The method of global R* and its applications

Abstract

The global R* operation is a powerful method for computing renormalisation group functions. This technique, based on the principle of infrared rearrangement, allows to express all the ultraviolet counterterms in terms of massless propagator integrals. In this talk we present the main features of global R* and its application to the renormalisation of QCD. By combining this approach with the use of the program Forcer for the evaluation of the relevant Feynman integrals, we renormalise for the first time QCD at five loops in covariant gauges.

arXiv comment10 pages, 6 figures, contribution to the proceedings of the 13th International Symposium on Radiative Corrections (RADCOR 2017)

References in corpus (10)

• Five-Loop Running of the QCD coupling constant
• The Four-Loop QCD Beta-Function and Anomalous Dimensions
• Correlator of the quark scalar currents and Γ_{tot}(H --> hadrons) at O(α_s^3) in pQCD
• Five-loop quark mass and field anomalous dimensions for a general gauge group
• The QCD beta-function at O(1/N_f)
• Complete renormalization of QCD at five loops
• Towards the five-loop Beta function for a general gauge group
• Five-loop fermion anomalous dimension for a general gauge group from four-loop massless propagators
• Forcer, a FORM program for the parametric reduction of four-loop massless propagator diagrams
• Combinatorics of $\mathbf{R}$-, ${\mathbf{R}}^{-1}$-, and ${\mathbf{R}}^{\ast }$-operations and asymptotic expansions of feynman integrals in the limit of large momenta and masses

Cited by in corpus (1)

• Renormalization and non-renormalization of scalar EFTs at higher orders