Threshold enhanced cross sections for colorless productions

Abstract

We study the threshold effect for neutral and charged Drell-Yan productions, associated production of Higgs boson with a massive vector boson and Higgs production in bottom quark annihilation at LHC to the third order in QCD. Using the third order soft-virtual results for these processes and exploiting the universality of the threshold logarithms, we extract the process-dependent coefficients for these processes and resum large threshold logarithms to next-to-next-to-next-to leading logarithmic (N${}^3$LL) accuracy. By matching our results to the recently available N${}^3$LO results, we provide the most precise theoretical predictions for these processes. We present numerical results for invariant mass distribution and total production cross-sections. We find the conventional scale uncertainties of about $0.4\%$ at N${}^3$LO level in the fixed order results get reduced to as small as less than $0.1\%$ at N${}^3$LO+N${}^3$LL level in the high invariant mass region.

26 pages, 20 figures and 6 tables

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