Abstract
We perform threshold resummation of soft gluon corrections to the total cross section and the invariant mass distribution for the process $pp \to t\bar{t}H$. The resummation is carried out at next-to-next-to-leading-logarithmic (NNLL) accuracy using the direct QCD Mellin space technique in the three-particle invariant mass kinematics. After presenting analytical expressions we discuss the impact of resummation on the numerical predictions for the associated Higgs boson production with top quarks at the LHC. We find that NLO+NNLL resummation leads to predictions for which the central values are remarkably stable with respect to scale variation and for which theoretical uncertainties are reduced in comparison to NLO predictions.
Highlights
The measurement of Higgs boson production rates in the pp → ttH process is of central importance to the LHC research program
As the top–Higgs Yukawa coupling is especially sensitive to the underlying physics, ttH production provides a vital test of the Standard Model (SM) and possibly a means to probe the beyond the SM physics indirectly
The results for the total cross section which we present below are obtained by integrating out the invariant mass distribution over the invariant mass Q
Summary
The measurement of Higgs boson production rates in the pp → ttH process is of central importance to the LHC research program. It is highly important that precise and reliable theoretical predictions are available for this process. For these reasons, a large amount of effort has been invested to improve the theoretical description of the ttH production. The next-to-leading-order (NLO) QCD, i.e. Oðα3s αÞ, predictions were obtained some time ago [9,10]. They have been newly recalculated and matched to parton showers in [11,12,13,14].
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