Higgs boson gluon-fusion production in QCD at three loops.

By C. Anastasiou, Claude Duhr, Falko Dulat, F. Herzog, Bernhard Mistlberger. Physical Review Letters, 2015

604 citations recorded by the source corpus.

We present the cross section for the production of a Higgs boson at hadron colliders at next-to-next-to-next-to-leading order (N^{3}LO) in perturbative QCD. The calculation is based on a method to perform a series expansion of the partonic cross section around the threshold limit to an arbitrary order. We perform this expansion to sufficiently high order to obtain the value of the hadronic cross at N^{3}LO in the large top-mass limit. For renormalization and factorization scales equal to half the Higgs boson mass, the N^{3}LO corrections are of the order of +2.2%. The total scale variation at N^{3}LO is 3%, reducing the uncertainty due to missing higher order QCD corrections by a factor of 3.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/9d2937a9e72d90f9dd5f5e49d59b8f90e6020b33

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Citations in the corpus

NNLO QCD corrections to Higgs boson production at large transverse momentum (2016, methodology): “At N3LO, only the computation of the total cross section for Higgs boson production [15] and the exclusive H + 0j cross section (jet veto cross section, [69]) have been completed so far.”
A critical appraisal and evaluation of modern PDFs (2016, methodology): “In the effective theory based on the limit of a large top-quark mass (mt → ∞, integrating out the topquark loop, but using the full mt dependence in the Born cross section), this has led to the computation of the corresponding corrections at NNLO [245–247] and even to N3LO in QCD [106,248].”
Four-loop non-singlet splitting functions in the planar limit and beyond (2017, background): “However, computations for a number key observables at hadron colliders have been performed even at next-to-next-to-next-to-leading order (N(3)LO), including the cross section for Higgs-boson production in gluon-gluon fusion [21] and structure functions in deep-inelastic scattering (DIS) [22–25].”
Higgs boson production at hadron colliders at N3LO in QCD (2018, methodology): “[13, 14] was sufficiently conservative to cover the difference to the exact result.”
Color-kinematics duality for QCD amplitudes (2015, background): “Calculations of previously intractable processes involving high numbers of loops and legs have been successfully carried out, such as the inclusive W + 5-jet production at next-toleading order [1], or the inclusive Higgs production at (next-to)3-leading order [2].”
The full four-loop cusp anomalous dimension in N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} $$\end{do (2019, neutral): “Currently, form factors relevant for the precise determination of hadron collider observables such as the Drell-Yan or Higgs boson production cross section [15, 16] are known to third loop order [17] and the advent of the next order is apparent [18–21].”
Les Houches 2015: Physics at TeV Colliders Standard Model Working Group Report (2016, background): “Prospects for N3LOQCD corrections remain closely connected with differential Higgs and Drell-Yan production at N3LOQCD.”
Collider physics at the precision frontier (2020, methodology): “N(3)LO corrections and beyond The predictions for hadron collider cross sections beyond NNLO available to date are the N(3)LO corrections to Higgs production in gluon fusion in the HTL, for the inclusive case in the threshold approximation [16, 17] and exact [18], as well as differential in rapidity”
High precision determination of the gluon fusion Higgs boson cross-section at the LHC (2016, methodology): “Recently also the N3LO corrections have become available [57].”
Dark Matter through the Higgs portal (2019, neutral): “Recently, the N(3)LO corrections were evaluated [229] and found to lead to an additional small increase of the cross section.”
The Structure of the Proton in the LHC Precision Era (2017, methodology): “In the case of inclusive processes, for instance, the coefficient functions C(n)(z, μ(2)R, μ 2 F) are known to NNLO for Drell–Yan production [141] and top quark pair production [142], and to N3LO for Higgs boson production via gluon fusion in the limit of infinite top quark mass [143].”
PDF4LHC recommendations for LHC Run II (2015, background): “Almost all cross-sections of interest are now available at next-to-leading order (NLO), a rapidly increasing number also at next-to-next-to-leading order (NNLO), and even one, inclusive Higgs production in gluon fusion, at NNNLO [4].”