Matter Dependence of the Three-Loop Soft Anomalous Dimension Matrix
arXiv:0901.3414 · doi:10.1103/PhysRevD.79.091501
Abstract
The resummation of soft gluon exchange for QCD hard scattering requires a matrix of anomalous dimensions, which has been computed through two loops. The two-loop matrix is proportional to the one-loop matrix. Recently there have been proposals that this proportionality extends to higher loops. One can test such proposals by computing the dependence of this matrix on the matter content in a generic gauge theory. It is shown that for the matter-dependent part the proportionality extends to three loops for arbitrary massless processes.
5 pages, 2 figures; v2 minor clarifications, references added
References in corpus (5)
- The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
- Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
- Comments on operators with large spin
- Electroweak Corrections using Effective Field Theory: Applications to the LHC
- Subleading-color contributions to gluon-gluon scattering in N=4 SYM theory and relations to N=8 supergravity