Journal
SYMMETRY-BASEL
Volume 14, Issue 9, Pages -Publisher
MDPI
DOI: 10.3390/sym14091878
Keywords
renormalons; QCD; resurgence
Categories
Funding
- U.S. Department of Energy [DE-SC0011095, DE-SC0015376]
- U.S. Department of Energy (DOE) [DE-SC0015376] Funding Source: U.S. Department of Energy (DOE)
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In this paper, we describe the Adler function in Quantum Chromodynamics using a transseries representation within a resurgent framework. We apply this to the study of the anomalous magnetic moment of the muon. The results show that the new representation can be consistent with experimental and lattice determinations.
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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