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Using the new non-analytic reconstruction method obtained from Mellin-Barnesproperties, one can extract the value $m_c(\bar{\text{MS}}) = 1.12 \pm 0.08\;\; \text{GeV}$ from experimental data of the radiation-corrected measuredhadronic cross section to the calculated lowest-order cross section for muonpair production in the heavy-quark approximation.

A new determination of the charm mass from the non-analytic reconstruction of the heavy quark correlator