Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-01-10
Phys.Rept. 364 (2002) 247-357
Physics
High Energy Physics
High Energy Physics - Phenomenology
125 pages, to appear in Physics Reports, eqs. (4.11), (4.77), (4.79) and (C.3) corrected, references and note added
Scientific paper
10.1016/S0370-1573(02)00017-0
In this review some recent multi-loop results obtained in the framework of perturbative Quantum Chromodynamics (QCD) and Quantum Electrodynamics (QED) are discussed. After reviewing the most advanced techniques used for the computation of renormalization group functions, we consider the decoupling of heavy quarks. In particular, an effective method for the evaluation of the decoupling constants is presented and explicit results are given. Furthermore the connection to observables involving a scalar Higgs boson is worked out in detail. We review the radiative corrections of a Higgs boson into gluons and quarks and present explicit results up to order $\alpha_s^4$ and $\alpha_s^3$, respectively. In this review special emphasis is put on the applications of asymptotic expansions. A method is described which combines expansion terms of different kinematical regions with the help of conformal mapping and Pad\'e approximation. This method allows us to proceed beyond the present scope of exact multi-loop calculations. As far as physical processes are concerned, we review the computation of three-loop current correlators in QCD taking into account the full mass-dependence. In a further application four-loop diagrams are considered which contribute to the order $\alpha^2$ QED corrections to the $\mu$ decay. Finally the calculation of the three-loop relation between the $\bar{\rm MS}$ and on-shell quark mass definitions is presented. To complete the presentation, some technical details are presented in the Appendix, where also explicit analytical results are listed.
No associations
LandOfFree
Results and Techniques of Multi-Loop Calculations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Results and Techniques of Multi-Loop Calculations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Results and Techniques of Multi-Loop Calculations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-201208