Higher-Twist Contribution to Pion Structure Function: 4-Fermi Operators

Details Higher-Twist Contribution to Pion Structure Function: 4-Fermi Operators Higher-Twist Contribution to Pion Structure Function: 4-Fermi Operators

1999-08-12

arxiv.org/abs/hep-lat/9908011v3

Nucl.Phys.B570:393-406,2000

Physics

High Energy Physics

High Energy Physics - Lattice

Version to appear in Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(99)00815-9

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 $F_2^{\pi^+} + F_2^{\pi^-} - 2 F_2^{\pi^0}$ 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 $\bar{\rm{MS}}$ scheme using the 't Hooft-Veltman prescription for $\gamma_5$, taking particular care of mixing effects. The contribution is found to be of $O(f_\pi^2/Q^2)$, relative to the leading contribution to the moment of $F_2^{\pi^+}$.

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