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arXiv · 2301.01806

Renormalon-chain contributions to two-point correlators of nonlocal quark currents

S. V. Mikhailov·N. Volchanskiy
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Abstract

We calculate, within massless QCD, a two-point correlator of nonlocal (composite) vector quark currents with arbitrary-length chains of the simplest fermion loops being inserted into gluon lines. Within the large $n_f$ (or large $\beta_0$) approximation, the correlator defines a perturbative contribution to the leading-twist distribution amplitudes for light mesons. Our results are consistent with a number of special cases in the literature. We consider functionals of the correlator, which are important for the phenomenology, and their properties as function series.

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S. V. Mikhailov, N. Volchanskiy. 2023-01-04. Renormalon-chain contributions to two-point correlators of nonlocal quark currents. https://doi.org/10.1134/s1547477123030470

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