Abstract
We calculate the small-momentum expansion of vector, axial-vector, scalar, and pseudo-scalar heavy-quark current correlators in the large-β0 limit of QCD, extending the analysis of Grozin and Sturm beyond the vector current. Our results are used to study the higher-order behaviour of dimensionless ratios of vector and pseudo-scalar moments used for the precise extraction of the strong coupling, αs, from relativistic quarkonium sum rules and lattice data, respectively. We show that these ratios benefit from a partial cancellation of the leading renormalon singularities. Our results can guide the design of combinations of moments with improved perturbative behaviour.
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Boito, D., Mateu, V. & Rodrigues, M.V. Small-momentum expansion of heavy-quark correlators in the large-β0 limit and αs extractions. J. High Energ. Phys. 2021, 27 (2021). https://doi.org/10.1007/JHEP08(2021)027
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DOI: https://doi.org/10.1007/JHEP08(2021)027