Q2evolution of chiral-odd twist-3 distributione(x,Q2)

1996/08/30 by Y. Koike, Yuji Koike, N. Nishiyama +1 · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.55.3068

published as Phys.Rev. D55 (1997) 3068-3076 · 16 pages LaTeX, 4 postscript figures

arxiv created 1996/08/30 · openalex publication_date 1997/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study the Q² dependence of the chiral-odd twist-3 distribution e(x,Q²). The anomalous dimension matrix for the corresponding twist-3 operators is calculated in the one-loop level. This study completes the calculation of the anomalous dimension matrices for all the twist-3 distributions together with the known results for the other twist-3 distributions g₂(x,Q²) and h_L(x,Q²). We also have confirmed that in the large N_c limit the Q² evolution of e(x,Q²) is wholly governed by the lowest eigenvalue of the anomalous dimension matrix which takes a very simple analytic form as in the case of g₂ and h_L.

Citations

• Asymptotic freedom in parton language
• Q2evolution of the nucleon’s chiral-odd twist-three structure function:hL(x,Q2)

Cited by

• Renormalization of chiral-even twist-3 light-cone wave functions for vector mesons in QCD