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• W1454243653 abstract "We find that the evolution equation for the three-particle quark-gluon $B$-meson light-cone distribution amplitude (DA) of subleading twist is completely integrable in the large ${N}_{c}$ limit and can be solved exactly. The lowest anomalous dimension is separated from the remaining, continuous spectrum by a finite gap. The corresponding eigenfunction coincides with the contribution of quark-gluon states to the two-particle DA ${ensuremath{phi}}_{ensuremath{-}}(ensuremath{omega})$ so that the evolution equation for the latter is the same as for the leading-twist DA ${ensuremath{phi}}_{+}(ensuremath{omega})$ up to a constant shift in the anomalous dimension. Thus, ``genuine'' three-particle states that belong to the continuous spectrum effectively decouple from ${ensuremath{phi}}_{ensuremath{-}}(ensuremath{omega})$ to the leading-order accuracy. In turn, the scale dependence of the full three-particle DA turns out to be nontrivial so that the contribution with the lowest anomalous dimension does not become leading at any scale. The results are illustrated on a simple model that can be used in studies of $1/{m}_{b}$ corrections to heavy-meson decays in the framework of QCD factorization or light-cone sum rules." @default.
• W1454243653 created "2016-06-24" @default.
• W1454243653 creator A5001992493 @default.
• W1454243653 creator A5011929538 @default.
• W1454243653 creator A5090743929 @default.
• W1454243653 date "2015-10-28" @default.
• W1454243653 modified "2023-10-16" @default.
• W1454243653 title "Evolution equation for the higher twist<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>B</mml:mi></mml:math>-meson distribution amplitude" @default.
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• W1454243653 doi "https://doi.org/10.1103/physrevd.92.074044" @default.
• W1454243653 hasPublicationYear "2015" @default.
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