Relation between the pole and the minimally subtracted mass in dimensional regularization and dimensional reduction to three-loop order

Abstract

We compute the relation between the pole quark mass and the minimally subtracted quark mass in the framework of QCD applying dimensional reduction as a regularization scheme. Special emphasis is put on the evanescent couplings and the renormalization of the epsilon-scalar mass. As a by-product we obtain the three-loop on-shell renormalization constants Zm(OS) and Z2(OS) in dimensional regularization and thus provide the first independent check of the analytical results computed several years ago.

22 pages

References in corpus (22)

• JaxoDraw: A graphical user interface for drawing Feynman diagrams
• RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses
• The three loop relation between the \bar {MS} and the pole quark masses
• The analytical value of the electron (g-2) at order alpha^3 in QED
• Automatized analytic continuation of Mellin-Barnes integrals
• Analytical Result for Dimensionally Regularized Massless On-shell Double Box
• Non-planar massless two-loop Feynman diagrams with four on-shell legs
• Complete Corrections of O(αα_s) to the Decay of the Z Boson into Bottom Quarks
• The relation between the $\overline{\mathrm{MS}}$ and the on-shell quark mass at order ${\alpha }_s^3$
• Regularization Dependence of Running Couplings in Softly Broken Supersymmetry
• Short Distance Mass of a Heavy Quark at Order α_s^3
• Decoupling of the $\epsilon$-scalar mass in softly broken supersymmetry
• Heavy Quark Masses from Sum Rules in Four-Loop Approximation
• The three loop on-shell renormalization of QCD and QED
• Regularization by Dimensional Reduction: Consistency, Quantum Action Principle, and Supersymmetry
• Four-loop renormalization of QCD: full set of renormalization constants and anomalous dimensions
• Multi-parameter fits to the t-tbar threshold observables at a future e+e- linear collider
• Pole masses of quarks in dimensional reduction
• Four-loop beta function and mass anomalous dimension in Dimensional Reduction
• Dimensional Reduction in Non-Supersymmetric Theories
• Dimensional Reduction applied to QCD at three loops
• Fermionic Corrections to the Three-Loop Matching Coefficient of the Vector Current

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