Left-Right Symmetry Breaking and Gravitational Waves : A Tale of Two Phase Transitions
Abstract: We study possible ways gravitational waves (GW) are sourced in a theory with minimal left-right symmetry breaking. Generically first order phase transitions (FOPT) lead to gravitational waves sourced by bubble dynamics, while second order phase transitions (SOPT) do not. However, due the presence of two degenerate fields, we obtain domain walls in the putative SOPT case, giving rise to GW via disintegrating domain walls, testable at experiments such as IPTA, DECIGO, and LISA. On the other hand, for the case of FOPT, we get the usual signal from spontaneously created bubbles, but there also arises a late forming domain wall structure separating the two types of vacua. The disintegration of these walls provides an additional source of GW. Thus the parameter range signalling FOPT case gives rise to two distinct peaks in the spectrum of GW. This is verifiable for the low symmetry breaking scales $104 - 106$ GeV, but a high scale such as $\sim10{10}$ GeV remains beyond the reach of currently planned experiments. Finally, we point out that a version of the left-right symmetric model which separates the scale of parity breaking from that of gauge symmetry breaking is also subject to domain wall formation and amenable to GW observations.
- B. P. Abbott and et. al., Observation of Gravitational Waves from a Binary Black Hole Merger, Phys. Rev. Lett. 116, 61102 (2016).
- A. Einstein, Näherungsweise Integration der Feldgleichungen der Gravitation, Sitzungsberichte der Königlich Preußischen Akademie der Wissenschaften (Berlin , 688 (1916).
- C. Caprini and D. G. Figueroa, Cosmological backgrounds of gravitational waves, Classical and Quantum Gravity 35, 163001 (2018).
- B. P. Abbott and et. al., Exploring the sensitivity of next generation gravitational wave detectors, Classical and Quantum Gravity 34, 044001 (2017).
- P. R. Saulson, Fundamentals of Interferometric Gravitational Wave Detectors, 2nd ed. (World Scientific, 2017).
- A. N. Lommen, Pulsar timing arrays: the promise of gravitational wave detection, Reports on Progress in Physics 78, 124901 (2015).
- D. Chang, R. N. Mohapatra, and M. K. Parida, Decoupling of Parity- and SU ( 2 ) R -Breaking Scales: A New Approach to Left-Right Symmetric Models, Physical Review Letters 52, 1072 (1984a).
- D. Chang, R. N. Mohapatra, and M. K. Parida, New approach to left-right-symmetry breaking in unified gauge theories, Physical Review D 30, 1052 (1984b).
- K. S. Babu and A. Patra, Higgs boson spectra in supersymmetric left-right models, Physical Review D 93, 055030 (2016).
- R. N. Mohapatra and J. C. Pati, "Natural" left-right symmetry, Physical Review D 11, 2558 (1975a).
- G. Senjanovic and R. N. Mohapatra, Exact left-right symmetry and spontaneous violation of parity, Physical Review D 12, 1502 (1975a).
- G. C. Branco and L. Lavoura, Natural CP breaking in left-right symmetric theories, Physics Letters B 165, 327 (1985).
- K. Kiers, M. Assis, and A. A. Petrov, Higgs sector of the left-right model with explicit C P violation, Physical Review D 71, 115015 (2005).
- J. Chakrabortty, P. Konar, and T. Mondal, Copositive criteria and boundedness of the scalar potential, Physical Review D 89, 095008 (2014).
- B. Brahmachari, M. K. Samal, and U. Sarkar, Potential Minimization in Left-Right Symmetric Models 10.48550/arxiv.hep-ph/9402323 (1994).
- H. Fritzsch and P. Minkowski, Unified interactions of leptons and hadrons, Annals of Physics 93, 193 (1975).
- H. Georgi, The state of the art—gauge theories, in AIP Conference Proceedings, Vol. 23 (American Institute of Physics, 1975) pp. 575–582.
- F. F. Deppisch, T. E. Gonzalo, and L. Graf, Surveying the SO(10) model landscape: The left-right symmetric case, Physical Review D 96, 055003 (2017).
- N. T. Shaban and W. J. Stirling, Minimal left-right symmetry and SO(10) grand unification using LEP coupling constant measurements, Physics Letters B 291, 281 (1992).
- C.-Y. Chen, P. S. B. Dev, and R. N. Mohapatra, Probing heavy-light neutrino mixing in left-right seesaw models at the LHC, Physical Review D 88, 033014 (2013).
