PreprintCC BY 4.0arXiv
The left-cut for partial waves in terms of physical amplitudes
Abstract
We derive a novel representation of the partial wave amplitude over the left-hand cut for 2 → 2 scattering. We express the left-hand cut of arbitrary isospin and angular momentum partial waves as an integral of right-hand cut imaginary parts. This formulation provides an explicit, exact extraction of the logarithmic branch cut structures, offering a valuable tool to systematically quantify left-hand cut uncertainties in unitarization methods such as the Inverse Amplitude Method or N/D approaches.
Versions
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BibTeX
@misc{salasbernardez2026leftcut,
title = {{The left-cut for partial waves in terms of physical amplitudes}},
author = {Alexandre Salas-Bernárdez},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2607.00136},
eprint = {2607.00136},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.00136},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The left-cut for partial waves in terms of physical amplitudes
AU - Alexandre Salas-Bernárdez
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2607.00136
UR - https://arxiv.org/abs/2607.00136
AB - We derive a novel representation of the partial wave amplitude over the left-hand cut for 2 → 2 scattering. We express the left-hand cut of arbitrary isospin and angular momentum partial waves as an integral of right-hand cut imaginary parts. This formulation provides an explicit, exact extraction of the logarithmic branch cut structures, offering a valuable tool to systematically quantify left-hand cut uncertainties in unitarization methods such as the Inverse Amplitude Method or N/D approaches.
ER -