Abstract
In many particle physics models, domain walls can form during the phase transition process after the breakdown of the discrete symmetry. Utilizing the ℤ3 symmetric complex singlet scalar extension of the Standard Model, we study the gravitational waves produced by the strongly first-order electroweak phase transition and the domain wall decay. The gravitational wave spectrum is of a typical two-peak shape. The high frequency peak corresponding to the strongly first-order electroweak phase transition is able to be probed by the future space-based interferometers, and the low frequency peak coming from the domain wall decay is far beyond the capability of the current Pulsar Timing Arrays, and future Square Kilometer Array.
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LIGO Scientific, Virgo collaboration, Observation of gravitational waves from a binary black hole merger, Phys. Rev. Lett.116 (2016) 061102 [arXiv:1602.03837] [INSPIRE].
LISA collaboration, Laser Interferometer Space Antenna, arXiv:1702.00786 [INSPIRE].
D.E. Morrissey and M.J. Ramsey-Musolf, Electroweak baryogenesis, New J. Phys.14 (2012) 125003 [arXiv:1206.2942].
C. Caprini et al., Detecting gravitational waves from cosmological phase transitions with LISA: an update, JCAP03 (2020) 024 [arXiv:1910.13125] [INSPIRE].
M. D’Onofrio, K. Rummukainen and A. Tranberg, Sphaleron rate in the minimal standard model, Phys. Rev. Lett.113 (2014) 141602 [arXiv:1404.3565] [INSPIRE].
A. Mazumdar and G. White, Review of cosmic phase transitions: their significance and experimental signatures, Rept. Prog. Phys.82 (2019) 076901 [arXiv:1811.01948] [INSPIRE].
N. Arkani-Hamed, T. Han, M. Mangano and L.-T. Wang, Physics opportunities of a 100 TeV proton-proton collider, Phys. Rept.652 (2016) 1 [arXiv:1511.06495] [INSPIRE].
N. Chen, T. Li, Y. Wu and L. Bian, Discriminate the discrete symmetry through the future e+e−colliders and gravitational waves, arXiv:1911.05579 [INSPIRE].
A. Alves et al., Di-Higgs production in the 4b channel and gravitational wave complementarity, JHEP03 (2020) 053 [arXiv:1909.05268] [INSPIRE].
K. Hashino et al., Selecting models of first-order phase transitions using the synergy between collider and gravitational-wave experiments, Phys. Rev.D 99 (2019) 075011 [arXiv:1809.04994] [INSPIRE].
K. Hashino, M. Kakizaki, S. Kanemura and T. Matsui, Synergy between measurements of gravitational waves and the triple-Higgs coupling in probing the first-order electroweak phase transition, Phys. Rev.D 94 (2016) 015005 [arXiv:1604.02069] [INSPIRE].
L. Bian, H.-K. Guo, Y. Wu and R. Zhou, Gravitational wave and collider searches for electroweak symmetry breaking patterns, Phys. Rev.D 101 (2020) 035011 [arXiv:1906.11664] [INSPIRE].
A. Alves et al., Collider and gravitational wave complementarity in exploring the singlet extension of the standard model, JHEP04 (2019) 052 [arXiv:1812.09333] [INSPIRE].
T.W.B. Kibble, Topology of cosmic domains and strings, J. Phys.A 9 (1976) 1387 [INSPIRE].
A. Vilenkin, Gravitational field of vacuum domain walls and strings, Phys. Rev.D 23 (1981) 852 [INSPIRE].
G.B. Gelmini, M. Gleiser and E.W. Kolb, Cosmology of biased discrete symmetry breaking, Phys. Rev.D 39 (1989) 1558 [INSPIRE].
S.E. Larsson, S. Sarkar and P.L. White, Evading the cosmological domain wall problem, Phys. Rev.D 55 (1997) 5129 [hep-ph/9608319] [INSPIRE].
D.J.H. Chung, A.J. Long and L.-T. Wang, 125 GeV Higgs boson and electroweak phase transition model classes, Phys. Rev.D 87 (2013) 023509 [arXiv:1209.1819] [INSPIRE].
E. Ma, Z3dark matter and two-loop neutrino mass, Phys. Lett.B 662 (2008) 49 [arXiv:0708.3371] [INSPIRE].
G. Bélanger, K. Kannike, A. Pukhov and M. Raidal, Z3scalar singlet dark matter, JCAP01 (2013) 022 [arXiv:1211.1014] [INSPIRE].
Y. Cai and A. Spray, Low-temperature enhancement of semi-annihilation and the AMS-02 positron anomaly, JHEP10 (2018) 075 [arXiv:1807.00832] [INSPIRE].
G. Arcadi, F.S. Queiroz and C. Siqueira, The semi-Hooperon: gamma-ray and anti-proton excesses in the Galactic Center, Phys. Lett.B 775 (2017) 196 [arXiv:1706.02336] [INSPIRE].
A. Hektor, A. Hryczuk and K. Kannike, Improved bounds on ℤ3singlet dark matter, JHEP03 (2019) 204 [arXiv:1901.08074] [INSPIRE].
