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The hadronic kt-spectrum inside a high energy jet is determined includingcorrections of relative magnitude O{\sqrt{\alpha_s}} with respect to theModified Leading Logarithmic Approximation (MLLA), in the limiting spectrumapproximation (assuming an infrared cut-off Q0 =Lambda_{QCD}) and beyondQ_0\ne\Lambda_{QCD}. The results in the limiting spectrum approximation arefound to be, after normalization, in impressive agreement with preliminarymeasurements by the CDF collaboration, unlike what occurs at MLLA, pointing outsmall overall non-perturbative contributions. Within the same framework,2-particle correlations inside a jet are also predicted at NMLLA and comparedto previous MLLA calculations.

Next-to-MLLA corrections to single inclusive kt-distributions and 2-particle correlations in a jet