Searcharxiv⌕ Search
Home/Archive/arXiv

arXiv · 2611.09101

Renormalon-chain contributions to two-point correlators of nonlocal quark currents and light-meson distribution amplitudes

S. V. Mikhailov·N. Volchanskiy
View original source ↗Read source document ↗Export metadata ↓

Abstract

In the framework of QCD sum rules, we study the endpoint slopes of the leading-twist distribution amplitudes in the large-$β_0$ approximation for the pion and the longitudinally polarized $ρ$ meson. To this end, we compute the two-point massless correlator of non-local composite vector quark currents with the gluon lines dressed by chains of one-loop fermion bubbles. This correlator depends on the Bjorken fraction $x$ associated with the composite current and, within the large-$β_0$ approximation, provides the dominant contribution in each order of perturbation theory. We derive an inequality for the second Gegenbauer moments of these distribution amplitudes that agrees with predictions from lattice QCD.

Explore related subjects

hep-ph

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

S. V. Mikhailov, N. Volchanskiy. 2026-11-06. Renormalon-chain contributions to two-point correlators of nonlocal quark currents and light-meson distribution amplitudes. https://arxiv.org/abs/2611.09101

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

Pomeron Weights in QCD Processes at High Energy and the $S$-Matrix Unitarity Constraint

The pomeron topological cross-section is derived for the eikonal and the $U$-matrix unitarization schemes using a generalized representation of the scattering amplitude at high energy in an effort to examine pomeron characteristics, namely the multiplicity distribution, fluctuation, and correlation, and to reveal the impact of pomeron weights on the $pp$ multiplicity distribution. The results demonstrate that the $U$-matrix inherently incorporates a larger amount of diffraction production into the multi-pomeron vertices, yielding a larger pomerons' variability regardless of the energy range, while such fluctuations become significant only beyond a specific high-energy threshold in eikonal-like schemes. Most importantly, our findings indicate that within the $U$-matrix scheme, an increase in exchanged pomerons results in more pronounced pomeron correlations and that this correlated resummation plays a key role in enhancing multi-parton collisions. We argue that the choice of unitarization scheme is not arbitrary, as it directly dictates the statistical structure of multi-reggeon exchanges. By reflecting the composite nature of hadrons, rational alternatives to eikonal-like schemes, such as the $U$-matrix, offer a compelling theoretical foundation for modeling high-energy hadronic collisions, provided that specific formulations can be identified that strictly satisfy all mathematical and physical constraints.

hep-ph↗
arXiv2026

Two-loop renormalisation of quark and gluon fields in the SMEFT

We compute the contributions of CP-conserving operators in the dimension-six SMEFT to the two-loop renormalisation constants of quark and gluon fields in the $\overline{\textrm{MS}}$-scheme. Specifically, we consider the top-quark chromomagnetic operator and the triple gluon operator. We work with the background-field method, which allows us to extract the contribution of these operators to the two-loop running of the top mass and the strong coupling constant. We discuss in detail the mixing with the unphysical operators required for the renormalisation, and we present analytic results for the renormalisation constants of all relevant operators.

hep-ph↗
arXiv2026

Two-loop renormalisation of quark and gluon fields in the SMEFT in the on-shell scheme

We compute the contributions of CP-conserving dimension-six SMEFT operators to the two-loop renormalisation constants of quark and gluon fields in the on-shell scheme. Specifically, we consider the top-quark chromomagnetic operator and the triple gluon operator. We also compute the contribution of four-quark operators to the gluon renormalisation constant and discuss the implications for the running of the strong coupling constant.

hep-ph↗