- S. Patra, F. S. Queiroz, and W. Rodejohann, Stringent dilepton bounds on left-right models using LHC data, Physics Letters B 752, 186 (2016).
- P. S. Dev, D. Kim, and R. N. Mohapatra, Disambiguating seesaw models using invariant mass variables at hadron colliders, Journal of High Energy Physics 2016 2016:1 2016, 1 (2016a).
- Y. Rodríguez and C. Quimbay, Spontaneous CP phases and flavour changing neutral currents in the left–right symmetric model, Nuclear Physics B 637, 219 (2002).
- M. Nemevšek, F. Nesti, and G. Popara, Keung-Senjanović process at the LHC: From lepton number violation to displaced vertices to invisible decays, Physical Review D 97, 115018 (2018).
- P. S. Dev, R. N. Mohapatra, and Y. Zhang, Probing the Higgs sector of the minimal Left-Right symmetric model at future hadron colliders, Journal of High Energy Physics 2016 2016:5 2016, 1 (2016b).
- G. B. Gelmini, M. Gleiser, and E. W. Kolb, Cosmology of biased discrete symmetry breaking, Physical Review D 39, 1558 (1989).
- Y. B. Zel’dovich, I. Y. Kobzarev, and L. B. Okun, Cosmological consequences of spontaneous violation of discrete symmetry, Zh. Eksp. Teor. Fiz. 40, 3 (1974).
- B. Rai and G. Senjanović, Gravity and the domain-wall problem, Physical Review D 49, 2729 (1994).
- A. Vilenkin, Gravitational field of vacuum domain walls and strings, Physical Review D 23, 852 (1981).
- A. K. Mohanty and F. W. Stecker, Matter-antimatter domains: A possible solution to the CP domain wall problem in the early universe, Physics Letters B 143, 351 (1984).
- S. Mishra and U. A. Yajnik, Spontaneously broken parity and consistent cosmology with transitory domain walls, Phys. Rev. D 81, 045010 (2010), arXiv:0911.1578 [hep-ph] .
- P. Banerjee and U. A. Yajnik, New ultraviolet operators in supersymmetric SO(10) GUT and consistent cosmology, Phys. Rev. D 101, 075041 (2020), arXiv:1812.11475 [hep-ph] .
- T. W. B. Kibble, Topology of Cosmic Domains and Strings, J. Phys. A 9, 1387 (1976).
- A. Sarkar, Abhishek, and U. A. Yajnik, PeV scale left-right symmetry and baryon asymmetry of the Universe, Nucl. Phys. B 800, 253 (2008), arXiv:0710.5410 [hep-ph] .
- E. Witten, Cosmic separation of phases, Physical Review D 30, 272 (1984).
- C. J. Hogan, Nucleation of cosmological phase transitions, Physics Letters B 133, 172 (1983).
- C. J. Hogan, Gravitational radiation from cosmological phase transitions, Monthly Notices of the Royal Astronomical Society 218, 629 (1986).
- M. S. Turner and F. Wilczek, Relic gravitational waves and extended inflation, Physical Review Letters 65, 3080 (1990).
- M. Kamionkowski, A. Kosowsky, and M. S. Turner, Gravitational radiation from first-order phase transitions, Physical Review D 49, 2837 (1994).
- C. Grojean and G. Servant, Gravitational waves from phase transitions at the electroweak scale and beyond, Physical Review D 75, 043507 (2007).
- J. Ellis, M. Lewicki, and J. M. No, On the maximal strength of a first-order electroweak phase transition and its gravitational wave signal, Journal of Cosmology and Astroparticle Physics 2019 (04), 003.
- D. Borah and A. Dasgupta, Probing left-right symmetry via gravitational waves from domain walls, Phys. Rev. D 106, 035016 (2022), arXiv:2205.12220 [hep-ph] .
- M. Kawasaki and K. Saikawa, Study of gravitational radiation from cosmic domain walls, Journal of Cosmology and Astroparticle Physics 2011 (09), 008.
- T. Hiramatsu, M. Kawasaki, and K. Saikawa, On the estimation of gravitational wave spectrum from cosmic domain walls 10.1088/1475-7516/2014/02/031 (2013a).
- R. N. Mohapatra and J. C. Pati, A Natural Left-Right Symmetry, Phys. Rev. D11, 2558 (1975b). %%CITATION = PHRVA,D11,2558;%%
- J. C. Pati and A. Salam, Lepton Number as the Fourth Color, Phys. Rev. D10, 275 (1974a), [Erratum: Phys. Rev.D11,703(1975)].
