QCD decoupling at four loops

By K. Chetyrkin, J. Kuhn, C. Sturm. 2005

294 citations recorded by the source corpus.

Abstract We present the matching condition for the strong coupling constant α s ( n f ) at a heavy quark threshold to four loops in the modified minimal subtraction scheme. Our results lead to further decrease of the theoretical uncertainty of the evolution of the strong coupling constant through heavy quark thresholds. Using a low energy theorem we furthermore derive the effective coupling of the Higgs boson to gluons (induced by a virtual heavy quark) in four- and (partially) through five-loop approximation.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/4d978718cf738f2d32bd2f75551a3ce8de5f4b13

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In Nuclear and High Energy Physics

Citations in the corpus

PDF4LHC recommendations for LHC Run II (2015, background): “[137], currently known up to four loops in QCD.”
Higgs production in gluon fusion at next-to-next-to-leading order QCD for finite top mass (2009, background): “with H the Higgs field, Gμν the gluonic field strength tensor, v = 246 GeV the vacuum expectation value of the Higgs field, and C1 a perturbatively evaluated Wilson coefficient (see, e.g., [6, 7 ]).”
Higgs boson gluon–fusion production at threshold in N3LO QCD (2014, background): “4) with V = N2 c − 1 and Nc the number of SU(Nc) colours, and C ≡ C(μ 2) and αs ≡ αs(μ 2) denote the Wilson coefficient [15] and the strong coupling constant, evaluated at”
Soft triple-real radiation for Higgs production at N3LO (2013, unknown): “[79–81].”
Effective Lagrangian for a light Higgs-like scalar (2013, background): “16), the existing four-loop calculations of ceff [86–89] and κsoft [90–94] allow one to include the QCD corrections up to N 3LO.”
FLAG Review 2019 (2019, background): “with [668, 670, 675]”
High precision determination of the gluon fusion Higgs boson cross-section at the LHC (2016, background): “5), which admits itself a perturbative expansion in the strong coupling [17, 20, 21],”
Automated event generation for loop-induced processes (2015, background): “where H is the Higgs field, Gμν is the gluon field strength tensor and C is the Wilson coefficient (known up to N4LO) [68–70].”
Finite top mass effects for hadronic Higgs production at next-to-next-to-leading order (2009, background): “where v = 246 GeV and the Wilson coefficient C1 is meanwhile known through O(α(5)s) [24, 25, 26].”