Towards an improved understanding of $$\varvec{\eta \rightarrow \gamma ^*\gamma ^*}$$ η → γ ∗ γ ∗
Abstract We argue that high-quality data on the reaction $$e^+e^-\rightarrow \pi ^+\pi ^-\eta $$ e + e - → π + π - η will allow one to determine the doubly-virtual form factor $$\eta \rightarrow \gamma ^*\gamma ^*$$ η → γ ∗ γ ∗ in a model-independent way with controlled accuracy. This is an importan...
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2021
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oai:doaj.org-article:c24d9c98afcc46729854564dcf026a6e2021-11-14T12:13:49ZTowards an improved understanding of $$\varvec{\eta \rightarrow \gamma ^*\gamma ^*}$$ η → γ ∗ γ ∗10.1140/epjc/s10052-021-09661-01434-60441434-6052https://doaj.org/article/c24d9c98afcc46729854564dcf026a6e2021-11-01T00:00:00Zhttps://doi.org/10.1140/epjc/s10052-021-09661-0https://doaj.org/toc/1434-6044https://doaj.org/toc/1434-6052Abstract We argue that high-quality data on the reaction $$e^+e^-\rightarrow \pi ^+\pi ^-\eta $$ e + e - → π + π - η will allow one to determine the doubly-virtual form factor $$\eta \rightarrow \gamma ^*\gamma ^*$$ η → γ ∗ γ ∗ in a model-independent way with controlled accuracy. This is an important step towards a reliable evaluation of the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon. When analyzing the existing data for $$e^+e^-\rightarrow \pi ^+\pi ^-\eta $$ e + e - → π + π - η for total energies squared $$k^2>1\,\text {GeV}^2$$ k 2 > 1 GeV 2 , we demonstrate that the effect of the $$a_2$$ a 2 meson provides a natural breaking mechanism for the commonly employed factorization ansatz in the doubly-virtual form factor $$F_{\eta \gamma ^*\gamma ^*}(q^2,k^2)$$ F η γ ∗ γ ∗ ( q 2 , k 2 ) . However, better data are needed to draw firm conclusions.S. HolzJ. PlenterC. W. XiaoT. DatoC. HanhartB. KubisU.-G. MeißnerA. WirzbaSpringerOpenarticleAstrophysicsQB460-466Nuclear and particle physics. Atomic energy. RadioactivityQC770-798ENEuropean Physical Journal C: Particles and Fields, Vol 81, Iss 11, Pp 1-15 (2021) |
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DOAJ |
| collection |
DOAJ |
| language |
EN |
| topic |
Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 |
| spellingShingle |
Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 S. Holz J. Plenter C. W. Xiao T. Dato C. Hanhart B. Kubis U.-G. Meißner A. Wirzba Towards an improved understanding of $$\varvec{\eta \rightarrow \gamma ^*\gamma ^*}$$ η → γ ∗ γ ∗ |
| description |
Abstract We argue that high-quality data on the reaction $$e^+e^-\rightarrow \pi ^+\pi ^-\eta $$ e + e - → π + π - η will allow one to determine the doubly-virtual form factor $$\eta \rightarrow \gamma ^*\gamma ^*$$ η → γ ∗ γ ∗ in a model-independent way with controlled accuracy. This is an important step towards a reliable evaluation of the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon. When analyzing the existing data for $$e^+e^-\rightarrow \pi ^+\pi ^-\eta $$ e + e - → π + π - η for total energies squared $$k^2>1\,\text {GeV}^2$$ k 2 > 1 GeV 2 , we demonstrate that the effect of the $$a_2$$ a 2 meson provides a natural breaking mechanism for the commonly employed factorization ansatz in the doubly-virtual form factor $$F_{\eta \gamma ^*\gamma ^*}(q^2,k^2)$$ F η γ ∗ γ ∗ ( q 2 , k 2 ) . However, better data are needed to draw firm conclusions. |
| format |
article |
| author |
S. Holz J. Plenter C. W. Xiao T. Dato C. Hanhart B. Kubis U.-G. Meißner A. Wirzba |
| author_facet |
S. Holz J. Plenter C. W. Xiao T. Dato C. Hanhart B. Kubis U.-G. Meißner A. Wirzba |
| author_sort |
S. Holz |
| title |
Towards an improved understanding of $$\varvec{\eta \rightarrow \gamma ^*\gamma ^*}$$ η → γ ∗ γ ∗ |
| title_short |
Towards an improved understanding of $$\varvec{\eta \rightarrow \gamma ^*\gamma ^*}$$ η → γ ∗ γ ∗ |
| title_full |
Towards an improved understanding of $$\varvec{\eta \rightarrow \gamma ^*\gamma ^*}$$ η → γ ∗ γ ∗ |
| title_fullStr |
Towards an improved understanding of $$\varvec{\eta \rightarrow \gamma ^*\gamma ^*}$$ η → γ ∗ γ ∗ |
| title_full_unstemmed |
Towards an improved understanding of $$\varvec{\eta \rightarrow \gamma ^*\gamma ^*}$$ η → γ ∗ γ ∗ |
| title_sort |
towards an improved understanding of $$\varvec{\eta \rightarrow \gamma ^*\gamma ^*}$$ η → γ ∗ γ ∗ |
| publisher |
SpringerOpen |
| publishDate |
2021 |
| url |
https://doaj.org/article/c24d9c98afcc46729854564dcf026a6e |
| work_keys_str_mv |
AT sholz towardsanimprovedunderstandingofvarvecetarightarrowgammagammaēgg AT jplenter towardsanimprovedunderstandingofvarvecetarightarrowgammagammaēgg AT cwxiao towardsanimprovedunderstandingofvarvecetarightarrowgammagammaēgg AT tdato towardsanimprovedunderstandingofvarvecetarightarrowgammagammaēgg AT chanhart towardsanimprovedunderstandingofvarvecetarightarrowgammagammaēgg AT bkubis towardsanimprovedunderstandingofvarvecetarightarrowgammagammaēgg AT ugmeißner towardsanimprovedunderstandingofvarvecetarightarrowgammagammaēgg AT awirzba towardsanimprovedunderstandingofvarvecetarightarrowgammagammaēgg |
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