- G. Senjanovic and R. N. Mohapatra, Exact Left-Right Symmetry and Spontaneous Violation of Parity, Phys.Rev. D12, 1502 (1975b). %%CITATION = PHRVA,D12,1502;%%
- G. Senjanovic, Spontaneous Breakdown of Parity in a Class of Gauge Theories, Nucl. Phys. B153, 334 (1979).
- R. N. Mohapatra and G. Senjanovic, Neutrino mass and spontaneous parity nonconservation, Phys. Rev. Lett. 44, 912 (1980). %%CITATION = PRLTA,44,912;%%
- R. N. Mohapatra and G. Senjanovic, Neutrino Masses and Mixings in Gauge Models with Spontaneous Parity Violation, Phys. Rev. D23, 165 (1981).
- J. C. Pati and A. Salam, Unified Lepton-Hadron Symmetry and a Gauge Theory of the Basic Interactions, Phys. Rev. D8, 1240 (1973).
- J. C. Pati and A. Salam, Are There Anomalous Lepton-Hadron Interactions?, Phys. Rev. Lett. 32, 1083 (1974b).
- D. A. Kirzhnits and A. D. Linde, Macroscopic Consequences of the Weinberg Model, Phys. Lett. B 42, 471 (1972).
- S. Weinberg, Gauge and Global Symmetries at High Temperature, Phys. Rev. D 9, 3357 (1974).
- L. Dolan and R. Jackiw, Symmetry Behavior at Finite Temperature, Phys. Rev. D 9, 3320 (1974).
- C. L. Wainwright, CosmoTransitions: Computing cosmological phase transition temperatures and bubble profiles with multiple fields, Computer Physics Communications 183, 2006 (2012).
- T. W. B. Kibble, Some Implications of a Cosmological Phase Transition, Phys. Rept. 67, 183 (1980).
- J. W. Essam, Percolation theory, Reports on Progress in Physics 43, 833 (1980).
- D. Borah, Effects of Planck Scale Physics on Neutrino Mixing Parameters in Left-Right Symmetric Models, Phys. Rev. D 87, 095009 (2013), arXiv:1305.1254 [hep-ph] .
- A. Ibarra, P. Strobl, and T. Toma, Neutrino masses from Planck-scale lepton number breaking, Phys. Rev. Lett. 122, 081803 (2019), arXiv:1802.09997 [hep-ph] .
- D. Borah, B. Karmakar, and D. Nanda, Planck scale origin of nonzero θ13subscript𝜃13\theta_{13}italic_θ start_POSTSUBSCRIPT 13 end_POSTSUBSCRIPT and super-WIMP dark matter, Phys. Rev. D 100, 055014 (2019), arXiv:1906.02756 [hep-ph] .
- D. Stauffer, Scaling theory of percolation clusters, Physics Reports 54, 1 (1979a).
- T. Hiramatsu, M. Kawasaki, and K. Saikawa, Gravitational waves from collapsing domain walls, Journal of Cosmology and Astroparticle Physics 2010 (05), 032.
- V. F. Mukhanov, Physical foundations of cosmology (Cambridge university press, 2005).
- W. H. Press, B. S. Ryden, and D. N. Spergel, Dynamical Evolution of Domain Walls in an Expanding Universe, Astrophys. J. 347, 590 (1989).
- D. Coulson, Z. Lalak, and B. A. Ovrut, Biased domain walls, Phys. Rev. D 53, 4237 (1996).
- T. Garagounis and M. Hindmarsh, Scaling in numerical simulations of domain walls, Phys. Rev. D 68, 103506 (2003), arXiv:hep-ph/0212359 .
- J. C. R. E. Oliveira, C. J. A. P. Martins, and P. P. Avelino, The Cosmological evolution of domain wall networks, Phys. Rev. D 71, 083509 (2005), arXiv:hep-ph/0410356 .
- P. P. Avelino, J. C. R. E. Oliveira, and C. J. A. P. Martins, Understanding domain wall network evolution, Phys. Lett. B 610, 1 (2005a), arXiv:hep-th/0503226 .
- S. E. Larsson, S. Sarkar, and P. L. White, Evading the cosmological domain wall problem, Phys. Rev. D 55, 5129 (1997), arXiv:hep-ph/9608319 .
