Three loop anomalous dimension of the second moment of the transversity operator in the \(\overline{MS}\) and \(RI^{\prime}\) schemes

DOI10.1016/S0550-3213(03)00543-1zbMath1059.81577arXivhep-ph/0306163OpenAlexW3101379175MaRDI QIDQ1404880

J. A. Gracey

Publication date: 24 August 2003

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-ph/0306163

zbMATH Keywords

\(O(1/N_f)\) critical exponentnon-singlet twist-2 operator

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15)

Related Items

Anomalous dimensions of high-spin operators beyond the leading order ⋮ Off-forward anomalous dimensions of non-singlet transversity operators ⋮ Basis transformation properties of anomalous dimensions for hard exclusive processes ⋮ Three-loop anomalous dimension of the non-singlet transversity operator in QCD ⋮ Four loop anomalous dimension of the second moment of the non-singlet twist-2 operator in QCD ⋮ Two loop renormalization of the \(n = 2\) Wilson operator in the RI'/SMOM scheme

Uses Software

• Mincer
• FORM

Cites Work

• Renormalisation and off-shell improvement in lattice perturbation theory
• Automatic Feynman graph generation
• HARMONIC POLYLOGARITHMS
• Renormalization