Small-momentum expansion of heavy-quark correlators in the large-beta(0) limit and alpha(s) extractions

Author(s)

Boito, Diogo ^{[1, 2]} ; Mateu, Vicent ^{[3, 4]} ; Rodrigues, Marcus V. ^[1]

Affiliation

^[1] Univ Sao Paulo, Inst Fis Sao Carlos, CP 369, BR-13560970 Sao Carlos, SP - Brazil

^[2] Univ Vienna, Fac Phys, Boltzmanngasse 5, A-1090 Vienna - Austria

^[3] Univ Salamanca, Dept Fis Fundamental & IUFFyM, E-37008 Salamanca - Spain

^[4] UAM CSIC, Inst Fis Teor, E-28049 Madrid - Spain

• Document type: Journal article
• Source: Journal of High Energy Physics; n. 8 AUG 6 2021.
• Web of Science Citations: 0

Abstract

We calculate the small-momentum expansion of vector, axial-vector, scalar, and pseudo-scalar heavy-quark current correlators in the large-beta(0) 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, alpha(s), 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. (AU)

• FAPESP's process: 15/20689-9 - Precise determination of fundamental QCD parameters
• Grantee: Diogo Rodrigues Boito
• Support Opportunities: Research Grants - Young Investigators Grants
• FAPESP's process: 18/14967-4 - High-precision determination of the charm and bottom quark masses
• Grantee: Diogo Rodrigues Boito
• Support Opportunities: Regular Research Grants
• FAPESP's process: 19/16957-9 - Precise determination of the C quark mass
• Grantee: Marcus Vinícius Gonzalez Rodrigues
• Support Opportunities: Scholarships in Brazil - Master