Resummation Prediction on Higgs and Vector Boson Associated Production with a Jet Veto at the LHC

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 $p_T^{\mathrm{veto}}=25$ 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 $7\%$.

Comments: 22 pages, 10 figures and 2 tables; final version in JHEP