The New Investigation of Kimber–Martin–Ryskin Unintegrated Partons

Abstract

The three sets of conventional integrated parton distribution functions (PDFs) such as MSTW 2008 (Martin et al), GJR08 (Gluck et al) and CTEQ6.6 (Nadolsky et al) are used as the inputs to generate the unintegrated parton distribution functions (UPDFs) via the Kimber–Martin–Ryskin (KMR) procedure and the results are compared with each other. The UPDFs are obtained for several values of the squared transverse momentum component of parton \({(k_t^2)}\) and the longitudinal momentum fraction (x). The various aspects of the PDFs and the UPDFs ratios of GJR08 and CTEQ6.6 to MSTW 2008 are analyzed and discussed. In addition to our previous justification (Modarres and Hosseinkani in Nucl Phys A 815:40, 2009) about the stability and the reliability of KMR UPDFs, it is observed here that they are more convergent in the larger values of the scale \({k_t^2}\) (i.e. the suppression of discrepancies of different PDFs schemes) such that the UPDFs produced via the KMR approach are stable with respect to the variation of the input sets of PDFs and they also tend to a unique value by increasing the scale \({k_t^2}\).