Speaker
Description
For the first time, we study the differential cross section of the single inclusive ${e^ + }{e^ - }$ annihilation to the hadrons via $\gamma$-production, in the different ${k_{t}}$-factorization frameworks, using
the transverse momenta of the incoming partons, by apply the KMR and method to calculate the unintegrated parton fragmentation functions (UFFs) from the ordinary integrated one, i.e., the parton fragmentation functions (FFs). The LO sets of DSS library for the input FFs is used. The numerical results are compared with the experimental data in the different energies which are reported by the different collaborations, such as TASSO, AMY, MARK II, CELLO and Belle with the other QCD+fragmentation models. The behaviors of the normalized differential cross sections and the multiplicity versus the "transverse momentum" ($p_\bot$) are discussed. The final results demonstrate that the KMR and MRW UFFs give a good description of data and there is not much significant difference between the above three schemes. On the other hand, our results become closer to the data for the lower values of $p_\bot$ and the higher values of center of mass energies.
