Higher-order behaviour of two-point current correlators

Autor(en)

Matthias Jamin

Abstrakt

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(en)

Teilchenphysik

Journal

European Physical Journal. Special Topics

Band

230

Seiten

2609–2624

Anzahl der Seiten

16

ISSN

1951-6355

Publikationsdatum

08-2021

Peer-reviewed

Ja

ÖFOS 2012

103012 Hochenergiephysik

Schlagwörter

ASJC Scopus Sachgebiete

Physics and Astronomy(all), Materials Science(all), Physical and Theoretical Chemistry

Link zum Portal

https://ucris.univie.ac.at/portal/de/publications/higherorder-behaviour-of-twopoint-current-correlators(da6a1202-3658-4445-ab6a-6165dd5c3664).html