The Bjorken sum rule with Monte Carlo and Neural Network techniques

Understand

Determinations of structure functions and parton distribution functions have been recently obtained using Monte Carlo methods and neural networks as universal, unbiased interpolants for the unknown functional dependence.

• In this work the same methods are applied to obtain a parametrization of polarized Deep Inelastic Scattering (DIS) structure functions.
• The Monte Carlo approach provides a bias--free determination of the probability measure in the space of structure functions, while retaining all the information on experimental errors and correlations.
• In particular the error on the data is propagated into an error on the structure functions that has a clear statistical meaning.