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Renormalization-group improved evolution of the meson distribution amplitude at the two-loop level

Alexander P. Bakulev·N. G. Stefanis
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Abstract

We discuss the two-loop evolution of the flavor-nonsinglet meson distribution amplitude in perturbative QCD. After reviewing previous two-loop computations, we outline the incompatibility of these solutions with the group property of the renormalization-group transformations. To cure this deficiency, we compute a correction factor for the non-diagonal part of the meson evolution equation and prove that with this modification the two-loop solution conforms with the group properties of the renormalization-group transformations. The special case of a fixed strong coupling (no Q^2 dependence) is also discussed and comparison is given to previously obtained results.

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Alexander P. Bakulev, N. G. Stefanis. 2005-06-28. Renormalization-group improved evolution of the meson distribution amplitude at the two-loop level. https://doi.org/10.1016/j.nuclphysb.2005.05.026

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