Programme

I.5 -- Invited, VCTP-50

Date: Tuesday, 5 August 2025

Time: 10:30 - 11:10

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

Nikolay Volchanskiy

Bogoliubov Laboratory of Theoretical Physics, Joint institute for nuclear research

We calculate ERBL evolution kernels and two-point massless QCD correlator of nonlocal composite vector and tensor quark currents with the chains of fermion one-loop radiative corrections inserted into gluon lines. The correlator depends on the Bjorken fraction $x$ related to the composite current and, under large-$\beta_0$ approximation, gives the main contributions in each order of perturbation theory. In the approximation mentioned, these contributions dominate the endpoint behavior of the leading-twist distribution amplitudes of light mesons in the framework of QCD sum rules. Building upon these results, we analyze the endpoint behavior of these distribution amplitudes for pion and longitudinally polarized $\rho$ mesons and find inequalities for their moments.

Presenter: Volchanskiy Nikolay