Higher-twist contribution to pion structure function: 4-Fermi operators

1999/08/31 by S. Capitani, M. Göckeler, R. Horsley +6 · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph

paper · pdf · doi:10.1016/s0550-3213(99)00815-9

published as Nucl.Phys.B570:393-406,2000 · Version to appear in Nucl. Phys. B

arxiv created 1999/12/30 · openalex publication_date 2000/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We present quenched lattice QCD results for the contribution of higher-twist operators to the lowest non-trivial moment of the pion structure function. To be specific, we consider the combination F₂^π+ + F₂^π- - 2 F₂^π0 which has I = 2 and receives contributions from 4-Fermi operators only. We introduce the basis of lattice operators. The renormalization of the operators is done perturbatively in the \rmMS scheme using the 't Hooft-Veltman prescription for γ₅, taking particular care of mixing effects. The contribution is found to be of O(f_π²/Q²), relative to the leading contribution to the moment of F₂^π+.

Citations

• πandρstructure functions from lattice QCD
• Matrix elements of four-fermion operators with quenched Wilson fermions
• Scaling of nonperturbativelyO(a)<mml:mn/>-improved Wilson fermions: Hadron spectrum, quark masses, and decay constants
• A systematic study of power corrections from world deep inelastic scattering measurements
• Towards a non-perturbative calculation of DIS Wilson coefficients

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• Examination of higher-order twist contributions in parity-violating deep-inelastic electron-deuteron scattering