The Four-loop QCD beta-function and anomalous dimensions

By Michal Czakon. 2004

508 citations recorded by the source corpus.

Abstract The four-loop β -function of quantum chromodynamics is calculated and agreement is found with the previous result. The anomalous dimensions of the quark–gluon vertex, and quark, gluon and ghost fields are given for a general compact simple Lie group.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d45271c197f46852acae4451d830ccf3e687fc57

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In Nuclear and High Energy Physics

Citations in the corpus

Erratum: On the structure of infrared singularities of gauge-theory amplitudes (2009, background): “The new color structures would involve higher Casimir invariants such as those appearing in the four-loop β-function of non-abelian gauge theories [71, 72].”
Four Loop Massless Propagators: an Algebraic Evaluation of All Master Integrals (2010, background): “Note that, the three-loop version of Theorem 4 [72] is not enough to explain the absence of even zetas from the α(3)s contribution to Adler function and from the four-loop result for the QCD β-function [83, 79].”
SusyHD: Higgs mass Determination in Supersymmetry (2015, methodology): “(3)As for the three-loop top Yukawa threshold, the four-loop QCD corrections [33,34] to the strong coupling RGE has been used to estimate the uncertainties.”
The five-loop beta function of Yang-Mills theory with fermions (2017, methodology): “5−L F . The four-loop renormalization constant for the gauge parameter is not determined in the background ﬁeld and has to be ‘imported’. In the present k = 0 case, the terms already speciﬁed in ref. [12] would have been suﬃcient had we not performed the four-loop calculation to all powers of ξF any”
Fundamental composite dynamics: A review (2020, methodology): “For models with one species of massless fermions in a single representation of the gauge group, the beta function in the MS scheme has been derived up to four loops in [297, 298, 299], with extensions to five loops in [300, 301].”
Investigating the near-criticality of the Higgs boson (2013, unknown): “g3 full [58, 59] O(α2 3) [60, 61] O(α3 3) [62, 63] O(α4 3) [64, 65] O(α3α1,2) [66] O(α2 3αt) [67] full [68] full [69, 70]”
Higgs boson gluon–fusion production at threshold in N3LO QCD (2014, background): “The counterterm is determined completely from lower orders1 [23, 24], as well as the QCD β function [18] and the three-loop splitting functions [20].”