84
Original
1925
Earlier work this paper cites.
P. Galison, Nucl. Phys. B 232
1984
Earlier work this paper cites.
H. Georgi and M. Machacek, Nucl. Phys. B 262
1985
Earlier work this paper cites.
M. S. Chanowitz and M. Golden, Phys. Lett. B 165
1985
Earlier work this paper cites.
J. F. Gunion, R. Vega and J. Wudka, Phys. Rev. D 42
1990
Earlier work this paper cites.
V. D. Barger, J. L. Hewett and R. J. N. Phillips, Phys. Rev. D 41
1990
Earlier work this paper cites.
J. F. Gunion, R. Vega and J. Wudka, Phys. Rev. D 43
1991
Earlier work this paper cites.
H. E. Haber, in Physics from the Planck Scale to the Electroweak Scale , Proceedings of the U.S.-Polish Workshop, Warsaw, Poland, 1994, edited by P. Nath, T. Taylor, and S. Pokorski (World Scientific, Singapore, 1995), pp. 49–63 [hep-ph/9501320]
1995
Earlier work this paper cites.
J. F. Gunion, H. E. Haber, G. L. Kane, and S. Dawson, The Higgs Hunter’s Guide
2000
Earlier work this paper cites.
H. E. Haber and H. E. Logan, Phys. Rev. D 62
2000
Earlier work this paper cites.
S. Chang, JHEP 0312
2003
Earlier work this paper cites.

Similar

J. F. Gunion and H. E. Haber, Phys. Rev. D 67
2003
Cited alongside, same era.
S. Chang and J. G. Wacker, Phys. Rev. D 69
2004
Cited alongside, same era.
N. G. Deshpande and E. Ma, Phys. Rev. D 18
Original
2007
Cited alongside, same era.
S. Godfrey and K. Moats, Phys. Rev. D 81
Original
2010
Cited alongside, same era.
H. E. Logan and M.-A. Roy, Phys. Rev. D 82
Original
2010
Cited alongside, same era.
G. Aad et al
Original