Helicity evolution at small x: the single-logarithmic contribution

A bstract We calculate single-logarithmic corrections to the small- x flavor-singlet helicity evolution equations derived recently [1–3] in double-logarithmic approximation. The new part of kernel sums up powers α s ln(1 /x ), which are an important correction dominant ln 2 (1 ) summed by from at small values Bjorken and with strong coupling constant. terms arise separately either longitudinal or transverse momentum integrals. Consequently, we derive employing light-cone perturbation theory simultaneously include small-x leading-order polarized DGLAP splitting functions. further enhance calculating running kernel.