Comment on applying dispersion relations to amplitudes with infrared singularities
High Energy Physics - Phenomenology
2024-04-02 v2
Abstract
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
Keywords
Cite
@article{arxiv.2312.13687,
title = {Comment on applying dispersion relations to amplitudes with infrared singularities},
author = {B. I. Ermolaev and S. I. Troyan},
journal= {arXiv preprint arXiv:2312.13687},
year = {2024}
}
Comments
6 pages, 2 figures. Multiple minor flaws are corrected