Physics Letters B 788 (2019) 288–294
Contents lists available at ScienceDirect
Physics Letters B
www.elsevier.com/locate/physletb
Probing the gauge symmetry breaking of the early universe in 3-3-1
models and beyond by gravitational waves
Fa Peng Huang
a,b,∗
, Xinmin Zhang
a,b
a
Theoretical Physics Division, Institute of High Energy Physics, Chinese Academy of Sciences, P.O. Box 918-4, Beijing 100049, China
b
School of Physics Sciences, University of Chinese Academy of Sciences, Beijing 100039, China
a r t i c l e i n f o a b s t r a c t
Article history:
Received
9 October 2018
Received
in revised form 5 November 2018
Accepted
15 November 2018
Available
online 19 November 2018
Editor:
G.F. Giudice
Taking the 3-3-1 models (with SU(3)
c
⊗ SU(3)
L
⊗ U (1)
Y
gauge group) as examples, we study that a
class of new physics models with extended gauge group could undergo one or several first-order phase
transitions associated with the spontaneously symmetry breaking processes during the evolution of the
universe, which can produce detectable phase transition gravitational wave (GW) signals at future GW
experiments, such as LISA, BBO, DECIGO, SKA and aLIGO. These GW signals can provide new sources of
GWs with different peak frequencies, and can be used to probe the evolution history of the universe.
© 2018 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license
(http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP
3
.
1. Introduction
The observation of gravitational waves (GWs) by Advanced
Laser Interferometer Gravitational Wave Observatory (aLIGO) [1]
has
initiated a new era of exploring the cosmology, the nature
of gravity as well as the fundamental particle physics by the GW
detectors [2–9]. Especially, due to the limitation of the colliders’
energy, GW detectors can be used as new or complementary tech-
niques
to probe the existence of the new physics (NP) by detecting
the symmetry breaking patterns or phase transition history for
large classes of NP models with an extended gauge group, which
are motivated by the mysterious experimental results in our under-
standing
of particle cosmology (such as the dark matter problem or
the puzzling observed baryon asymmetry of the universe), and the
absence of NP signals at current collider experiments. The increas-
ingly
attractive NP models with an extended gauge group have
many new particles without leaving obvious observable imprints
at current particle colliders. However, the GW experiments may
provide a possible approach to test their existence. For example,
to explain the baryon asymmetry of the universe via electroweak
(EW) baryogenesis, a strong first-order phase transition (FOPT) is
needed to realize the departure from thermal equilibrium by ex-
tensions
of the standard model (SM) [10–12]. And during the FOPT,
detectable GWs will be produced through three mechanisms: col-
lisions
of expanding bubbles, sounds waves, and magnetohydro-
dynamic
turbulence of bubbles in the hot plasma [13–20]. Phase
*
Corresponding author.
E-mail
address: huangfp@ibs.re.kr (F.P. Huang).
transitions in particle physics and cosmology are usually associ-
ated
with the symmetry breaking, i.e. where the universe transits
from a symmetric phase to a symmetry broken phase when the
temperature drops below the corresponding critical temperature.
For
the first time, we have a realistic chance to explore NP
with gauge symmetry breaking processes through phase transi-
tion
GW signals after the discovery of the GWs by aLIGO, which
is particularly exciting. In this paper, we study the possibility to
probe the gauge symmetry breaking patterns and the phase tran-
sition
history of the early universe by the phase transition GW
signals. In particular, we focalize our analysis to GW detection of
the NP models with an extended non-Abelian gauge group, where
the symmetry breaking at each energy scale may associate with
a FOPT, as shown in Fig. 1. The group G
Hidden
can spontaneously
break into the SM gauge group via one or several steps and strong
FOPT can take place in each step, which can produce detectable
phase transition GWs. For example, the gauge group G
Hidden
can
be the non-Abelian gauge group SU(3)
c
⊗ SU(3)
L
⊗ U (1)
Y
, which
is called 3-3-1 model [21,22]. We show that many versions of
the 3-3-1 model can produce at least one strong FOPT at TeV
scale in some parameter spaces, which can produce detectable
GW spectrum by the recently proved Laser Interferometer Space
Antenna (LISA) [23,24], Big Bang Observer (BBO) [25], Deci-hertz
Interferometer Gravitational wave Observatory (DECIGO) [26,27],
and Ultimate-DECIGO [28]. In general, there can exist several spon-
taneous
symmetry breaking processes in NP models, which may
also accompany several FOPTs with the evolution of the universe
as shown in Fig. 1. If the scale of the FOPT associated with the
symmetry breaking is about 10
7
–10
8
GeV, the phase transition
GW spectrum may be within the sensitivity of future aLIGO. If the
https://doi.org/10.1016/j.physletb.2018.11.024
0370-2693/
© 2018 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by
SCOAP
3
.