Primordial Helium In The Left-Right Symmetry Model With Extra Scalar Fields
DOI:
https://doi.org/10.26740/jpfa.v15n1.p52-70Keywords:
Primordial Helium, Standard Model, Big Bang Nucleosynthesis (BBN), Left-Right Symmetry, Feynman DiagramAbstract
Big Bang Nucleosynthesis (BBN) is a crucial phase in the universe's evolution, occurring approximately 1 second after the Big Bang. The BBN theory predicts a primordial Helium-4 abundance of about 25%, offering key limits on the number of light particles present at BBN temperatures. The Left-Right Symmetry Model with an Extra Scalar Field is a development of the Standard Model that adds a massive scalar field, which can decay into relativistic particles. This research aims to determine the temperature ratio between the right and left sectors, the mass limit of the massive scalar field consistent with BBN constraints, and the primordial helium abundance. This research is theoretical. The research objectives can be achieved with various methods; the Yukawa Lagrangian and the Scalar Potential are depicted in a Feynman Diagram, which then calculates each sector’s decay rate and temperature changes. The temperature ratio of the right and left sectors when the BBN took place in this model was 0.08-0.09. The BBN constraint imposes a dimensionless bound expressed as the mass ratio of the scalar field in the right sector to that in the left sector is . The abundance of primordial Helium-4 in the left sector is 25%, according to the Standard Model, while primordial Helium-4 in the right industry is 79%-87%. Thus, the Left-Right Symmetry Model with Extra Scalar mode satisfies the constraints of BBN words.
References
[1] E. W. Kolb and M. S. Turner, The Early Universe. New york: Addison-Wesley Publishing Company, 1990. Doi.
[2] S. Sarkar, “Big bang nucleosynthesis and physics beyond the standard model,” Reports Prog. Phys., vol. 59, no. 12, pp. 1493–1609, 1996. Doi. https://doi.org/10.1088/0034-4885/59/12/001
[3] V. A. Rubakov and S. Gorbunov, D., Introduction to The Theory Of The Early Universe Hot Big Bang Theory. World Scientific, 2011. Doi. https://doi.org/10.1142/7874
[4] V. Berezinsky, M. Narayan, and F. Vissani, “Mirror model for sterile neutrinos,” Nucl. Phys. B, vol. 658, no. 1–2, pp. 254–280, 2003. Doi. https://doi.org/10.1016/S0550-3213(03)00191-3
[5] B. C. Allanach, “Beyond the standard model,” Cern Yellow Reports Sch. Proc., vol. 5, no. June, pp. 123–152, 2017. Doi. https://doi.org/10.23730/CYRSP-2017-005.123
[6] K. Abe et al., “Constraint on the matter–antimatter symmetry-violating phase in neutrino oscillations,” Nature, vol. 580, no. 7803, pp. 339–344, 2020. Doi. https://doi.org/10.1038/s41586-020-2177-0
[7] D. O’Connell, M. J. Ramsey-Musolf, and M. B. Wise, “Minimal extension of the standard model scalar sector,” Phys. Rev. D - Part. Fields, Gravit. Cosmol., vol. 75, no. 3, pp. 1–4, 2007.
[8] S. R. Haniah, Istikomah, M. A. Khalif, and H. H. Kusuma, “Scalar Field Mass Generation in the Gauge Theory SU(2)XU(1)XZ2,” in Journal of Physics: Conference Series, 2020. Doi. https://doi.org/10.1088/1742-6596/1539/1/012005
[9] B. Dutta, Y. Mimura, and R. N. Mohapatra, “An SO(10) grand unified theory of flavor,” J. High Energy Phys., vol. 34, 2010. Doi.
[10] F. J. de Anda, S. F. King, and E. Perdomo, “ S U ( 5 ) grand unified theory with A 4 modular symmetry ,” Phys. Rev. D, vol. 101, no. 1, p. 15028, 2020. Doi. https://doi.org/10.1103/PhysRevD.101.015028
[11] R. N. Mohapatra and S. Nasri, “Avoiding BBN constraints on mirror models for sterile neutrinos,” Phys. Rev. D - Part. Fields, Gravit. Cosmol., vol. 71, no. 5, pp. 1–7, 2005. Doi. https://doi.org/10.1103/PhysRevD.71.053001
[12] M. Satriawan, “A Multicomponent Dark Matter in a Model with Mirror Symmetry with Additional Charged Scalars,” no. 1, pp. 1–9, 2018. Doi. https://doi.org/10.48550/arXiv.1801.00326
[13] M. Kawasaki, K. Kohri, T. Moroi, and Y. Takaesu, “Revisiting big-bang nucleosynthesis constraints on long-lived decaying particles,” Phys. Rev. D, vol. 97, no. 2, p. 23502, 2018. Doi. https://doi.org/10.1103/PhysRevD.97.023502
[14] A. Boyarsky, M. Ovchynnikov, O. Ruchayskiy, and V. Syvolap, “Improved big bang nucleosynthesis constraints on heavy neutral leptons,” Phys. Rev. D, vol. 104, no. 2, p. 23517, 2021. Doi. https://doi.org/10.1103/PhysRevD.104.023517
[15] J. C. Pati and A. Salam, “Lepton Number As The Fourth ‘color,’” Phys. Rev. D, vol. 10, 1974.
