Abstract
We consider Higgs boson pair production via gluon fusion in hadronic collisions. We report the calculation of the transverse-momentum (q T ) distribution of the Higgs boson pair with top-quark mass (M t ) effects fully taken into account. At small values of q T we resum the logarithmically-enhanced perturbative QCD contributions up to next-to-leading logarithmic (NLL) accuracy. At intermediate and large values of q T we consistently combine resummation with the \( \mathcal{O}\left({\alpha}_S^3\right) \) fixed-order results. After integration over q T , we recover the next-to-leading order (NLO) result for the inclusive cross section with full dependence on M t . We present illustrative numerical results at LHC energies, together with an estimate of the corresponding perturbative uncertainties, and we study the impact of the top-quark mass effects.
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Ferrera, G., Pires, J. Transverse-momentum resummation for Higgs boson pair production at the LHC with top-quark mass effects. J. High Energ. Phys. 2017, 139 (2017). https://doi.org/10.1007/JHEP02(2017)139
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DOI: https://doi.org/10.1007/JHEP02(2017)139