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We use comparison with recent LHCb data on single Z/\gamma^* production anddecay to lepton pairs as a vehicle to study the current status of theapplication of our approach of {\it exact} amplitude-based resummation inquantum field theory to precision QCD calculations, by realistic MC eventgenerator methods, as needed for precision LHC physics. This represents anextension of the phase space of our previous studies based on comparison withCMS and ATLAS data, as the pseudo-rapidity range measured by the LHCb forleptons in the data we study is 2.0<\eta< 4.5 to be compared with|\eta|<4.6(2.4) in our previous CMS(ATLAS) data comparison for the sameprocesses. The analyses we present here with the LHCb data thus represent animportant addition to our previous results, as it is essential that theoreticalpredictions be able to control all of the measured phase space at LHC. Thelevel of agreement between the new theory and the data continues to be a reasonfor optimism.

Interplay between IR-Improved DGLAP-CS Theory and the Precision of an NLO ME Matched Parton Shower MC in Relation to LHCb Data