Higher twist and higher order contributions to the pion electromagnetic form factor

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Abstract

The $\left( {\frac{{m_\pi ^4 }}{{(m_u + m_d )^2 Q^2 }}} \right)$ andO S 2 ) corrections to the leading term of the perturbative QCD calculation of the pion electromagnetic form factor are examined numerically. Both sets of terms provide significant corrections for values ofQ 2 between 1 and 15 GeV2/c2.

Parts of this work were done while one of us (JP) was a visitor at the national INT, the University of Maryland and TRIUMF. He is grateful to those institutions for their hospitality. We have benefitted from discussions with A. Mueller and G. Sterman. This work is supported in part by the U.S. Department of Energy.