Z. Kang, P. Ko and T. Matsui, Strong first order EWPT & strong gravitational waves in Z3-symmetric singlet scalar extension, JHEP02 (2018) 115 [arXiv:1706.09721] [INSPIRE].
K. Kannike, K. Loos and M. Raidal, Gravitational wave signals of pseudo-Goldstone dark matter in the Z3complex singlet model, Phys. Rev.D 101 (2020) 035001 [arXiv:1907.13136] [INSPIRE].
C.-W. Chiang and B.-Q. Lu, First-order electroweak phase transition in a complex singlet model with Z3symmetry, arXiv:1912.12634 [INSPIRE].
P.S.B. Dev, F. Ferrer, Y. Zhang and Y. Zhang, Gravitational waves from first-order phase transition in a simple axion-like particle model, JCAP11 (2019) 006 [arXiv:1905.00891] [INSPIRE].
G. Desvignes et al., High-precision timing of 42 millisecond pulsars with the European Pulsar Timing Array, Mon. Not. Roy. Astron. Soc.458 (2016) 3341 [arXiv:1602.08511] [INSPIRE].
G. Hobbs, The parkes pulsar timing array, Class. Quant. Grav.30 (2013) 224007 [arXiv:1307.2629] [INSPIRE].
J.P.W. Verbiest et al., The international pulsar timing array: first data release, Mon. Not. Roy. Astron. Soc.458 (2016) 1267 [arXiv:1602.03640] [INSPIRE].
G. Janssen et al., Gravitational wave astronomy with the SKA, PoS(AASKA14)037 [arXiv:1501.00127] [INSPIRE].
R. Zhou, W. Cheng, X. Deng, L. Bian and Y. Wu, Electroweak phase transition and Higgs phenomenology in the Georgi-Machacek model, JHEP01 (2019) 216 [arXiv:1812.06217] [INSPIRE].
L. Bian, Y. Wu and K.-P. Xie, Electroweak phase transition with composite Higgs models: calculability, gravitational waves and collider searches, JHEP12 (2019) 028 [arXiv:1909.02014] [INSPIRE].
L. Bian and X. Liu, Two-step strongly first-order electroweak phase transition modified FIMP dark matter, gravitational wave signals and the neutrino mass, Phys. Rev.D 99 (2019) 055003 [arXiv:1811.03279] [INSPIRE].
L. Bian and Y.-L. Tang, Thermally modified sterile neutrino portal dark matter and gravitational waves from phase transition: The Freeze-in case, JHEP12 (2018) 006 [arXiv:1810.03172] [INSPIRE].
W. Chao, H.-K. Guo and J. Shu, Gravitational wave signals of electroweak phase transition triggered by dark matter, JCAP09 (2017) 009 [arXiv:1702.02698] [INSPIRE].
S. Profumo, M.J. Ramsey-Musolf, C.L. Wainwright and P. Winslow, Singlet-catalyzed electroweak phase transitions and precision Higgs boson studies, Phys. Rev.D 91 (2015) 035018 [arXiv:1407.5342] [INSPIRE].
S.R. Coleman and E.J. Weinberg, Radiative corrections as the origin of spontaneous symmetry breaking, Phys. Rev.D 7 (1973) 1888 [INSPIRE].
M. Quirós, Finite temperature field theory and phase transitions, hep-ph/9901312 [INSPIRE].
C.L. Wainwright, CosmoTransitions: computing cosmological phase transition temperatures and bubble profiles with multiple fields, Comput. Phys. Commun.183 (2012) 2006 [arXiv:1109.4189] [INSPIRE].
A. Ilnicka, T. Robens and T. Stefaniak, Constraining extended scalar sectors at the LHC and beyond, Mod. Phys. Lett.A 33 (2018) 1830007 [arXiv:1803.03594].
H.H. Patel and M.J. Ramsey-Musolf, Baryon washout, electroweak phase transition and perturbation theory, JHEP07 (2011) 029 [arXiv:1101.4665] [INSPIRE].
R. Zhou and L. Bian, Baryon asymmetry and detectable gravitational waves from electroweak phase transition, arXiv:2001.01237 [INSPIRE].
R. Zhou, L. Bian and H.-K. Guo, Probing the electroweak sphaleron with gravitational waves, arXiv:1910.00234 [INSPIRE].
X. Gan, A.J. Long and L.-T. Wang, Electroweak sphaleron with dimension-six operators, Phys. Rev.D 96 (2017) 115018 [arXiv:1708.03061] [INSPIRE].
M. Dine, P. Huet and R.L. Singleton, Jr., Baryogenesis at the electroweak scale, Nucl. Phys.B 375 (1992) 625 [INSPIRE].
I. Affleck, Quantum statistical metastability, Phys. Rev. Lett.46 (1981) 388 [INSPIRE].
A.D. Linde, Decay of the false vacuum at finite temperature, Nucl. Phys.B 216 (1983) 421 [Erratum ibid.B 223 (1983) 544] [INSPIRE].
A.D. Linde, Fate of the false vacuum at finite temperature: theory and applications, Phys. Lett.B 100 (1981) 37.