- M. Hindmarsh, Analytic scaling solutions for cosmic domain walls, Phys. Rev. Lett. 77, 4495 (1996), arXiv:hep-ph/9605332 .
- M. Hindmarsh, Level set method for the evolution of defect and brane networks, Phys. Rev. D 68, 043510 (2003), arXiv:hep-ph/0207267 .
- P. P. Avelino, C. J. A. P. Martins, and J. C. R. E. Oliveira, One-scale model for domain wall network evolution, Phys. Rev. D 72, 083506 (2005b), arXiv:hep-ph/0507272 .
- T. Hiramatsu, M. Kawasaki, and K. Saikawa, On the estimation of gravitational wave spectrum from cosmic domain walls, Journal of Cosmology and Astroparticle Physics 2014 (02), 031.
- K. Kadota, M. Kawasaki, and K. Saikawa, Gravitational waves from domain walls in the next-to-minimal supersymmetric standard model, Journal of Cosmology and Astroparticle Physics 2015 (10), 041.
- K. Schmitz, New Sensitivity Curves for Gravitational-Wave Signals from Cosmological Phase Transitions, JHEP 01, 097, arXiv:2002.04615 [hep-ph] .
- M. Maggiore, Gravitational wave experiments and early universe cosmology, Phys. Rept. 331, 283 (2000), arXiv:gr-qc/9909001 .
- B. Allen, The Stochastic gravity wave background: Sources and detection, in Les Houches School of Physics: Astrophysical Sources of Gravitational Radiation (1996) pp. 373–417, arXiv:gr-qc/9604033 .
- B. Allen and J. D. Romano, Detecting a stochastic background of gravitational radiation: Signal processing strategies and sensitivities, Phys. Rev. D 59, 102001 (1999), arXiv:gr-qc/9710117 .
- S. Coleman, Fate of the false vacuum: Semiclassical theory, Physical Review D 15, 2929 (1977).
- M. Lewicki and V. Vaskonen, Gravitational waves from bubble collisions and fluid motion in strongly supercooled phase transitions, Eur. Phys. J. C 83, 109 (2023), arXiv:2208.11697 [astro-ph.CO] .
- J. Ellis, M. Lewicki, and V. Vaskonen, Updated predictions for gravitational waves produced in a strongly supercooled phase transition, JCAP 11, 020, arXiv:2007.15586 [astro-ph.CO] .
- M. Kierkla, A. Karam, and B. Swiezewska, Conformal model for gravitational waves and dark matter: a status update, JHEP 03, 007, arXiv:2210.07075 [astro-ph.CO] .
- A. D. Linde, Decay of the false vacuum at finite temperature, Nuclear Physics B 216, 421 (1983).
- A. H. Guth and E. J. Weinberg, Cosmological consequences of a first-order phase transition in the su5subscriptu5{\mathrm{u}}_{5}roman_u start_POSTSUBSCRIPT 5 end_POSTSUBSCRIPT grand unified model, Phys. Rev. D 23, 876 (1981).
- V. K. S. Shante and S. Kirkpatrick, An introduction to percolation theory, Advances in Physics 20, 325 (1971).
- A. Kosowsky, M. S. Turner, and R. Watkins, Gravitational radiation from colliding vacuum bubbles, Physical Review D 45, 4514 (1992).
- C. Caprini and R. Durrer, Gravitational waves from stochastic relativistic sources: Primordial turbulence and magnetic fields, Physical Review D 74, 063521 (2006).
- M. Lewicki, M. Merchand, and M. Zych, Electroweak bubble wall expansion: gravitational waves and baryogenesis in Standard Model-like thermal plasma, JHEP 02, 017, arXiv:2111.02393 [astro-ph.CO] .
- C. Caprini, R. Durrer, and G. Servant, The stochastic gravitational wave background from turbulence and magnetic fields generated by a first-order phase transition, Journal of Cosmology and Astroparticle Physics 2009 (12), 024.
- I. Garg and U. A. Yajnik, Topological pseudodefects of a supersymmetric SO(10)𝑆𝑂10SO(10)italic_S italic_O ( 10 ) model and cosmology, Phys. Rev. D 98, 063523 (2018), arXiv:1802.03915 [hep-ph] .
- D. Stauffer, Scaling theory of percolation clusters, Phys. Rept. 54, 1 (1979b).
- M. Maggiore, Gravitational waves: Volume 1: Theory and experiments, Vol. 1 (Oxford university press, 2008).
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.