Systematic derivation of perturbative unitarity bounds for any models

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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Publication Details

Journal
Physics Letters B
Published
2026-03-07
DOI
https://doi.org/10.1016/j.physletb.2026.140344
Primary Topic
Particle physics theoretical and experimental studies
Type
article
Field-Weighted Citation Impact
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article

Systematic derivation of perturbative unitarity bounds for any models

Nico Benincasa
Physics Letters B
Particle physics theoretical and experimental studies
article

Systematic derivation of perturbative unitarity bounds for any models

Nico Benincasa
article en

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.

Physics Letters BVol. 875
University of Electronic Science and Technology of China (CN)
Openalex Percentile: Top 29%
Particle physics theoretical and experimental studies
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