Spin asymmetries for events with high<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>hadrons in DIS and an evaluation of the gluon polarization

We present a measurement of the longitudinal spin cross section asymmetry for deep-inelastic muon-nucleon interactions with two high transverse momentum hadrons in the final state. Two methods of event classification are used to increase the contribution of the photon-gluon fusion process to above 30%. The most effective one, based on a neural network approach, provides the asymmetries ${A}_{p}^{\mathcal{l}\stackrel{\ensuremath{\rightarrow}}{N}\mathcal{l}\mathrm{hhX}}=0.030\ifmmode\pm\else\textpm\fi{}0.057(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}0.010(\mathrm{syst})$ and ${A}_{d}^{\mathcal{l}\stackrel{\ensuremath{\rightarrow}}{N}\mathcal{l}\mathrm{hhX}}=0.070\ifmmode\pm\else\textpm\fi{}0.076(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}0.010(\mathrm{syst}).$ From these values we derive an averaged gluon polarization $\ensuremath{\Delta}G/G=\ensuremath{-}0.20\ifmmode\pm\else\textpm\fi{}0.28(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}0.10(\mathrm{syst})$ at an average fraction of nucleon momentum carried by gluons $〈\ensuremath{\eta}〉=0.07.$