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Auteurs principaux: Ermolaev, B. I., Troyan, S. I.
Format: Preprint
Publié: 2023
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Accès en ligne:https://arxiv.org/abs/2312.13687
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author Ermolaev, B. I.
Troyan, S. I.
author_facet Ermolaev, B. I.
Troyan, S. I.
contents Dispersion Relations (DR) are known to be a powerful instrument for studying scattering amplitudes. In particular, they often apply to calculations in Perturbative QCD and Standard Model. We argue that applying DR to amplitudes with double-logarithmic (DL) contributions should be done with a proper caution because DL terms are often infrared-divergent. Ignoring this circumstance leads to incorrect results. As an example of such situation, we consider applying DR to decays of on-shell W and Z -bosons into fermion pairs in the Double-Logarithmic Approximation
format Preprint
id arxiv_https___arxiv_org_abs_2312_13687
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Comment on applying dispersion relations to amplitudes with infrared singularities
Ermolaev, B. I.
Troyan, S. I.
High Energy Physics - Phenomenology
Dispersion Relations (DR) are known to be a powerful instrument for studying scattering amplitudes. In particular, they often apply to calculations in Perturbative QCD and Standard Model. We argue that applying DR to amplitudes with double-logarithmic (DL) contributions should be done with a proper caution because DL terms are often infrared-divergent. Ignoring this circumstance leads to incorrect results. As an example of such situation, we consider applying DR to decays of on-shell W and Z -bosons into fermion pairs in the Double-Logarithmic Approximation
title Comment on applying dispersion relations to amplitudes with infrared singularities
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2312.13687