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Anomalous dimensions of four-quark operators and renormalon structure of mesonic two-point correlators

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Author(s):
Boito, Diogo ; Hornung, Dirk ; Jamin, Matthias
Total Authors: 3
Document type: Journal article
Source: Journal of High Energy Physics; v. N/A, n. 12, p. 17-pg., 2015-12-15.
Abstract

In this work, we calculate leading-order anomalous dimension matrices for dimension-6 four-quark operators which appear in the operator product expansion of flavour non-diagonal and diagonal vector and axial-vector two-point correlation functions. The infrared renormalon structure corresponding to four-quark operators is reviewed and it is investigated how the eigenvalues of the anomalous dimension matrices influence the singular behaviour of the u = 3 infrared renormalon pole. It is found that compared to the large-beta(0) approximation where at most quadratic poles are present, in full QCD at N-f = 3 the most singular pole is more than cubic with an exponent kappa approximate to 3.2. (AU)

FAPESP's process: 14/50683-0 - Accurate QCD parameter determination
Grantee:Diogo Rodrigues Boito
Support Opportunities: Scholarships in Brazil - Post-Doctoral