论文信息 - The 4-loop quark mass anomalous dimension and the invariant quark mass

The 4-loop quark mass anomalous dimension and the invariant quark mass

We present the analytical calculation of the four-loop quark mass anomalous dimension in Quantum Chromodynamics within the minimal subtraction scheme. On the basis of this result we find that the so-called invariant quark mass is a very good reference mass for the accurate evolution of the running MS quark mass in phenomenological applications. We also obtain for the first time a complete fourth-order perturbative QCD expression for a physical quantity, the total Higgs boson decay rate into hadrons, and analyze the infrared fixed point for this case.

J.A.M. Vermaseren | T. V. Ritbergen | J. Vermaseren | S. A. Larin | T. van Ritbergen

[1] Stevenson,et al. QCD perturbation theory at low energies. , 1992, Physical review letters.

[2] A. Buras,et al. Deep-inelastic scattering beyond the leading order in asymptotically free gauge theories , 1978 .

[3] K. Chetyrkin,et al. Second-order QCD corrections to scalar and pseudoscalar Higgs decays into massive bottom quarks , 1996 .

[4] J. Collins. Structure of Counterterms in Dimensional Regularization , 1974 .

[5] G. Hooft,et al. Regularization and Renormalization of Gauge Fields , 1972 .

[6] S. A. Larin,et al. Renormalization scheme dependence in e+e− annihilation and τ-lepton decay at the next-to-next-to-leading order of perturbative QCD , 1991 .

[7] Gerard 't Hooft,et al. Dimensional regularization and the renormalization group , 1973 .

[8] Kataev,et al. Scheme dependence of the next-to-next-to-leading QCD corrections to Gamma tot(H0-->hadrons) and the spurious QCD infrared fixed point. , 1991, Physical review. D, Particles and fields.

[9] P. Nogueira. Automatic Feynman graph generation , 1993 .

[10] P. Stevenson. Optimized Perturbation Theory , 1981 .

[11] G. Grunberg. Renormalization-scheme-invariant QCD and QED: The method of effective charges , 1984 .