The QCD Adler Function and the Muon g − 2 Anomaly from Renormalons

Maiezza, Alessio; Vasquez, Juan Carlos (2022) The QCD Adler Function and the Muon g − 2 Anomaly from Renormalons. Symmetry, 14 (9). ISSN 2073-8994

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Abstract

We describe the Adler function in Quantum Chromodynamics using a transseries representation within a resurgent framework. The approach is based on a Borel-Ecalle resummation of the infrared renormalons combined with an effective running for the strong coupling. The new approach is flexible enough to give values in agreement with the current Adler function determinations. We then apply our finding to the muon's anomalous magnetic moment studying the possibility of saturating, solely in terms of the vacuum polarization function, the current discrepancy between the best Standard Model value for the muon's anomalous magnetic moment and the experimental value obtained by the most recent muon g-2 collaboration. The latter shows that the Adler function's new representation can also be consistent with recent lattice determinations.

Item Type:	Article
Uncontrolled Keywords:	renormalons; QCD; resurgence
Subjects:	NATURAL SCIENCES > Physics
Divisions:	Theoretical Physics Division
Depositing User:	Lorena Palameta
Date Deposited:	24 Jan 2024 09:21
URI:	http://fulir.irb.hr/id/eprint/8393
DOI:	10.3390/sym14091878

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