Pion light-by-light contributions to the muon g − 2
Bijnens, Johan LU
and Relefors, Johan
LU
(2016)
In Journal of High Energy Physics
2016(9).
- Abstract
This paper contains some new results on the hadronic light-by-light contribution (HLbL) to the muon g − 2. The first part argues that we can expect large effects from disconnected diagrams in present and future calculations by lattice QCD of HLbL. The argument is based on the dominance of pseudo-scalar meson exchange. In the second part, we revisit the pion loop HLbL contribution to the muon anomalous magnetic moment. We study it in the framework of some models studied earlier, pure pion loop, full VMD and hidden local symmetry for inclusion of vector mesons. In addition we study possible ways to include the axial-vector meson. The main part of the work is a detailed study of how the different momentum regions contribute. We derive a... (More)
This paper contains some new results on the hadronic light-by-light contribution (HLbL) to the muon g − 2. The first part argues that we can expect large effects from disconnected diagrams in present and future calculations by lattice QCD of HLbL. The argument is based on the dominance of pseudo-scalar meson exchange. In the second part, we revisit the pion loop HLbL contribution to the muon anomalous magnetic moment. We study it in the framework of some models studied earlier, pure pion loop, full VMD and hidden local symmetry for inclusion of vector mesons. In addition we study possible ways to include the axial-vector meson. The main part of the work is a detailed study of how the different momentum regions contribute. We derive a short distance constraint on the γ*γ* → ππ amplitude and use this as a constraint on the models used for the pion loop. As a byproduct we present the general result for integration using the Gegenbauer polynomial method.
(Less)
- author
- Bijnens, Johan
LU
and Relefors, Johan
LU
- organization
- publishing date
- 2016-09-01
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Chiral Lagrangians, Lattice QCD, Precision QED
- in
- Journal of High Energy Physics
- volume
- 2016
- issue
- 9
- article number
- 113
- publisher
- Springer
- external identifiers
-
- scopus:84988473806
- wos:000384435500001
- ISSN
- 1029-8479
- DOI
- 10.1007/JHEP09(2016)113
- language
- English
- LU publication?
- yes
- id
- d4cb9c17-0763-4944-92bc-d45c865b059a
- date added to LUP
- 2016-11-11 14:25:28
- date last changed
- 2024-06-14 17:39:40
@article{d4cb9c17-0763-4944-92bc-d45c865b059a,
abstract = {{<p>This paper contains some new results on the hadronic light-by-light contribution (HLbL) to the muon g − 2. The first part argues that we can expect large effects from disconnected diagrams in present and future calculations by lattice QCD of HLbL. The argument is based on the dominance of pseudo-scalar meson exchange. In the second part, we revisit the pion loop HLbL contribution to the muon anomalous magnetic moment. We study it in the framework of some models studied earlier, pure pion loop, full VMD and hidden local symmetry for inclusion of vector mesons. In addition we study possible ways to include the axial-vector meson. The main part of the work is a detailed study of how the different momentum regions contribute. We derive a short distance constraint on the γ<sup>*</sup>γ<sup>*</sup> → ππ amplitude and use this as a constraint on the models used for the pion loop. As a byproduct we present the general result for integration using the Gegenbauer polynomial method.</p>}},
author = {{Bijnens, Johan and Relefors, Johan}},
issn = {{1029-8479}},
keywords = {{Chiral Lagrangians; Lattice QCD; Precision QED}},
language = {{eng}},
month = {{09}},
number = {{9}},
publisher = {{Springer}},
series = {{Journal of High Energy Physics}},
title = {{Pion light-by-light contributions to the muon g − 2}},
url = {{http://dx.doi.org/10.1007/JHEP09(2016)113}},
doi = {{10.1007/JHEP09(2016)113}},
volume = {{2016}},
year = {{2016}},
}