Four-loop decoupling relations for the strong coupling
By Y. Schröder, Matthias Steinhauser. 2005
303 citations recorded by the source corpus.
We compute the matching relation for the strong coupling constant within the framework of QCD up to four-loop order. This allows a consistent five-loop running (once the β function is available to this order) taking into account threshold effects. As a side product we obtain the effective coupling of a Higgs boson to gluons with five-loop accuracy.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/efa0b45dd52d0f54afab75266db4e3256dc1addd
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In Nuclear and High Energy Physics
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Citations in the corpus
- 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].”
- FLAG Review 2019 (2019, background): “For example, one considers the MS scheme, matches the 3-flavour theory to the 4-flavour theory at a scale given by the charm-quark mass [668–670], runs with the 5-loop β-function [168, 671–674] of the 4-flavour theory to a scale given by the b-quark mass, and there matches to the 5-flavour theory, a”
- 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].”
- Higgs production in gluon fusion at next-to-next-to-leading order QCD for finite top mass (2009, unknown): “[6, 7]).”
- 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.”
- High precision determination of the gluon fusion Higgs boson cross-section at the LHC (2016, methodology): “5), which admits itself a perturbative expansion in the strong coupling [17, 20, 21],”