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Power corrections to the process $\gamma\gamma^*\to \pi\pi$ in the Light-Cone Sum Rules approach
High Energy Physics - Phenomenology · Submitted 16 Aug 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We found that above $Q^2 \sim 4$ GeV$^2$ power corrections are numerically small and the twist-2 part dominates.The amplitude can be reliably calculated in this region using models of $2 \pi$ distribution amplitudes as an input.
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The abstract, sentence by sentence
We applied QCD Light Cone Sum Rules to estimate power corrections to the helicity-conserving amplitude in the process $\gamma^*\gamma\to \pi\pi$. We found that above $Q^2 \sim 4$ GeV$^2$ power corrections are numerically small and the twist-2 part dominates.The amplitude can be reliably calculated in this region using models of $2 \pi$ distribution amplitudes as an input. We found that the magnitude of the NLO corrections depends rather strongly on the normalization of the gluonic distribution amplitude.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We applied QCD Light Cone Sum Rules to estimate power corrections to the helicity-conserving amplitude in the process $\gamma^*\gamma\to \pi\pi$. | contribution 0.72 | 0.95 | 0.10 | asserted 0.99 |
| s1 | We found that above $Q^2 \sim 4$ GeV$^2$ power corrections are numerically small and the twist-2 part dominates.The amplitude can be reliably calculated in this region using models of $2 \pi$ distribution amplitudes as an input. | result 0.90 | 0.95 | 0.74 | asserted 1.00 |
| s2 | We found that the magnitude of the NLO corrections depends rather strongly on the normalization of the gluonic distribution amplitude. | result 0.99 | 0.90 | 0.09 | asserted 1.00 |
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The paper
Original abstract
We applied QCD Light Cone Sum Rules to estimate power corrections to the helicity-conserving amplitude in the process $\gamma^*\gamma\to \pi\pi$. We found that above $Q^2 \sim 4$ GeV$^2$ power corrections are numerically small and the twist-2 part dominates.The amplitude can be reliably calculated in this region using models of $2 \pi$ distribution amplitudes as an input. We found that the magnitude of the NLO corrections depends rather strongly on the normalization of the gluonic distribution amplitude.
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