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Reconciling the FOPT and CIPT Predictions for the Hadronic Tau Decay Rate
by Miguel A. Benitez-Rathgeb, Diogo Boito, Andre H. Hoang, Matthias Jamin
Submission summary
| Authors (as registered SciPost users): | Andre Hoang |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2111.09614v1 (pdf) |
| Date accepted: | 2024-12-13 |
| Date submitted: | 2021-11-19 21:15 |
| Submitted by: | Hoang, Andre |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | 16th International Workshop on Tau Lepton Physics (TAU2021) |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Phenomenological |
Abstract
In a recent work it was suggested that the discrepancy observed in the perturbation series behavior of the $\tau$ hadronic decay rate determined in the FOPT and CIPT approaches can be explained from a different infrared sensitivity inherent to both methods, assuming that the major source of the discrepancy is the asymptotic behavior of the series related to the gluon condensate renormalon. This implies that the predictions of both methods may be reconciled in infrared subtracted perturbation theory. In this talk we explore this implication concretely in the large-$\beta_0$ approximation, where the perturbation series is known to all orders, using a renormalon-free scheme for the gluon condensate.
Current status:
Editorial decision:
For Journal SciPost Physics Proceedings: Publish
(status: Editorial decision fixed and (if required) accepted by authors)
Reports on this Submission
Report #1 by Swagato Banerjee (Referee 1) on 2024-12-1 (Invited Report)
Report
The discrepancy between Fixed Order Perturbation Theory (FOPT) and Contour Improved Perturbation Theory (CIPT) in calculating the hadronic tau decay rate are discussed. This disparity arises due to differing infrared (IR) sensitivities, primarily related to the gluon-condensate renormalon. A renormalon-free scheme for the gluon condensate is proposed, which removes the IR sensitivity and aligns the predictions of both methods. Large-β0 approximation shows improved convergence and consistency in perturbation series, with implications for precision analyses in quantumchromodynamics (QCD).
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Publish (surpasses expectations and criteria for this Journal; among top 10%)