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-β 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 κ ≈ 3.2.
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ArXiv ePrint: 1510.03812
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Boito, D., Hornung, D. & Jamin, M. Anomalous dimensions of four-quark operators and renormalon structure of mesonic two-point correlators. J. High Energ. Phys. 2015, 1–17 (2015). https://doi.org/10.1007/JHEP12(2015)090
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DOI: https://doi.org/10.1007/JHEP12(2015)090