Three loop MSbar transversity operator anomalous dimensions for fixed moment n <= 8
arXiv:hep-ph/0611071 · doi:10.1016/j.physletb.2006.11.006
Abstract
We compute the anomalous dimensions of the transversity operator at three loops in the MSbar scheme for fixed moment n where n <= 8. The results for the RI' renormalization scheme are also provided for an arbitrary linear covariant gauge for n <= 7.
8 latex pages
References in corpus (18)
- The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
- The Three-Loop Splitting Functions in QCD: The Singlet Case
- A General Method for Non-Perturbative Renormalization of Lattice Operators
- The three-loop QCD -function and anomalous dimensions
- Harmonic sums, Mellin transforms and Integrals
- The 3-loop QCD calculation of the moments of deep inelastic structure functions
- Renormalization and Running of Quark Mass and Field in the Regularization Invariant and MS-bar Schemes at Three and Four Loops
- The Longitudinal Structure Function at the Third Order
- Some higher moments of deep inelastic structure functions at next-to-next-to leading order of perturbative QCD
- Three loop anomalous dimension of non-singlet quark currents in the RI' scheme
- Next-to-leading Order Evolution of Transversity Distributions and Soffer's Inequality
- Quark Mass Renormalization in the $\MSbar$ and RI schemes up to the NNLO order
- Next-to-leading order Q^2-evolution of the transversity distribution h_1(x, Q^2)
- The 16th Moment of the Non--Singlet Structure Functions and to
- Three loop anomalous dimension of the second moment of the transversity operator in the MSbar and RI' schemes
- On the Anomalous Dimension of the Transversity Distribution
- Three loop anomalous dimensions of higher moments of the non-singlet twist-2 Wilson and transversity operators in the MSbar and RI' schemes
- The QCD Splitting Functions at Three Loops: Methods and Results
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- The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements
- and Heavy Flavor Contributions to Transversity at
- Three loop anomalous dimension of the non-singlet transversity operator in QCD
- The 16th moment of the three loop anomalous dimension of the non-singlet transversity operator in QCD
- Higher Order Heavy Quark Corrections to Deep-Inelastic Scattering