Higher Twist in Electroproduction: Flavor Non-Singlet QCD Evolution

Abstract

We present results for the one loop anomalous dimension matrix of flavor non-singlet twist-4 operators of lowest spin that contribute to the leading moment of the $F_2$ structure function in deep inelastic electron-nucleon scattering. We analyze the flavor structure of the anomalous dimension matrix and decompose the leading moment of $F_2$ into separate flavor channels. In addition to building on previous work with higher-twist operators, these results can provide a benchmark for future work that generalizes to include the higher moments as well. We include non-perturbative input from the lattice and phenomenological estimates of the twist-4 matrix elements and estimate the twist-4 contributions to the leading moment of $F_2$. The results suggest that the overall twist-4 contribution may be suppressed due to either cancellations among the twist-4 terms or inherently small twist-4 matrix elements.

43 pages, 9 figures; Corrected typo in section 12

References in corpus (6)

• Baryon Operators of Higher Twist in QCD and Nucleon Distribution Amplitudes
• Reparameterization Invariant Collinear Operators
• Renormalization of Twist-Four Operators in QCD
• Parity-Violating Electron-Deuteron Scattering with a Twist
• Measurement of the Nucleon Structure Function F2 in the Nuclear Medium and Evaluation of its Moments
• Experimental moments of the nucleon structure function F2

Cited by in corpus (3)

• Parton Distribution Functions, ${\alpha }_s$ and Heavy-Quark Masses for LHC Run II
• Renormalization of twist-four operators in light-cone gauge
• Measurements of Non-Singlet Moments of the Nucleon Structure Functions and Comparison to Predictions from Lattice QCD for $Q^2=4$ $\mathrm{Ge}{\mathrm{V}}^2$