Abstract
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^{\mathrm{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^{\mathrm{veto}} $ and jet radius R, respectively. When $ p_T^{\mathrm{veto}} $ = 25GeV and R=0.4(0.5), theresummationeffectsreducethescaleuncertaintiesoftheNext-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%.
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