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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.

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author
organization
publishing date
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
publisher
Springer
external identifiers
  • scopus:84988473806
  • wos:000384435500001
ISSN
1126-6708
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
2017-11-05 05:09:21
@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>},
  articleno    = {113},
  author       = {Bijnens, Johan and Relefors, Johan},
  issn         = {1126-6708},
  keyword      = {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},
  volume       = {2016},
  year         = {2016},
}