# Probing the singularities of the Landau-Gauge gluon and ghost propagators with rational approximants

@article{Boito2022ProbingTS, title={Probing the singularities of the Landau-Gauge gluon and ghost propagators with rational approximants}, author={Diogo Boito and Attilio Cucchieri and C. Y. London and Tereza Mendes}, journal={Journal of High Energy Physics}, year={2022}, volume={2023}, pages={1-37} }

We employ Padé approximants in the study of the analytic structure of the four-dimensional SU(2) Landau-gauge gluon and ghost propagators in the infrared regime. The approximants, which are model independent, serve as fitting functions for the lattice data. We carefully propagate the uncertainties due to the fitting procedure, taking into account all possible correlations. For the gluon-propagator data, we confirm the presence of a pair of complex poles at p pole 2 $$ {p}_{\textrm{pole}}^2…

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