| Full text | |
| Author(s): |
Benitez-Rathgeb, Miguel A.
;
Boito, Diogo
;
Hoang, Andre H.
;
Jamin, Matthias
Total Authors: 4
|
| Document type: | Journal article |
| Source: | Journal of High Energy Physics; v. N/A, n. 9, p. 44-pg., 2022-09-26. |
| Abstract | |
In a previous article, we have shown that the discrepancy between the fixed-order (FOPT) and contour-improved (CIPT) perturbative expansions for tau hadronic spectral function moments, which had affected the precision of alpha(s) determinations for many years, may be reconciled by employing a renormalon-free (RF) scheme for the gluon condensate (GC) matrix element. In addition, the perturbative convergence of spectral function moments with a sizeable GC correction can be improved. The RF GC scheme depends on an IR factorization scale R and the normalization N-g of the GC renormalon. In the present work, we use three different methods to determine N-g, yielding a result with an uncertainty of 40%. Following two recent state-of-the-art strong coupling determination analyses at O(alpha(5)(s)), we show that using the renormalon-free GC scheme successfully reconciles the results for alpha(s )(m(tau)(2)) based on CIPT and FOPT. The uncertainties due to variations of R and the uncertainty of N-g only lead to a small or moderate increase of the final uncertainty of alpha(s) (m(tau)(2)), and affect mainly the CIPT expansion method. The FOPT and CIPT results obtained in the RF GC scheme may be consistently averaged. The RF GC scheme thus constitutes a powerful new ingredient for future analyses of tau hadronic spectral function moments. (AU) | |
| FAPESP's process: | 21/06756-6 - Testing the standard model: precision QCD and muon g-2 |
| Grantee: | Diogo Rodrigues Boito |
| Support Opportunities: | Research Grants - Young Investigators Grants - Phase 2 |