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We have calculated the Wandzura-Wilczek contribution to the twist-3 part of$\gamma^*\gamma\to 2\pi$ amplitude. It describes interaction of thelongitudinally polarized virtual photon with the real one, and it is suppressedby 1/Q, where $Q^2$ is the virtuality of the $\gamma^*$, as compared to thetwist-2 contribution. We have found that, in the Wandzura-Wilczekapproximation, factorization applies to the twist-3 amplitude.Comment: 13 pages, 4 figure

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Twist-3 contribution to the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>γ</mml:mi></mml:mrow><mml:mrow><mml:mi>*</mml:mi></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:mrow><mml:mover><mml:mrow><mml:mi>γ</mml:mi></mml:mrow><mml:mrow><mml:mo>→</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:mrow><mml:mi>π</mml:mi><mml:mi>π</mml:mi></mml:math>amplitude in the Wandzura-Wilczek approximation

Twist-3 contribution to theγ*γ→ππamplitude in the Wandzura-Wilczek approximation