- Open Access
Leptogenesis in the presence of density perturbations
Phys. Rev. D 111, 115029 – Published 25 June, 2025
DOI: https://doi.org/10.1103/s7dp-8f59
Abstract
We point out a new effect on the freeze-out process of heavy particles induced by density perturbations in the early Universe, which we call “acoustically driven freeze-out.” This beyond-linear effect is caused by the exponential decoupling of heavy particles from the thermal bath in the presence of density perturbations, and already at moderately large values , it cannot be captured by linear perturbation theory. We illustrate this effect with leptogenesis taking the decay and inverse decay of heavy neutrinos into account and discuss its phenomenological implications. We found that perturbations always enhance the (spatially averaged) values of the final lepton asymmetry, and as a result, constraints on the mass of heavy neutrinos are found to be relaxed in the presence of perturbations.
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References (61)
- A. A. Starobinsky, Spectrum of relict gravitational radiation and the early state of the Universe, JETP Lett. 30, 682 (1979), http://jetpletters.ru/ps/1370/article_20738.shtml.
- K. Sato, First-order phase transition of a vacuum and the expansion of the Universe, Mon. Not. R. Astron. Soc. 195, 467 (1981).
- D. Kazanas, Dynamics of the Universe and spontaneous symmetry breaking, Astrophys. J. Lett. 241, L59 (1980).
- A. H. Guth, The inflationary universe: A possible solution to the horizon and flatness problems, Phys. Rev. D 23, 347 (1981).
- A. D. Linde, A new inflationary universe scenario: A possible solution of the horizon, flatness, homogeneity, isotropy and primordial monopole problems, Phys. Lett. 108B, 389 (1982).
- S. Hawking, The development of irregularities in a single bubble inflationary Universe, Phys. Lett. 115B, 295 (1982).
- A. H. Guth and S. Y. Pi, Fluctuations in the new inflationary Universe, Phys. Rev. Lett. 49, 1110 (1982).
- A. A. Starobinsky, Dynamics of phase transition in the new inflationary universe scenario and generation of perturbations, Phys. Lett. 117B, 175 (1982).
- J. M. Bardeen, P. J. Steinhardt, and M. S. Turner, Spontaneous creation of almost scale-free density perturbations in an inflationary Universe, Phys. Rev. D 28, 679 (1983).
- N. Aghanim et al. (Planck Collaboration), Planck 2018 results. VI. Cosmological parameters, Astron. Astrophys. 641, A6 (2020); 652, C4(E) (2021).
- S. Alam et al. (eBOSS Collaboration), Completed SDSS-IV extended baryon oscillation spectroscopic survey: Cosmological implications from two decades of spectroscopic surveys at the Apache Point Observatory, Phys. Rev. D 103, 083533 (2021).
- A. D. Sakharov, Violation of invariance, C asymmetry, and baryon asymmetry of the Universe, Pis’ma Zh. Eksp. Teor. Fiz. 5, 32 (1967).
- L. Kofman, A. D. Linde, and A. A. Starobinsky, Reheating after inflation, Phys. Rev. Lett. 73, 3195 (1994).
- L. Kofman, A. D. Linde, and A. A. Starobinsky, Towards the theory of reheating after inflation, Phys. Rev. D 56, 3258 (1997).
- P. B. Greene, L. Kofman, A. D. Linde, and A. A. Starobinsky, Structure of resonance in preheating after inflation, Phys. Rev. D 56, 6175 (1997).
- J. McDonald, Thermally generated gauge singlet scalars as selfinteracting dark matter, Phys. Rev. Lett. 88, 091304 (2002).
- L. J. Hall, K. Jedamzik, J. March-Russell, and S. M. West, Freeze-in production of FIMP dark matter, J. High Energy Phys. 03 (2010) 080.
- M. Fukugita and T. Yanagida, Baryogenesis without grand unification, Phys. Lett. B 174, 45 (1986).
- P. Minkowski, at a rate of one out of muon decays?, Phys. Lett. 67B, 421 (1977).
- T. Yanagida, Horizontal gauge symmetry and masses of neutrinos, Conf. Proc. C 7902131, 95 (1979), https://neutrino.kek.jp/seesaw/KEK-79-18-Yanagida.pdf.
- M. Gell-Mann, P. Ramond, and R. Slansky, Complex spinors and unified theories, Conf. Proc. C 790927, 315 (1979), https://ui.adsabs.harvard.edu/abs/2013arXiv1306.4669G/abstract.
- R. N. Mohapatra and G. Senjanovic, Neutrino mass and spontaneous parity nonconservation, Phys. Rev. Lett. 44, 912 (1980).
- I. Esteban, M. C. Gonzalez-Garcia, M. Maltoni, T. Schwetz, and A. Zhou, The fate of hints: Updated global analysis of three-flavor neutrino oscillations, J. High Energy Phys. 09 (2020) 178.
- M. J. Dolinski, A. W. P. Poon, and W. Rodejohann, Neutrinoless double-beta decay: Status and prospects, Annu. Rev. Nucl. Part. Sci. 69, 219 (2019).
- J. Aasi et al. (LIGO Scientific Collaboration), Advanced LIGO, Classical Quantum Gravity 32, 074001 (2015).
- F. Acernese et al. (VIRGO Collaboration), Advanced Virgo: A second-generation interferometric gravitational wave detector, Classical Quantum Gravity 32, 024001 (2015).
- T. Akutsu et al. (KAGRA Collaboration), Overview of KAGRA: Detector design and construction history, Prog. Theor. Exp. Phys. 2021, 05A101 (2021).
- P. Amaro-Seoane et al. (LISA Collaboration), Laser interferometer space antenna, arXiv:1702.00786.
