Unitarity dressing of the dynamical gluon mass scale
Abstract
We examine how s-channel unitarization changes the dynamical gluon mass scale mg inferred from high-energy elastic pp scattering. The Born input is the Reggeized Landshoff--Nachtmann exchange of two nonperturbative gluons in a color-singlet state. We fit the ATLAS and TOTEM forward data separately, using eikonal and U-matrix unitarizations with logarithmic and power-law running masses derived from Schwinger--Dyson analyses. At the common reference cut |t|max=0.12 GeV2, the Born fits give mg=297--427 MeV; the eikonal and U-matrix fits give $265−−360~\MeV$ and $243−−328~\MeV$, respectively. Unitarization changes the fitted values of the intercept parameter ε, mg, and the exponential slope a1 of the proton form factor together. Over 0.10≤ |t|max≤0.14 GeV2, the U-matrix parameters vary less with the cut, while the eikonal fits to TOTEM show a pronounced drift. Replacing the infrared continuation of the logarithmic effective charge by a Curci--Ferrari prescription changes mg by a mean absolute relative shift of 1.77% over twenty comparisons, with a maximum of 2.17%. The inferred scale remains in the few-hundred-MeV region, but its fitted value depends on the nonperturbative input and on the unitarization prescription.
Related
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BibTeX
@misc{iser2026unitarity,
title = {{Unitarity dressing of the dynamical gluon mass scale}},
author = {T. V. Iser and V. Li and E. G. S. Luna},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.10903},
eprint = {2609.10903},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.10903},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Unitarity dressing of the dynamical gluon mass scale
AU - T. V. Iser
AU - V. Li
AU - E. G. S. Luna
PY - 2026
DA - 2026/10/02
PB - arXiv
DO - 10.48550/arxiv.2609.10903
UR - https://arxiv.org/abs/2609.10903
AB - We examine how s-channel unitarization changes the dynamical gluon mass scale m_g inferred from high-energy elastic pp scattering. The Born input is the Reggeized Landshoff--Nachtmann exchange of two nonperturbative gluons in a color-singlet state. We fit the ATLAS and TOTEM forward data separately, using eikonal and U-matrix unitarizations with logarithmic and power-law running masses derived from Schwinger--Dyson analyses. At the common reference cut |t|_max=0.12 GeV^2, the Born fits give m_g=297--427 MeV; the eikonal and U-matrix fits give $265−−360~\MeV$ and $243−−328~\MeV$, respectively. Unitarization changes the fitted values of the intercept parameter ε, m_g, and the exponential slope a_1 of the proton form factor together. Over 0.10≤ |t|_max≤0.14 GeV^2, the U-matrix parameters vary less with the cut, while the eikonal fits to TOTEM show a pronounced drift. Replacing the infrared continuation of the logarithmic effective charge by a Curci--Ferrari prescription changes m_g by a mean absolute relative shift of 1.77% over twenty comparisons, with a maximum of 2.17%. The inferred scale remains in the few-hundred-MeV region, but its fitted value depends on the nonperturbative input and on the unitarization prescription.
ER -