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

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arxiv hep-ph/0503045 v3 pith:4BKMPOSI submitted 2005-03-04 hep-ph

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

classification hep-ph
keywords two-loopevolutionmesonrenormalization-groupamplitudedistributiongrouptransformations
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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