Resummation prediction on Higgs and vector boson associated production with a jet veto at the LHC

We investigate the resummation effects for the SM Higgs and vector boson associated production at the LHC with a jet veto in soft-collinear effective theory using "collinear anomalous' formalism. We calculate the jet vetoed invariant mass distribution and the cross section for this process at Next-to-Next-to-Leading-Logarithmic level, which are matched to the QCD Next-to-Leading Order results, and compare the differences of the resummation effects with different jet veto p_T^veto and jet radius R. Our results show that both resummation enhancement effects and the scale uncertainties decrease with the increasing of jet veto p_T^veto and jet radius R, respectively. When p_T^veto=25 GeV and R=0.4 (0.5), the resummation effects reduce the scale uncertainties of the Next-to-Leading Order jet vetoed cross sections to about 7% (6%), which lead to increased confidence on the theoretical predictions. Besides, after including resummation effects, the PDF uncertainties of jet vetoed cross section are about 7%