Abstract
We perform the threshold resummation for Higgs pair production in the dominant gluon fusion channel to next-to-next-to-leading logarithmic (NNLL) accuracy.
The calculation includes the matching to the next-to-next-to-leading order (NNLO) cross section obtained in the heavy top-quark limit, and results in an increase of the inclusive cross section up to 7% at the LHC with centre-of-mass energy E cm = 14 TeV, for the choice of factorization and renormalization scales μ F = μ R = Q, being Q the invariant mass of the Higgs pair system.
After the resummation is implemented, we estimate the theoretical uncertainty from the perturbative expansion to be reduced to about ±5.5%, plus ∼ 10% from finite top-mass effects. The resummed cross section turns out to be rather independent of the value chosen for the central factorization and renormalization scales in the usual range (Q/2, Q).
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de Florian, D., Mazzitelli, J. Higgs pair production at next-to-next-to-leading logarithmic accuracy at the LHC. J. High Energ. Phys. 2015, 53 (2015). https://doi.org/10.1007/JHEP09(2015)053
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DOI: https://doi.org/10.1007/JHEP09(2015)053