Four-loop β function and mass anomalous dimension in dimensional reduction | Zendy

Robert Harlander | Zendy; D.R.T. Jones | Zendy; Philipp Kant | Zendy; L. Mihaila | Zendy; Matthias Steinhauser | Zendy

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Four-loop β function and mass anomalous dimension in dimensional reduction

Author(s) -

Robert Harlander,

D.R.T. Jones,

Philipp Kant,

L. Mihaila,

Matthias Steinhauser

Publication year - 2006

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2006/12/024

Subject(s) - yukawa potential , physics , particle physics , scalar (mathematics) , renormalization , coupling constant , quark , supersymmetry , vertex (graph theory) , quantum chromodynamics , dimensional reduction , mathematical physics , coupling (piping) , quantum electrodynamics , mathematics , graph , geometry , discrete mathematics , mechanical engineering , engineering

Within the framework of QCD we compute renormalization constants for thestrong coupling and the quark masses to four-loop order. We apply the DR-barscheme and put special emphasis on the additional couplings which have to betaken into account. This concerns the epsilon-scalar--quark Yukawa coupling aswell as the vertex containing four epsilon-scalars. For a supersymmetric YangMills theory, we find, in contrast to a previous claim, that the evanescentYukawa coupling equals the strong coupling constant through three loops asrequired by supersymmetry.Comment: 15 pages, fixed typo in Eq. (18

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