Correlators of vector, tensor, and scalar composite vertices of order O(αs2β0)

• Published in: The journal of high energy physics Vol. 2021; no. 2
• Main Authors: Mikhailov, S. V., Volchanskiy, N.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-02-2021; Springer Nature B.V
• Subjects: Apexes; Classical and Quantum Gravitation; Correlation analysis; Elementary Particles; High energy physics; Mathematical analysis; Mesons; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Sum rules; Tensors; NLO Computations; QCD Phenomenology
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP02(2021)197

A
bstract
We present analytical results for massless correlators of two vector, tensor, and scalar composite vertices with the Bjorken fractions
x
and
y
of order
α
s
2
β
0
of QCD. The structure of these correlators Π
V,T,S
(
x, y
;
p
2
) and properties of its main elements are discussed in detail. Special attention is paid to verifying the results and comparing them with known particular cases. We apply the correlators to evaluate radiative corrections to the distribution amplitudes of light mesons within the QCD sum rules.