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

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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Submitted on : Wednesday, September 28, 2022 - 3:57:54 PM
Last modification on : Tuesday, October 25, 2022 - 7:53:15 PM

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A.H. Ajjath, Hua-Sheng Shao. N$^3$LO+N$^3$LL QCD improved Higgs pair cross sections. 2022. ⟨hal-03790716⟩



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