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A combined analysis of both $e^+\,e^-$ (LEP, SLD) and $p\,p$ (RHIC-PHENIX andLHC-ALICE) hadroproduction processes are done for the first time for the vectormeson nonet at the next-to-leading order (NLO) using a model with broken SU(3)symmetry. The transverse momentum ($p_T$) and rapidity ($y$) dependence of thedifferential cross section for $\omega$ and $\phi$ mesons of the $p\,p$ dataare also discussed. The input universal quark (valence and singlet)fragmentation functions at a starting scale of $Q_0^2=1.5$ GeV$^2$, afterevolution, have values that are consistent with the earlier analysis for$e^+\,e^-$ at NLO. However, the universal gluon fragmentation function is nowwell determined from this study with significantly smaller error bars, as the$p\,p$ hadroproduction cross section is particularly sensitive to the gluonfragmentation since it occurs at the same order as quark fragmentation, incontrast to the $e^+\,e^-$ hadroproduction process. Additional parametersinvolved in describing strangeness and sea suppression and octet-singlet mixingare found to be close to earlier analysis; in addition, a new relation betweengluon and sea suppression in $K^*$ and $\phi$ hadroproduction has beenobserved.

Fragmentation of $\omega$ and $\phi$ Mesons in $e^+ e^-$ and $p p$ Collisions at NLO