Tensor structure function $b_{1}^{d}(x,Q^{2})$ of the deuteron at NLO and NNLO at small-x

Abstract

The precision of the contemporary experimental data demands that the parton distribution functions (PDF’s) should be corrected at least up to next-to-leading order (NLO) and preferably up to next-to-next-to-leading order (NNLO). A general form of tensor structure function \(b_{1}^{d}(x,Q^{2})\) of the deuteron at NLO and NNLO is obtained by using the solution of Dokshitzer, Gribov, Lipatov, Altarelli, Parisi (DGLAP) equation for singlet structure function at small-x. Results are compared with HERA Experiment data.