Abstract
Many theories beyond the Standard Model contain extra neutral gauge boson(s), called Z' [1]. It will be interesting to probe this new gauge particle at the coming Large Hadron Collider ( LHC ) which has a 14 TeV CM energy. We discuss a few leading production processes of Z' at LHC: the Drell-Yan process, the gluon fusion, and the fermion pair associated production. The Z' production cross section is calculated in a model-independent way. As a check, the production rate of the Standard Model Z is found to agree with the known result. The one loop gluon fusion production is forbidden by Yang's theorem [2]. We explicitly carry out a loop calculation and see how this theorem works. We also obtain the analytic form of amplitude square for associated production.