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

Maiezza, Alessio; Vasquez, Juan Carlos

doi:10.3390/sym14091878

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

Journal Article · Thu Sep 08 00:00:00 EDT 2022 · Symmetry

DOI:https://doi.org/10.3390/sym14091878· OSTI ID:1886098

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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.

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Research Organization:: Univ. of Massachusetts, Amherst, MA (United States); University of North Carolina, Chapel Hill, NC (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0015376.; SC0011095; SC0015376

OSTI ID:: 1886098

Alternate ID(s):: OSTI ID: 1981199

Journal Information:: Symmetry, Journal Name: Symmetry Vol. 14 Journal Issue: 9; ISSN 2073-8994

Publisher:: MDPI AGCopyright Statement

Country of Publication:: Switzerland

Language:: English

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