Four-loop beta function and mass anomalous dimension in Dimensional Reduction

Abstract

Within the framework of QCD we compute renormalization constants for the strong coupling and the quark masses to four-loop order. We apply the DR-bar scheme and put special emphasis on the additional couplings which have to be taken into account. This concerns the epsilon-scalar--quark Yukawa coupling as well as the vertex containing four epsilon-scalars. For a supersymmetric Yang Mills theory, we find, in contrast to a previous claim, that the evanescent Yukawa coupling equals the strong coupling constant through three loops as required by supersymmetry.

15 pages, fixed typo in Eq. (18)

References in corpus (1)

• Dimensional Reduction applied to QCD at three loops

Cited by in corpus (4)

• Updated Values of Running Quark and Lepton Masses
• Relation between the pole and the minimally subtracted mass in dimensional regularization and dimensional reduction to three-loop order
• Using Dimensional Reduction for Hadronic Collisions
• Running of ${\alpha }_s$ and $m_b$ in the MSSM