2009/08/12 by V. M. Braun, A. N. Manashov, J. Rohrwild · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal map #Conformal symmetry #Feynman diagram #Lorentz transformation #Mathematical analysis #Mathematical physics #Mathematics #Momentum (technical analysis) #Operator (biology) #Particle physics #Particle physics theoretical and experimental studies #Parton #Physics #Position and momentum space #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Renormalization #Renormalization group #Symmetry (geometry) #Twist #hep-ph #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2009.10.005
published as Nucl.Phys.B826:235-293,2010 · 64 pages
arxiv created 2009/08/12 · openalex publication_date 2009/10/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Extending the work by Bukhvostov, Frolov, Lipatov and Kuraev (BFLK) on the renormalization of quasipartonic operators we derive a complete set of two-particle renormalization group kernels that enter QCD evolution equations to twist-four accuracy. It is shown that the 2->2 evolution kernels which involve ``non-partonic'' components of field operators, and, most remarkably, also 2->3 kernels do not require independent calculation and can be restored from the known results for quasipartonic operators using conformal symmetry and Lorentz transformations. The kernels are presented for the renormalization of light-ray operators built of chiral fields in a particular basis such that the conformal symmetry is manifest. The results can easily be recast in momentum space, in the form of evolution equations for generalized parton distributions.