The Evolution of the Pion Distribution Amplitude in Next-to-Leading Order
Dieter Müller
Abstract
The evolution of the pion distribution amplitude in next-to-leading order is studied for a fixed and a running coupling constant. In both cases, the evolution provides a logarithmic modification in the endpoint region. Assuming a simple parameterization of the distribution amplitude at a scale of Q0 0.5\ GeV, it is shown numerically that these effects are large enough at Q 2\ GeV that they have to be taken into account in the next-to-leading-order analysis for exclusive processes. Alternatively, by introducing a new distribution amplitude that evolves more smoothly, this logarithmic modification can be included in the hard-scattering part of the considered process.
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