Comparison of analytical solution of DGLAP equations for \(F_2^{\text{NS}}(x,t)\) at small \(x\) by two methods (Q903881)

Summary: The DGLAP equation for the nonsinglet structure function \(F_2^{\text{NS}}(x,t)\) at LO is solved analytically at low \(x\) by converting it into a partial differential equation in two variables: Bjorken \(x\) and \(t\) (\(t=\ln(Q^2/\Lambda^2)\)) and then solved by two methods: Lagrange's auxiliary method and the method of characteristics. The two solutions are then compared with the available data on the structure function. The relative merits of the two solutions are discussed calculating the chi-square with the used data set.