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Main Authors: Zamoro, Marta Fuentes, Grinstein, Benjamín, Quílez, Pablo
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2510.08784
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author Zamoro, Marta Fuentes
Grinstein, Benjamín
Quílez, Pablo
author_facet Zamoro, Marta Fuentes
Grinstein, Benjamín
Quílez, Pablo
contents Perturbative partial-wave amplitudes diverge in cases with a massless exchanged particle in the $t$-channel. We argue that the divergence is an artifact of perturbation theory and give a prescription for the all-orders correction factor that renders the partial waves finite. As an example, we apply this to longitudinal $W^+W^-$ elastic scattering, for which there is a photon exchange $t$-channel contribution, and derive improved quasi-perturbative unitarity bounds on the mass of the Higgs. The method is also useful for $t$-channel exchange of very light particles.
format Preprint
id arxiv_https___arxiv_org_abs_2510_08784
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Taming forward scattering singularities in partial waves
Zamoro, Marta Fuentes
Grinstein, Benjamín
Quílez, Pablo
High Energy Physics - Phenomenology
High Energy Physics - Theory
Perturbative partial-wave amplitudes diverge in cases with a massless exchanged particle in the $t$-channel. We argue that the divergence is an artifact of perturbation theory and give a prescription for the all-orders correction factor that renders the partial waves finite. As an example, we apply this to longitudinal $W^+W^-$ elastic scattering, for which there is a photon exchange $t$-channel contribution, and derive improved quasi-perturbative unitarity bounds on the mass of the Higgs. The method is also useful for $t$-channel exchange of very light particles.
title Taming forward scattering singularities in partial waves
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2510.08784