Two-loop evolution equations for light-ray operators
arXiv:1404.0863 · doi:10.1016/j.physletb.2014.05.037
Abstract
QCD in non-integer d=4-2 epsilon space-time dimensions possesses a nontrivial critical point and enjoys exact scale and conformal invariance. This symmetry imposes nontrivial restrictions on the form of the renormalization group equations for composite operators in physical (integer) dimensions and allows to reconstruct full kernels from their eigenvalues (anomalous dimensions). We use this technique to derive two-loop evolution equations for flavor-nonsinglet quark-antiquark light-ray operators that encode the scale dependence of generalized hadron parton distributions and light-cone distribution amplitudes in the most compact form.
13 pages, 1 figure
References in corpus (13)
- The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
- The Three-Loop Splitting Functions in QCD: The Singlet Case
- The Uses of Conformal Symmetry in QCD
- Baryon Distribution Amplitudes in QCD
- Broken conformal invariance and spectrum of anomalous dimensions in QCD
- Scale dependence of twist-three contributions to single spin asymmetries
- Predictions from conformal algebra for the deeply virtual Compton scattering
- Evolution kernels of skewed parton distributions: method and two-loop results
- Next-to-leading order evolution of twist-two conformal operators: The abelian case
- The equivalence of the SU(N) Yang Mills Theory with a Purely Fermionic Model
- Computation of quark mass anomalous dimension at O(1/N_f^2) in quantum chromodynamics
- Quark mass anomalous dimension at O(1/N_f^2) in QCD
- Scale invariance vs conformal invariance
Cited by in corpus (11)
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- Two-loop conformal generators for leading-twist operators in QCD
- Structure of rapidity divergences in soft factors
- Two-loop evolution equations for flavor-singlet light-ray operators
- Heavy quark expansion for heavy-light light-cone operators
- Three-loop off-forward evolution kernel for axial-vector operators in Larin's scheme
- Basis transformation properties of anomalous dimensions for hard exclusive processes
- Non-Leptonic Heavy Meson Decays - Theory Status
- QCD evolution equations from conformal symmetry