Threshold enhanced cross sections for colorless productions
Goutam Das, Chinmoy Dey, M. C. Kumar, Kajal Samanta
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 the Large Hadron Collider 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 (${\mathrm{N}}^{3}\mathrm{LL}$) accuracy. By matching our results to the recently available ${\mathrm{N}}^{3}\mathrm{LO}$ 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 ${\mathrm{N}}^{3}\mathrm{LO}$ level in the fixed order results get reduced to as small as less than 0.1% at ${\mathrm{N}}^{3}\mathrm{LO}+{\mathrm{N}}^{3}\mathrm{LL}$ level in the high invariant mass region.