Abstract
The soft gluon resummation effect in the Higgs boson plus two-jet production at the LHC is studied by applying the transverse momentum dependent factorization formalism. The large logarithms, introduced by the small total transverse momentum of the Higgs boson plus two-jet final state system, are resummed to all orders in the expansion of the strong interaction coupling with the accuracy of Next-to-Leading Logarithm order. This significantly improves the theoretical prediction. We also compare our result with the prediction of the Monte Carlo event generator Pythia8, and find noticeable difference in the distributions of the total transverse momentum and the azimuthal angle correlations of the final state Higgs boson and two-jet system, when applying similar kinematic cuts used in the LHC data analysis. This difference is large enough to affect the measurement of Higgs boson coupling to the vector boson at the future High luminosity LHC.
Highlights
After the discovery of Higgs boson at the CERN Large Hadron Colllider (LHC) [1,2], determining its properties has become one of the most important tasks for the high energy physics community
We have applied the TMD resummation theorem to study the production of the Higgs boson associated with two inclusive jets at the LHC
Our work provides a framework for applying the TMD resummation calculation to other 2 → 3 scattering processes
Summary
After the discovery of Higgs boson at the CERN Large Hadron Colllider (LHC) [1,2], determining its properties has become one of the most important tasks for the high energy physics community It requires a careful comparison between the experimental measurements of various Higgs boson production and decay channels and the Standard Model (SM) predictions. Higgs and the two final state jets are sensitive to the production mechanisms Such q⊥ distributions are strongly dependent on the soft gluon radiations, especially in the small q⊥ region. Since the effect of soft gluon radiations is determined by the color structures of the scattering processes, and the Higgs boson GF and VBF production mechanisms in this channel have different color structures, their q⊥ distributions will peak at the different values. For the first time, provides an important test on the validity of the commonly used MC event generators, and brings the accuracy of the theoretical prediction into the Next-to-Leading Logarithm (NLL) level
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