C. Caprini et al., Science with the space-based interferometer eLISA. Part II. Gravitational waves from cosmological phase transitions, JCAP04 (2016) 001 [arXiv:1512.06239] [INSPIRE].
P.J. Steinhardt, Relativistic detonation waves and bubble growth in false vacuum decay, Phys. Rev.D 25 (1982) 2074 [INSPIRE].
M. Hindmarsh, S.J. Huber, K. Rummukainen and D.J. Weir, Gravitational waves from the sound of a first order phase transition, Phys. Rev. Lett.112 (2014) 041301 [arXiv:1304.2433] [INSPIRE].
M. Hindmarsh, S.J. Huber, K. Rummukainen and D.J. Weir, Numerical simulations of acoustically generated gravitational waves at a first order phase transition, Phys. Rev.D 92 (2015) 123009 [arXiv:1504.03291] [INSPIRE].
J.R. Espinosa, T. Konstandin, J.M. No and G. Servant, Energy budget of cosmological first-order phase transitions, JCAP06 (2010) 028 [arXiv:1004.4187] [INSPIRE].
C. Caprini, R. Durrer and G. Servant, The stochastic gravitational wave background from turbulence and magnetic fields generated by a first-order phase transition, JCAP12 (2009) 024 [arXiv:0909.0622] [INSPIRE].
A. Vilenkin and E.P.S. Shellard, Cosmic strings and other topological defects, Cambridge University PRess, Cambridge U.K. (2000).
H. Hattori, T. Kobayashi, N. Omoto and O. Seto, Entropy production by domain wall decay in the NMSSM, Phys. Rev.D 92 (2015) 103518 [arXiv:1510.03595] [INSPIRE].
T. Hiramatsu, M. Kawasaki and K. Saikawa, On the estimation of gravitational wave spectrum from cosmic domain walls, JCAP02 (2014) 031 [arXiv:1309.5001] [INSPIRE].
K. Kadota, M. Kawasaki and K. Saikawa, Gravitational waves from domain walls in the next-to-minimal supersymmetric standard model, JCAP10 (2015) 041 [arXiv:1503.06998] [INSPIRE].
M. Kawasaki, K. Kohri and T. Moroi, Hadronic decay of late-decaying particles and Big-Bang nucleosynthesis, Phys. Lett.B 625 (2005) 7 [astro-ph/0402490] [INSPIRE].
M. Kawasaki, K. Kohri and T. Moroi, Big-Bang nucleosynthesis and hadronic decay of long-lived massive particles, Phys. Rev.D 71 (2005) 083502 [astro-ph/0408426] [INSPIRE].
K. Saikawa, A review of gravitational waves from cosmic domain walls, Universe3 (2017) 40 [arXiv:1703.02576] [INSPIRE].
A. Klein et al., Science with the space-based interferometer eLISA: Supermassive black hole binaries, Phys. Rev.D 93 (2016) 024003 [arXiv:1511.05581] [INSPIRE].
V. Corbin and N.J. Cornish, Detecting the cosmic gravitational wave background with the big bang observer, Class. Quant. Grav.23 (2006) 2435 [gr-qc/0512039] [INSPIRE].
H. Kudoh, A. Taruya, T. Hiramatsu and Y. Himemoto, Detecting a gravitational-wave background with next-generation space interferometers, Phys. Rev.D 73 (2006) 064006 [gr-qc/0511145] [INSPIRE].
DECIGO working group], Space gravitational wave detector DECIGO/pre-DECIGO, Proc. SPIE10562 (2017) 105623T.
TianQin collaboration, TianQin: a space-borne gravitational wave detector, Class. Quant. Grav.33 (2016) 035010 [arXiv:1512.02076] [INSPIRE].
X. Gong et al., Descope of the ALIA mission, J. Phys. Conf. Ser.610 (2015) 012011 [arXiv:1410.7296] [INSPIRE].
N.S. Manton, Topology in the Weinberg-Salam theory, Phys. Rev.D 28 (1983) 2019 [INSPIRE].
F.R. Klinkhamer and N.S. Manton, A saddle point solution in the Weinberg-Salam theory, Phys. Rev.D 30 (1984) 2212 [INSPIRE].
M.E.R. James, The sphaleron at nonzero Weinberg angle, Z. Phys.C 55 (1992) 515 [INSPIRE].
F.R. Klinkhamer and R. Laterveer, The sphaleron at finite mixing angle, Z. Phys.C 53 (1992) 247 [INSPIRE].
A. Alves, T. Ghosh, H.-K. Guo and K. Sinha, Resonant di-Higgs production at gravitational wave benchmarks: a collider study using machine learning, JHEP12 (2018) 070 [arXiv:1808.08974] [INSPIRE].
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Zhou, R., Yang, J. & Bian, L. Gravitational waves from first-order phase transition and domain wall. J. High Energ. Phys. 2020, 71 (2020). https://doi.org/10.1007/JHEP04(2020)071
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DOI: https://doi.org/10.1007/JHEP04(2020)071