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The last two decades have seen a growing trend towards the experimentalefforts at the electron-proton collider HERA in which have collected highprecision data on the spectrum of leading neutron (LN) and leading-proton (LP)carrying a large fraction of the proton's energy. In our recent study [Phys.Rev. D \textbf{95} (2017), 074011], we have proposed an approach based on theFractures Functions (FF) formalism and have extracted the neutron FractureFunctions (neutron FFs) from a global QCD analysis of LN production datameasured by H1 and ZEUS collaborations at HERA. We have shown that consideringthe approach based on the framework of Fracture Functions, one couldphenomenologically parametrize the neutron FFs at the input scale. In order toaccess the uncertainties for the obtained neutron FFs as well as the LNstructure functions and cross section, associated with the uncertainties in thedata, we have made an extensive use of the "Hessian method". Our theorypredictions based on the obtained neutron FFs are in satisfactory agreementwith all LN data analyzed, for a wide range of $\beta$ and $x_L$.

QCD analysis of leading-neutron production at HERA: Determination of neutron fracture functions