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arXiv · 2510.17997

Systematic derivation of perturbative unitarity bounds for any models

Nico Benincasa
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Abstract

In this letter, we provide a simple algorithm, anyPUB, to systematically derive the $2 \rightarrow 2$ 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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Nico Benincasa. 2025-10-20. Systematic derivation of perturbative unitarity bounds for any models. https://arxiv.org/abs/2510.17997

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