- M. Punturo et al., The Einstein telescope: A third-generation gravitational wave observatory, Classical Quantum Gravity 27, 194002 (2010).
- B. P. Abbott et al. (LIGO Scientific Collaboration), Exploring the sensitivity of next generation gravitational wave detectors, Classical Quantum Gravity 34, 044001 (2017).
- K. N. Ananda, C. Clarkson, and D. Wands, The cosmological gravitational wave background from primordial density perturbations, Phys. Rev. D 75, 123518 (2007).
- D. Baumann, P. J. Steinhardt, K. Takahashi, and K. Ichiki, Gravitational wave spectrum induced by primordial scalar perturbations, Phys. Rev. D 76, 084019 (2007).
- B. J. Carr and S. W. Hawking, Black holes in the early Universe, Mon. Not. R. Astron. Soc. 168, 399 (1974).
- S. Hawking, Gravitationally collapsed objects of very low mass, Mon. Not. R. Astron. Soc. 152, 75 (1971).
- Y. B. Zel’dovich and I. D. Novikov, The hypothesis of cores retarded during expansion and the hot cosmological model, Sov. Astron. 10, 602 (1967), https://dev.adsabs.harvard.edu/scan/manifest/1967SvA....10..602Z.
- A. Kartavtsev and D. Besak, Baryogenesis via Leptogenesis in an inhomogeneous Universe, Phys. Rev. D 78, 083001 (2008).
- W. Buchmuller, P. Di Bari, and M. Plumacher, Leptogenesis for pedestrians, Ann. Phys. (Amsterdam) 315, 305 (2005).
- G. F. Giudice, M. Peloso, A. Riotto, and I. Tkachev, Production of massive fermions at preheating and leptogenesis, J. High Energy Phys. 08 (1999) 014.
- N. S. Manton, Topology in the Weinberg-Salam theory, Phys. Rev. D 28, 2019 (1983).
- F. R. Klinkhamer and N. S. Manton, A saddle-point solution in the Weinberg-Salam theory, Phys. Rev. D 30, 2212 (1984).
- S. Y. Khlebnikov and M. E. Shaposhnikov, The statistical theory of anomalous fermion number nonconservation, Nucl. Phys. B308, 885 (1988).
- J. A. Harvey and M. S. Turner, Cosmological baryon and lepton number in the presence of electroweak fermion number violation, Phys. Rev. D 42, 3344 (1990).
- H. Kodama and M. Sasaki, Cosmological perturbation theory, Prog. Theor. Phys. Suppl. 78, 1 (1984).
- D. Baumann, Cosmology (Cambridge University Press, Cambridge, England, 2022).
- L. Senatore, S. Tassev, and M. Zaldarriaga, Cosmological perturbations at second order and recombination perturbed, J. Cosmol. Astropart. Phys. 08 (2009) 031.
- W. Buchmuller, P. Di Bari, and M. Plumacher, The neutrino mass window for baryogenesis, Nucl. Phys. B665, 445 (2003).
- R. L. Workman et al. (Particle Data Group), Review of particle physics, Prog. Theor. Exp. Phys. 2022, 083C01 (2022).
- S. Ajimura et al. (CANDLES Collaboration), Low background measurement in CANDLES-III for studying the neutrino-less double beta decay of , Phys. Rev. D 103, 092008 (2021).
- C. Alduino et al. (CUORE Collaboration), First results from CUORE: A search for lepton number violation via decay of , Phys. Rev. Lett. 120, 132501 (2018).
- G. Anton et al. (EXO-200 Collaboration), Search for neutrinoless double- decay with the complete EXO-200 dataset, Phys. Rev. Lett. 123, 161802 (2019).
- S. Abe et al. (KamLAND-Zen Collaboration), Search for the Majorana nature of neutrinos in the inverted mass ordering region with KamLAND-Zen, Phys. Rev. Lett. 130, 051801 (2023).
- N. Abgrall et al. (LEGEND Collaboration), The large enriched germanium experiment for neutrinoless double beta decay (LEGEND), AIP Conf. Proc. 1894, 020027 (2017).
- R. Arnold et al. (NEMO-3 Collaboration), Results of the search for neutrinoless double- decay in with the NEMO-3 experiment, Phys. Rev. D 92, 072011 (2015).
- R. Arnold et al. (NEMO-3 Collaboration), Measurement of the decay half-life of and a search for decay processes with the full exposure from the NEMO-3 detector, Phys. Rev. D 94, 072003 (2016).
- D. Jeong, J. Pradler, J. Chluba, and M. Kamionkowski, Silk damping at a redshift of a billion: A new limit on small-scale adiabatic perturbations, Phys. Rev. Lett. 113, 061301 (2014).
- J. Chluba, R. Khatri, and R. A. Sunyaev, CMB at order: The dissipation of primordial acoustic waves and the observable part of the associated energy release, Mon. Not. R. Astron. Soc. 425, 1129 (2012).
- U.-L. Pen and N. Turok, Shocks in the early Universe, Phys. Rev. Lett. 117, 131301 (2016).
- C. Cercignani and G. M. Kremer, The Relativistic Boltzmann Equation: Theory and Applications (Birkhauser, Basel, Switzerland, 2002).
- A. Denner, H. Eck, O. Hahn, and J. Kublbeck, Compact Feynman rules for Majorana fermions, Phys. Lett. B 291, 278 (1992).
- A. Denner, H. Eck, O. Hahn, and J. Kublbeck, Feynman rules for fermion-number-violating interactions, Nucl. Phys. B387, 467 (1992).
- W. Buchmuller, P. Di Bari, and M. Plumacher, Cosmic microwave background, matter—antimatter asymmetry and neutrino masses, Nucl. Phys. B643, 367 (2002); B793, 362(E) (2008).