[16] E. Akhmedov, M. Lindner, E. Schnapka, and J. W. F. Valle, “Dynamical Left-Right Symmetry Breaking,” no. September, 1995. Doi. https://doi.org/10.1103/PhysRevD.53.2752
[17] A. Damanik, M. Satriawan, and P. Anggraita, “Left-Right Symmetry Model with Two Bidoublets and One Doublet Higgs Fields for Electroweak Interaction.” https://www.academia.edu/15378835/Left_Right_Symmetry_Model_with_Two_Bidoublets_and_One_Doublet_Higgs_Field_for_Electroweak_Interaction
[18] R. N. Mohapatra and G. Senjanovic, “Exact Left-Right Symmetry and Spontaneous Violation o Parity,” Phys. Rev. D, vol. 10, 1975. Doi. https://doi.org/10.1103/PhysRevD.12.1502
[19] S. Patra, “Neutrinoless double beta decay process in left-right symmetric models without scalar bidoublet,” Phys. Rev. D - Part. Fields, Gravit. Cosmol., vol. 87, no. 1, 2013. Doi. https://doi.org/10.1103/PhysRevD.87.015002
[20] Istikomah, “Pembangkitan Massa Medan Skalar dan Boson Tera pada Model Simetri Kiri Kanan Termodifikasi Berdasarkan Grup Tera SU(3)⊗SU(2)_L⊗SU(2)_R⊗U(1)_Y,” J. Fis., vol. 10, no. 2, pp. 35–41, 2020. Doi. https://doi.org/10.21580/jnsmr.2023.9.1.17481
[21] A. S. Adam, A. Ferdiyan, and M. Satriawan, “A New Left-Right Symmetry Model,” Adv. High Energy Phys., vol. 1, 2020. Doi. https://doi.org/10.1155/2020/3090783
[22] A. Ferdiyan, A. S. Adam, and M. Satriawan, “The Left-Right Symmetry Breaking Mechanism for the New Left-Right Symmetry Model,” JPSE (Journal Phys. Sci. Eng., vol. 5, no. 1, pp. 1–5, 2020. Doi. https://doi.org/10.28932/jpse.v5i1.12882
[23] N. E. Isnawati, I. Istikomah, and M. A. Khalif, “Fermion mass formulation in the Modified Left-Right Symmetry Model,” J. Nat. Sci. Math. Res., vol. 8, no. 2, pp. 66–74, 2022. Doi. https://doi.org/10.21580/jnsmr.2022.8.2.13633
[24] Istikomah and N. E. Isnawati, “Scalar fields as dark matter candidates in the modified left-right symmetry model,” vol. 9, no. 1, pp. 19–28, 2023. Doi. https://doi.org/10.21580/jnsmr.2023.9.1.17481
[25] D. Griffiths, Introduction to Elemntary Particles, Second, Re. WILEY-VCH Verlag GmbH & Co. KGaA, 2008.
[26] Istikomah, “Kendala Big Bang Nucleosynthesis Pada model Cermin Termodifikasi,” Universitas Gadjah Mada, 2015.
[27] Z. Berezhiani, D. Comelli, and F. L. Villante, “The early mirror universe: Inflation, baryogenesis, nucleosynthesis and dark matter,” Phys. Lett. Sect. B Nucl. Elem. Part. High-Energy Phys., vol. 503, no. 3–4, pp. 362–375, 2001. Doi. https://doi.org/10.1016/S0370-2693%2801%2900217-9
[28] J. S. Roux and J. M. Cline, “Constraining galactic structures of mirror dark matter,” Phys. Rev. D, vol. 102, no. 6, 2020. Doi. https://doi.org/10.1103/PhysRevD.102.063518
[29] Y. A. Coutinho, J. A. Martins Simões, and C. M. Porto, “Fermion masses in a model for spontaneous parity breaking,” Eur. Phys. J. C, vol. 18, 2001. Doi. https://doi.org/10.1007/s100520100525
[30] P. D. B. Collins, A. D. Martin, and E. J. Squaires, Particle Physics and Cosmology. John Willey & Sons, 1989.
[31] The ATLAS Collaborations, “Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC,” vol. 716, no. May, pp. 1–29, 2013. Doi. https://doi.org/10.1016/j.physletb.2012.08.020
[32] F. Halzen and A. D. Martin, Quark And Leptons: an Introductory Course in Modern Particle Physics. John Willey & Sons, 1984.
[33] S. Navas et al., “Review of particle physics,” Phys. Rev. D, vol. 110, no. 3, 2024.
[34] R. Foot, “Mirror dark matter: Cosmology, galaxy structure and direct,” Int. J. Mod. Phys. A, vol. 29, no. 11–12, 2014. Doi. https://doi.org/10.1142/S0217751X14300130
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Jurnal Penelitian Fisika dan Aplikasinya (JPFA)

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Author(s) who wish to publish with this journal should agree to the following terms:
- Author(s) retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution-Non Commercial 4.0 License (CC BY-NC) that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal for noncommercial purposes.
- Author(s) are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
The publisher publish and distribute the Article with the copyright notice to the JPFA with the article license CC-BY-NC 4.0.
Abstract views: 19
,
PDF Downloads: 27




