Longitudinal short-distance constraints for the hadronic light-by-light contribution to (g - 2)μ with large-Nc Regge models
Abstract
While the low-energy part of the hadronic light-by-light (HLbL) tensor can be constrained from data using dispersion relations, for a full evaluation of its contribution to the anomalous magnetic moment of the muon (g – 2)μ also mixed- and high-energy regions need to be estimated. Both can be addressed within the operator product expansion (OPE), either for configurations where all photon virtualities become large or one of them remains finite. Imposing such short-distance constraints (SDCs) on the HLbL tensor is thus a major aspect of a model-independent approach towards HLbL scattering. Here, we focus on longitudinal SDCs, which concern the amplitudes containing the pseudoscalar-pole contributions from πo, η, η'. Since these conditions cannot be fulfilled by a finite number of pseudoscalar poles, we consider a tower of excited pseudoscalars, constraining their masses and transition form factors from Regge theory, the OPE, and phenomenology. Implementing a matching of the resulting expressions for the HLbL tensor onto the perturbative QCD quark loop, we are able to further constrain our calculation and significantly reduce its model dependence. We find that especially for the π0 the corresponding increase of the HLbL contribution is much smaller than previous prescriptions in the literature would imply. Overall, we estimate that longitudinal SDCs increase the HLbL contribution by Δa$$^{LSDC}_{μ}$$ = 13(6) × 10-11. This number does not include the contribution from the charm quark, for which we find a$$^{c–quark}_{μ}$$ = 3(1) × 10–11.
- Authors:
-
[1];
[2];
[1];
- Univ. of Bern (Switzerland). Inst. for Theoretical Physics. Albert Einstein Center for Fundamental Physics
- Univ. of Washington, Seattle, WA (United States). Inst. for Nuclear Theory; Univ. of Bern (Switzerland). Inst. for Theoretical Physics. Albert Einstein Center for Fundamental Physics
- Univ. of Washington, Seattle, WA (United States). Inst. for Nuclear Theory
- Publication Date:
- Research Org.:
- Univ. of Washington, Seattle, WA (United States); Univ. of California, San Diego, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1799994
- Grant/Contract Number:
- FG02-00ER41132; SC0009919
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 3; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Nature
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics
Citation Formats
Colangelo, Gilberto, Hagelstein, Franziska, Hoferichter, Martin, Laub, Laetitia, and Stoffer, Peter. Longitudinal short-distance constraints for the hadronic light-by-light contribution to (g - 2)μ with large-Nc Regge models. United States: N. p., 2020.
Web. doi:10.1007/jhep03(2020)101.
Colangelo, Gilberto, Hagelstein, Franziska, Hoferichter, Martin, Laub, Laetitia, & Stoffer, Peter. Longitudinal short-distance constraints for the hadronic light-by-light contribution to (g - 2)μ with large-Nc Regge models. United States. https://doi.org/10.1007/jhep03(2020)101
Colangelo, Gilberto, Hagelstein, Franziska, Hoferichter, Martin, Laub, Laetitia, and Stoffer, Peter. Tue .
"Longitudinal short-distance constraints for the hadronic light-by-light contribution to (g - 2)μ with large-Nc Regge models". United States. https://doi.org/10.1007/jhep03(2020)101. https://www.osti.gov/servlets/purl/1799994.
@article{osti_1799994,
title = {Longitudinal short-distance constraints for the hadronic light-by-light contribution to (g - 2)μ with large-Nc Regge models},
author = {Colangelo, Gilberto and Hagelstein, Franziska and Hoferichter, Martin and Laub, Laetitia and Stoffer, Peter},
abstractNote = {While the low-energy part of the hadronic light-by-light (HLbL) tensor can be constrained from data using dispersion relations, for a full evaluation of its contribution to the anomalous magnetic moment of the muon (g – 2)μ also mixed- and high-energy regions need to be estimated. Both can be addressed within the operator product expansion (OPE), either for configurations where all photon virtualities become large or one of them remains finite. Imposing such short-distance constraints (SDCs) on the HLbL tensor is thus a major aspect of a model-independent approach towards HLbL scattering. Here, we focus on longitudinal SDCs, which concern the amplitudes containing the pseudoscalar-pole contributions from πo, η, η'. Since these conditions cannot be fulfilled by a finite number of pseudoscalar poles, we consider a tower of excited pseudoscalars, constraining their masses and transition form factors from Regge theory, the OPE, and phenomenology. Implementing a matching of the resulting expressions for the HLbL tensor onto the perturbative QCD quark loop, we are able to further constrain our calculation and significantly reduce its model dependence. We find that especially for the π0 the corresponding increase of the HLbL contribution is much smaller than previous prescriptions in the literature would imply. Overall, we estimate that longitudinal SDCs increase the HLbL contribution by Δa$^{LSDC}_{μ}$ = 13(6) × 10-11. This number does not include the contribution from the charm quark, for which we find a$^{c–quark}_{μ}$ = 3(1) × 10–11.},
doi = {10.1007/jhep03(2020)101},
journal = {Journal of High Energy Physics (Online)},
number = 3,
volume = 2020,
place = {United States},
year = {Tue Mar 17 00:00:00 EDT 2020},
month = {Tue Mar 17 00:00:00 EDT 2020}
}
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QCD Short-distance constraints and hadronic approximations
journal, April 2003
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The decay constant of the first excited pion from lattice QCD
journal, November 2006
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Power corrections to , and
journal, March 2009
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journal, April 2003
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Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment reexamined
journal, December 2004
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Precision tau physics
journal, March 2014
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Single meson contributions to the muon’s anomalous magnetic moment
journal, August 2014
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Static quark-antiquark interactions in zero and finite temperature QCD: I. Heavy quark free energies, running coupling, and quarkonium binding
journal, June 2005
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Decay constants, light quark masses, and quark mass bounds from light quark pseudoscalar sum rules
journal, March 2002
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