Inclusive τ Hadronic Decay Rate in a Renormalon-Free Gluon Condensate Scheme

Autor(en)

Miguel A. Benitez-Rathgeb, Diogo Boito, André H. Hoang, Matthias Jamin, Christoph Regner

Abstrakt

In a recent work by some of us it was shown that the long-standing discrepancy between the QCD perturbation series for the inclusive hadronic tau decay rate computed in the CIPT and FOPT expansion approaches can be understood from the fact that CIPT has an infrared (IR) sensitivity that it not compatible with the standard form of the operator production expansion (OPE). For concrete IR renormalon models for the QCD Adler function the resulting CIPT-FOPT discrepancy, the asymptotic separation, can be calculated analytically from the Borel representation of the CIPT series expansion. If the known perturbative corrections for the QCD Adler function at the 5-loop level already have a sizeable contribution from the asymptotic behavior related to the gluon condensate (GC) renormalon, the asymptotic separation is dominated by that renormalon. This implies that the CIPT expansion can be reconciled with FOPT, when a renormalon-free scheme for the GC is adopted. In this talk we discuss such a renormalon-free scheme for the GC, which involves perturbative subtractions in analogy to using short-distance quark mass schemes instead of the pole mass. Using a concrete realistic high-order Borel model for the Adler function consistent with the known corrections up to 5 loops and containing a sizeable GC renormalon contribution, we show that the CIPT-FOPT discrepancy can be avoided when switching to the renormalon-free GC scheme. At the same time, the perturbative convergence of τ hadronic spectral funtion moments strongly sensitive to the GC OPE corrections is considerably improved. We show that these improvements may lead to higher precision for strong coupling determinations.

Organisation(en)

Teilchenphysik, Forschungsplattform Internationales Erwin Schrödinger Institut für Mathematik und Physik

Externe Organisation(en)

Universidade Federal de São Paulo, Universität Heidelberg

Journal

Proceedings of Science

Band

416

Anzahl der Seiten

9

DOI

https://doi.org/10.22323/1.416.0016

Publikationsdatum

10-2022

Peer-reviewed

Ja

ÖFOS 2012

103024 Quantenfeldtheorie, 103012 Hochenergiephysik

ASJC Scopus Sachgebiete

General

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/53557922-8fae-4814-98b3-47f800f040dd