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
  • Open Access

Universality of colored scalars from the stringy Kawai-Lewellen-Tye kernel

Christoph Bartsch1, Karol Kampf1,2, Jiří Novotný1, and Jaroslav Trnka3

Phys. Rev. D 112, 085002 – Published 6 October, 2025

DOI: https://doi.org/10.1103/3kgj-8mzm

Abstract

A new perspective on the inverse string theory Kawai-Lewellen-Tye (KLT) kernel is provided which establishes the universality of scattering amplitudes in the biadjoint scalar theory, pions in the nonlinear sigma model (NLSM), and mixed amplitudes (NLSM+ϕ3) recently studied in the literature. We show that all these amplitudes can be viewed as equivalent, arising from a single function, the inverse string theory KLT kernel, evaluated at different kinematic points. In this way cubic colored scalars and pions become interchangeable through a procedure we call the α′ shift. The latter complements the δ shift proposed by Arkani-Hamed et al., and demonstrates an inherent equivalence of scattering amplitudes in different quantum field theories by embedding them in a common stringy framework.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (40)

  1. N. Arkani-Hamed, H. Frost, and G. Salvatori, arXiv:2412.21027.
  2. N. Arkani-Hamed, Q. Cao, J. Dong, C. Figueiredo, and S. He, J. High Energy Phys. 04 (2025) 078.
  3. N. Arkani-Hamed, Q. Cao, J. Dong, C. Figueiredo, and S. He, Phys. Rev. Lett. 134, 171601 (2025).
  4. G. Salvatori, J. High Energy Phys. 12 (2019) 074.
  5. N. Arkani-Hamed, C. Figueiredo, H. Frost, and G. Salvatori, J. High Energy Phys. 05 (2025) 051.
  6. N. Arkani-Hamed, Q. Cao, J. Dong, C. Figueiredo, and S. He, J. High Energy Phys. 10 (2024) 231.
  7. N. Arkani-Hamed and C. Figueiredo, arXiv:2403.04826.
  8. N. Arkani-Hamed, Q. Cao, J. Dong, C. Figueiredo, and S. He, Phys. Rev. D 110, 065018 (2024).
  9. J. Broedel, O. Schlotterer, and S. Stieberger, Fortschr. Phys. 61, 812 (2013).
  10. C. R. Mafra and O. Schlotterer, J. High Energy Phys. 01 (2017) 031.
  11. J. J. M. Carrasco, C. R. Mafra, and O. Schlotterer, J. High Energy Phys. 08 (2017) 135.
  12. J. J. M. Carrasco, C. R. Mafra, and O. Schlotterer, J. High Energy Phys. 06 (2017) 093.
  13. Z. Bern, J. J. Carrasco, M. Chiodaroli, H. Johansson, and R. Roiban, J. Phys. A 57, 333002 (2024).
  14. N. E. J. Bjerrum-Bohr, P. H. Damgaard, T. Sondergaard, and P. Vanhove, J. High Energy Phys. 01 (2011) 001.
  15. H. Kawai, D. C. Lewellen, and S. H. H. Tye, Nucl. Phys. B269, 1 (1986).
  16. S. Mizera, J. High Energy Phys. 06 (2017) 084.
  17. S. Mizera, J. High Energy Phys. 08 (2017) 097.
  18. F. Cachazo, S. He, and E. Y. Yuan, J. High Energy Phys. 07 (2014) 033.
  19. S. L. Adler, Phys. Rev. 137, B1022 (1965).
  20. K. Kampf, J. Novotny, and J. Trnka, J. High Energy Phys. 05 (2013) 032.
  21. F. Cachazo, P. Cha, and S. Mizera, J. High Energy Phys. 06 (2016) 170.
  22. Y. Li, D. Roest, and T. ter Veldhuis, J. High Energy Phys. 04 (2025) 121.
  23. C. Bartsch, T. V. Brown, K. Kampf, U. Oktem, S. Paranjape, and J. Trnka, Phys. Rev. D 111, 045019 (2025).
  24. A. D’Adda, S. Sciuto, R. D’Auria, and F. Gliozzi, Nuovo Cimento Soc. Ital. Fis. 5A, 421 (1971).
  25. Q. Cao, J. Dong, S. He, and C. Shi, Phys. Lett. B 856, 138934 (2024).
  26. N. Arkani-Hamed, Y. Bai, S. He, and G. Yan, J. High Energy Phys. 05 (2018) 096.
  27. S. Paranjape, M. Skowronek, M. Spradlin, and A. Volovich, arXiv:2504.11253.
  28. C. Cheung, K. Kampf, J. Novotny, and J. Trnka, Phys. Rev. Lett. 114, 221602 (2015).
  29. C. Cheung, K. Kampf, J. Novotny, C.-H. Shen, and J. Trnka, J. High Energy Phys. 02 (2017) 020.
  30. H. Elvang, M. Hadjiantonis, C. R. T. Jones, and S. Paranjape, J. High Energy Phys. 01 (2019) 195.
  31. K. Kampf, J. Novotny, M. Shifman, and J. Trnka, Phys. Rev. Lett. 124, 111601 (2020).
  32. H.-H. Chi, H. Elvang, A. Herderschee, C. R. T. Jones, and S. Paranjape, J. High Energy Phys. 03 (2022) 077.
  33. C. Cheung, A. Helset, and J. Parra-Martinez, J. High Energy Phys. 04 (2022) 011.
  34. T. V. Brown, K. Kampf, U. Oktem, S. Paranjape, and J. Trnka, Phys. Rev. D 108, 105008 (2023).
  35. K. Kampf, J. Novotny, M. Shifman, and J. Trnka, J. High Energy Phys. 01 (2025) 009.
  36. C. Bartsch, K. Kampf, J. Novotny, and J. Trnka, Phys. Rev. D 110, 045009 (2024).
  37. Y. Li, T. Wang, T. Brauner, and D. Roest, arXiv:2412.14858.
  38. N. Arkani-Hamed and C. Figueiredo, arXiv:2405.09608.
  39. L. Rodina, Phys. Rev. Lett. 134, 031601 (2025).
  40. J. V. Backus and L. Rodina, arXiv:2503.03805.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation