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.

40 pages, 6 figures, 2 tables. v2: journal version (minor corrections wrt v1)

References in corpus (33)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• LHAPDF6: parton density access in the LHC precision era
• Parton distributions in the LHC era: MMHT 2014 PDFs
• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• Higgs boson gluon-fusion production in N3LO QCD
• A portrait of the Higgs boson by the CMS experiment ten years after the discovery
• A detailed map of Higgs boson interactions by the ATLAS experiment ten years after the discovery
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• Minimal Extension of the Standard Model Scalar Sector
• The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole
• Full top quark mass dependence in Higgs boson pair production at NLO
• Higher-Order threshold effects to inclusive processes in QCD
• Top-quark mass effects in double and triple Higgs production in gluon-gluon fusion at NLO
• The Two-loop Anomalous Dimension Matrix for Soft Gluon Exchange
• Virtual corrections to Higgs boson pair production in the large top quark mass limit
• Threshold resummation at N${}^3$LL accuracy and soft-virtual cross sections at N${}^3$LO
• Bootstrapping the QCD soft anomalous dimension
• The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements
• N${}^3$LO Higgs and Drell-Yan production at threshold: the one-loop two-emission contribution
• Differential Higgs Boson Pair Production at Next-to-Next-to-Leading Order in QCD
• Probing the trilinear Higgs boson coupling in di-Higgs production at NLO QCD including parton shower effects
• Physics at a 100 TeV pp collider: Higgs and EW symmetry breaking studies
• Higgs-Pair Production via Gluon Fusion at Hadron Colliders: NLO QCD Corrections
• Transverse Parton Distribution and Fragmentation Functions at NNLO: the Gluon Case
• Effective Multi-Higgs Couplings to Gluons
• Higgs boson contribution to the leading two-loop Yukawa corrections to $gg\to HH$
• Transverse-momentum resummation for Higgs boson pair production at the LHC with top-quark mass effects
• Top-Yukawa-induced Corrections to Higgs Pair Production
• Real-virtual corrections to Higgs boson pair production at NNLO: three closed top quark loops
• The Higgs boson Turns Ten
• Gegenbauer's Twin

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• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
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• QCD corrections to Higgs boson pair production and decay to the $b\bar{b}{\tau }^{+}{\tau }^{-}$ final state
• Next to Soft Threshold Resummation for $VH$ Production
• Investigating Higgs self-interaction through di-Higgs plus jet production
• Threshold resummation for $Z$-boson pair production at NNLO+NNLL
• Higgs pair production in gluon fusion to higher orders in Higgs Effective Field Theory
• Fully differential Higgs boson pair production at N${}^3$LO with top quark mass effects
• Higgs-Pair Production via Gluon Fusion: Top-Yukawa- and light-quark-induced electroweak Corrections