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arXiv · 1108.5654

Nonperturbative features of the axial current

B. Z. Kopeliovich·Ivan Schmidt·M. Siddikov
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Abstract

We study the nonperturbative structure of the axial current and evaluate the two-point light-cone distribution amplitudes (DA) associated with the correlator \int dξexp(-iqξ)<0|\barψ(x)Γψ(y)J_μ^{5}(ξ)|0> within the instanton vacuum model in the leading order in O(1/N_c). Due to the built-in chiral symmetry, four of eight axial DAs are related to that for pions. Knowledge of these nonperturbative objects is important for phenomenological study of high-energy neutrino interactions and semileptonic decays of heavy quarks. We provide a code for evaluation of these DAs and an interpolation formula valid in the region Q^2 < 1 GeV^2.

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B. Z. Kopeliovich, Ivan Schmidt, M. Siddikov. 2012-11-24. Nonperturbative features of the axial current. https://doi.org/10.1016/j.nuclphysa.2013.09.009

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