Unintegrated Parton Distributions Functions. From Heavy Quarks to Non photonic Electrons

We discuss production of non photonic electrons in proton-proton scattering at RHIC. We have calculated the inclusive cross section of heavy quarks, heavy mesons and electrons/positrons production in proton-proton and proton-antiproton collisions. The calculations are performed using an approach, based on the unintegrated parton distributions functions (UPDFs). In the first step we have calculated the single spectra of heavy quarks and antiquarks. In the next step to obtain the single particle spectra of mesons from those of quarks/antiquarks we used a standard hadronization procedure with Peterson and BCFY fragmentation functions. We find the semileptonic decay functions by fitting to recent data of the Cleo and Barb collaborations. Finally we have calculated inclusive spectra of non photonic electrons/positrons for RHIC energy and compared with experimental data measured recently by the Phenix collaboration at RHIC.