One loop corrections on fragmentation function of 1S wave charmed mesons

We present the contribution of the next to leading order (NLO) corrections in fragmentation a c-quark to 1S wave charmed mesons. These corrections are calculated by using the dimensional regularization method. We use two slicing methods that allow the phase space integrals to be evaluated in 4 dimensions. Technical details are discussed about virtual and real corrections in this scheme. Our numerical calculations show the NLO corrections to D mesons fragmentation function (FF) enhance the fragmentation probability (FP). The production ratio of vector mesons D⁎ and D+⁎ to all states is estimated. At NLO, it is obtained a bit smaller than the one at LO. Finally our analytic results are compared with available experimental data for D0 and D+⁎ mesons.