Two loop renormalization of the \(n = 2\) Wilson operator in the RI'/SMOM scheme

DOI10.1007/JHEP03(2011)109zbMath1301.81298arXiv1103.2055OpenAlexW1996733450MaRDI QIDQ475901

J. A. Gracey

Publication date: 27 November 2014

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.2055

zbMATH Keywords

QCDNLO computationsrenormalization regularization and renormalonsdeep inelastic scattering

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18) Spinor and twistor methods applied to problems in quantum theory (81R25) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Green's functions for elliptic equations (35J08) Inelastic and multichannel quantum scattering (81U35)

Related Items (9)

Moments \(n = 2\) and \(n = 3\) of the Wilson twist-two operators at three loops in the RI'/SMOM scheme ⋮ Bilinear quark operators in the RI/SMOM scheme at three loops ⋮ Basis transformation properties of anomalous dimensions for hard exclusive processes ⋮ Renormalization of three-quark operators at two loops in the RI'/SMOM scheme ⋮ Two loop renormalization of the \(n = 2\) Wilson operator in the RI'/SMOM scheme ⋮ Renormalization of non-singlet quark operator matrix elements for off-forward hard scattering ⋮ The \(\rho\)-meson light-cone distribution amplitudes from lattice QCD ⋮ Three loop renormalization of 3-quark operators in QCD ⋮ Three-loop vertex integrals at symmetric point

Uses Software

• GiNaC
• Mincer
• FORM
• Reduze

Cites Work

• Two loop renormalization of the \(n = 2\) Wilson operator in the RI'/SMOM scheme
• \texttt{Reduze} -- Feynman integral reduction in \texttt{C++}
• Renormalization of bilinear quark operators for the chirally improved lattice Dirac operator
• On the equivalence of renormalizations in standard and dimensional regularizations of 2D four-fermion interactions
• Three-loop calculation of the anomalous field dimension in the full four-fermion \(U_N\)-symmetric model
• Three loop anomalous dimension of the second moment of the transversity operator in the \(\overline{MS}\) and \(RI^{\prime}\) schemes
• Calculation of moments of structure functions
• Renormalisation and off-shell improvement in lattice perturbation theory
• Introduction to the GiNaC framework for symbolic computation within the \(\text{C}^{++}\) programming language
• Remarks on the gauge dependence of the RI/MOM renormalization procedure
• Automatic Feynman graph generation
• Three loop anomalous dimension of non-singlet quark currents in the \(RI^\prime\) scheme
• A technique for calculating the \(\gamma\)-matrix structures of the diagrams of a total four-fermion interaction with infinite number of vertices in \(d=2+ \varepsilon\) dimensional regularization
• Non-perturbative renormalization of quark bilinear operators with \(N_{f} = 2\) (tmQCD) Wilson fermions and the tree-level improved gauge action
• HIGH-PRECISION CALCULATION OF MULTILOOP FEYNMAN INTEGRALS BY DIFFERENCE EQUATIONS
• Recursive algorithm for evaluating vertex-type Feynman integrals
• Renormalization

This page was built for publication: Two loop renormalization of the \(n = 2\) Wilson operator in the RI'/SMOM scheme