“…However, the precise SIDIS data, recently published by COMPASS Collaboration [11], show almost one order of magnitude discrepancy between the data and the leading order (LO) theoretical prediction for the region where P h T ∼ Q and z h are large [17], and the next-to-leading order (NLO) corrections provide very little help to reduce this discrepancy [17,18]. Soft gluon resummation does help enhance the prediction of theoretical calculations for the high P h T region, but, not enough to make up the order of magnitude difference [19,20]. Although the P h T -integrated cross section, which is dominated by small-P h T regime, has been well described within the collinear factorization, a successful description of the full P h T -distribution is critically important for understanding QCD dynamics and extracting the multidimensional partonic structure of the nucleon.…”