Higher-order behaviour of two-point current correlators

Author(s)
Matthias Jamin
Abstract

Estimates of higher-order contributions for perturbative series in QCD, in view of their asymptotic nature, are delicate, though indispensable for a reliable error assessment in phenomenological applications. In this work, the Adler function and the scalar correlator are investigated, and models for Borel transforms of their perturbative series are constructed, which respect general constraints from the operator product expansion and the renormalisation group. As a novel ingredient, the QCD coupling is employed in the so-called C-scheme, which has certain advantages. For the Adler function, previous results obtained directly in the (MS) over bar scheme are supported. Corresponding results for the scalar correlation function are new. It turns out that the substantially larger perturbative corrections for the scalar correlator in (MS) over bar are dominantly due to this scheme choice, and can be largely reduced through more appropriate renormalisation schemes, which are easy to realise in the C-scheme.

Organisation(s)
Particle Physics
Journal
European Physical Journal. Special Topics
Volume
230
Pages
2609–2624
No. of pages
16
ISSN
1951-6355
DOI
https://doi.org/10.1140/epjs/s11734-021-00266-y
Publication date
08-2021
Peer reviewed
Yes
Austrian Fields of Science 2012
103012 High energy physics
Keywords
Portal url
https://ucris.univie.ac.at/portal/en/publications/higherorder-behaviour-of-twopoint-current-correlators(da6a1202-3658-4445-ab6a-6165dd5c3664).html