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arxiv: 1810.08497 · v1 · pith:NYXZ45LOnew · submitted 2018-10-19 · ✦ hep-ph

Sub-leading power corrections to transition form factors of η and η^(prime) mesons from twist-six contributions

classification ✦ hep-ph
keywords correctionsoperatorspowertwist-sixbeencomparedfactorsform
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Using collinear factorization, we have calculated twist-six corrections to $\eta\gamma$ and $\eta^{\prime}\gamma$ transition form factors in QCD. Only a sub-set of light-cone operators of twist-six which can be factorized as a product of two gauge invariant operators has been considered. Resulting power corrections start as $1/Q^{4}$ but coefficients are smaller compared to their counterparts for twist-four operators. Matrix element of pseudoscalar quark densities for $u$- and $d$-quarks between vacuum and meson state, $h_{q}$, has considerable influence on the result. Results obtained by superimposing our results on those obtained in literature for leading and sub-leading power corrections for lower twists have been plotted and compared with data.

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