- Physical Review Journals
All JournalsPhysics Magazine

Physical Review D

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Letter
  • Open Access

Entanglement suppression, enhanced symmetry, and a standard-model-like Higgs boson

Marcela Carena2,3,4, Ian Low5,6, Carlos E. M. Wagner3,4,5, and Ming-Lei Xiao1,5,6,*

  • 1School of Science, Sun Yat-sen University, Shenzhen 518100, People’s Republic of China
  • 2Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510, USA
  • 3Enrico Fermi Institute, University of Chicago, Chicago, Illinois 60637, USA
  • 4Kavli Institute for Cosmological Physics, University of Chicago, Chicago, Illinois 60637, USA
  • 5High Energy Physics Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
  • 6Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208, USA

  • *Corresponding author: xiaomlei@mail.sysu.edu.cn
PDF

Phys. Rev. D 109, L051901 – Published 14 March, 2024

DOI: https://doi.org/10.1103/PhysRevD.109.L051901

Abstract

We study information-theoretic properties of scalar models containing two Higgs doublets Φa, where a=1, 2 is the flavor quantum number. Considering the 2-to-2 scattering ΦaΦb→ΦcΦd as a two-qubit system in the flavor subspace and the S-matrix as a quantum logic gate, we analyze the entanglement power of the S-matrix at the tree level, in the limit the gauge coupling is turned off. Demanding the suppression of flavor entanglement during the scattering, the perturbative S-matrix in the broken phase can only be in the equivalent class of the Identity gate and the scalar potential exhibits a maximally enhanced SO(8) symmetry acting on the eight real components of the two doublets. The SO(8) symmetry leads to the alignment limit naturally, giving rise to a Standard-Model-like Higgs boson as a consequence of entanglement suppression.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (36)

  1. J. A. Wheeler, in Proceedings III International Symposium on Foundations of Quantum Mechanics (Physical Society of Japan, Tokyo, 1989), pp. 354–358.
  2. S. R. Beane, D. B. Kaplan, N. Klco, and M. J. Savage, Phys. Rev. Lett. 122, 102001 (2019).
  3. I. Low and T. Mehen, Phys. Rev. D 104, 074014 (2021).
  4. Q. Liu, I. Low, and T. Mehen, Phys. Rev. C 107, 025204 (2023).
  5. E. P. Wigner, Proc. Natl. Acad. Sci. U.S.A. 38, 449 (1952).
  6. T. Mehen, I. W. Stewart, and M. B. Wise, Phys. Rev. Lett. 83, 931 (1999).
  7. T. Mehen, I. W. Stewart, and M. B. Wise, Phys. Lett. B 474, 145 (2000).
  8. Y. Nishida and D. T. Son, Phys. Rev. D 76, 086004 (2007).
  9. D. B. Kaplan, M. J. Savage, and M. B. Wise, Phys. Lett. B 424, 390 (1998).
  10. D. B. Kaplan, M. J. Savage, and M. B. Wise, Nucl. Phys. B534, 329 (1998).
  11. ATLAS Collaboration, Nature (London) 607, 52 (2022); ATLAS Collaboration 612, E24 (2022).
  12. A. Tumasyan et al. (CMS Collaboration), Nature (London) 607, 60 (2022).
  13. J. F. Gunion and H. E. Haber, Phys. Rev. D 67, 075019 (2003).
  14. M. Carena, I. Low, N. R. Shah, and C. E. M. Wagner, J. High Energy Phys. 04 (2014) 015.
  15. M. Carena, H. E. Haber, I. Low, N. R. Shah, and C. E. M. Wagner, Phys. Rev. D 91, 035003 (2015).
  16. M. Carena, H. E. Haber, I. Low, N. R. Shah, and C. E. M. Wagner, Phys. Rev. D 93, 035013 (2016).
  17. I. Low, N. R. Shah, and X.-P. Wang, Phys. Rev. D 105, 035009 (2022).
  18. P. S. Bhupal Dev and A. Pilaftsis, J. High Energy Phys. 12 (2014) 024; 11 (2015) 147(E).
  19. P. S. Bhupal Dev and A. Pilaftsis, J. Phys. Conf. Ser. 873, 012008 (2017).
  20. B. Kraus and J. I. Cirac, Phys. Rev. A 63, 062309 (2001).
  21. S. A. Hill and W. K. Wootters, Phys. Rev. Lett. 78, 5022 (1997).
  22. W. K. Wootters, Phys. Rev. Lett. 80, 2245 (1998).
  23. P. Zanardi, Phys. Rev. A 63, 040304(R) (2001).
  24. A. D. Ballard and Y.-S. Wu, in Cross Disciplinary Advances in Quantum Computing (American Mathematical Society, Oxford, 2011), Chap. Cartan Decomposition and Entangling Power of Braiding Quantum Gates.
  25. N. Khaneja and S. Glaser, arXiv:quant-ph/0010100.
  26. J. Zhang, J. Vala, S. Sastry, and K. B. Whaley, Phys. Rev. A 67, 042313 (2003).
  27. H. E. Haber and R. Hempfling, Phys. Rev. D 48, 4280 (1993).
  28. M. Carena and H. E. Haber, Prog. Part. Nucl. Phys. 50, 63 (2003).
  29. G. C. Branco, P. M. Ferreira, L. Lavoura, M. N. Rebelo, M. Sher, and J. P. Silva, Phys. Rep. 516, 1 (2012).
  30. F. J. Botella and J. P. Silva, Phys. Rev. D 51, 3870 (1995).
  31. A. Cervera-Lierta, J. I. Latorre, J. Rojo, and L. Rottoli, SciPost Phys. 3, 036 (2017).
  32. G. A. Miller, Phys. Rev. C 108, L031002 (2023).
  33. D. Bai, Phys. Lett. B 845, 138162 (2023).
  34. R. Aoude, M.-Z. Chung, Y.-t. Huang, C. S. Machado, and M.-K. Tam, Phys. Rev. Lett. 125, 181602 (2020).
  35. See Supplemental Materials at http://link.aps.org/supplemental/10.1103/PhysRevD.109.L051901 for computational details.
  36. H. Bahl, M. Carena, N. M. Coyle, A. Ireland, and C. E. M. Wagner, J. High Energy Phys. 03 (2023) 165.

Outline

Information

Phys. Rev. D 109, L051901– Published 14 March, 2024
  • Received 31 August 2023
  • Accepted 19 February 2024
Crossmark - Check for updates button
Creative Commons Logo

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation