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

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Autor(es):
Boito, Diogo ; Hornung, Dirk ; Jamin, Matthias
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: Journal of High Energy Physics; v. N/A, n. 12, p. 17-pg., 2015-12-15.
Resumo

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)

Processo FAPESP: 14/50683-0 - Determinação precisa de parâmetros da QCD
Beneficiário:Diogo Rodrigues Boito
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado