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arXiv · 2209.03914

N$^3$LO+N$^3$LL QCD improved Higgs pair cross sections

A. H. Ajjath·Hua-Sheng Shao
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Abstract

We report a new calculation of the soft-gluon threshold resummation for the Higgs boson pair production in the dominant production mode -- gluon-gluon fusion -- up to the next-to-next-to-next-to-leading logarithmic (N$^3$LL) accuracy. After matching N$^3$LL to the next-to-next-to-next-to-leading order (N$^3$LO) QCD calculation in the infinite top quark mass approximation, we show that the central values of the inclusive cross sections are quite stable with respect to N$^3$LO, while the conventional renormalisation and factorisation scale uncertainties are reduced by a factor of two, reaching to the subpercent level. Our study further consolidates the good asymptotic perturbative convergence. After combining with the full top-quark mass dependent next-to-leading order QCD results, our most advanced predictions are presented for both the inclusive total cross sections and the differential invariant mass distributions of the Higgs pair.

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A. H. Ajjath, Hua-Sheng Shao. 2023-02-10. N$^3$LO+N$^3$LL QCD improved Higgs pair cross sections. https://doi.org/10.1007/jhep02(2023)067

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