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NLO analytical solutions to the polarized parton distributions, based on the Laplace transformation
Physical Review D
By using the Laplace transformation, the analytical solutions of the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equations at the leading-order and next-to-leading-order (NLO) approximations for the gluon, singlet, and nonsinglet quark polarization inside the nucleon are obtained. At NLO approximation, a second Laplace transformation is required. Complete NLO calculations need an iteration method, which we try to employ. As an efficiently mathematical tool, we employ the Jacobidoi:10.1103/physrevd.87.114012 fatcat:j77zmbsvjvblzncvfjslbwr4tu