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March 10, 2026Physics Letters B0 citationsOpen Access

Systematic derivation of perturbative unitarity bounds for any models

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NBNico Benincasa

Key Points

  • To develop an algorithm for deriving perturbative unitarity bounds for scattering matrices across various models.
  • Developed a simple algorithm, anyPUB, to compute the 2 → 2 scattering matrix in high-energy limits.
  • Calculated eigenvalues from the scattering matrix both analytically and numerically.
  • Tested the method on a variety of models, validating results against existing literature.
  • Successfully derived perturbative unitarity constraints for the minimal left-right symmetric model.
  • Applied the method to obtain constraints in the Pati-Salam model for the first time.

Abstract

In this letter, we provide a simple algorithm, anyPUB , to systematically derive the 2 → 2 scattering matrix in the high-energy limit for any kind of models, irrespective of their gauge group or their field representation. After computing the eigenvalues analytically and/or numerically from this matrix, we impose perturbative unitarity bounds on them. We tested our method on various models and validated the results against the literature. Finally, as a concrete application of our approach, we discuss the case of the minimal left-right symmetric model and derive, for the first time, the perturbative unitarity constraints in the Pati-Salam model.

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Cite This Study

Nico Benincasa (2026) studied this question.

synapsesocial.com/papers/69af959570916d39fea4d4f7https://doi.org/10.1016/j.physletb.2026.140344
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