scholarly journals Pion-Pole Contribution to Hadronic Light-By-Light Scattering in the Anomalous Magnetic Moment of the Muon

2018 ◽  
Vol 121 (11) ◽  
Author(s):  
Martin Hoferichter ◽  
Bai-Long Hoid ◽  
Bastian Kubis ◽  
Stefan Leupold ◽  
Sebastian P. Schneider
Keyword(s):  
Light Scattering ◽  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Pion Pole ◽  
Pole Contribution

scholarly journals Dispersive analysis of light-meson transition form factors

2019 ◽  
Vol 218 ◽  
pp. 03001
Author(s):  
Bastian Kubis
Keyword(s):  
Light Scattering ◽  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Form Factors ◽  
Experimental Information ◽  
Light Meson ◽  
Transition Form ◽  
Dispersive Analysis

We discuss status and prospects of a dispersive analysis of the π0, η, and η ′ transition form factors. Particular focus is put on the various pieces of experimental information that serve as input to such a calculation. These can help improve on the precision of an evaluation of the light pseudoscalar pole contributions to hadronic light-by-light scattering in the anomalous magnetic moment of the muon.**

scholarly journals Exploratory studies for the position-space approach to hadronic light-by-light scattering in the muon g - 2

2018 ◽  
Vol 175 ◽  
pp. 06023 ◽  
Author(s):  
Nils Asmussen ◽  
Antoine Gérardin ◽  
Harvey B. Meyer ◽  
Andreas Nyffeler
Keyword(s):  
Light Scattering ◽  
Simple Model ◽  
Pion Pole ◽  
Infinite Volume ◽  
Pole Contribution ◽  
Position Space ◽  
Fermion Loop ◽  
Scattering Contribution ◽  
Space Approach ◽  
The Continuum

The well-known discrepancy in the muon g − 2 between experiment and theory demands further theory investigations in view of the upcoming new experiments. One of the leading uncertainties lies in the hadronic light-by-light scattering contribution (HLbL), that we address with our position-space approach. We focus on exploratory studies of the pion-pole contribution in a simple model and the fermion loop without gluon exchanges in the continuum and in infinite volume. These studies provide us with useful information for our planned computation of HLbL in the muon g − 2 using full QCD.

scholarly journals Towards a dispersive determination of the η and η′ transition form factors

2018 ◽  
Vol 166 ◽  
pp. 00012 ◽  
Author(s):  
Bastian Kubis
Keyword(s):  
Light Scattering ◽  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Form Factors ◽  
Experimental Information ◽  
Transition Form ◽  
Dispersive Analysis

We discuss status and prospects of a dispersive analysis of the η and η′ transition form factors. Particular focus is put on the various pieces of experimental information that serve as input to such a calculation. These can help improve on the precision of an evaluation of the η and η′ pole contributions to hadronic light-by-light scattering in the anomalous magnetic moment of the muon.

scholarly journals Hadronic light-by-light scattering in the muon g − 2

2019 ◽  
Vol 218 ◽  
pp. 01001
Author(s):  
Andreas Nyffeler
Keyword(s):  
Light Scattering ◽  
Lattice Qcd ◽  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Current Status ◽  
Reliable Estimate ◽  
Model Calculations ◽  
Recent Developments ◽  
Model Independent ◽  
Scattering Contribution

We briefly review the current status of the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon. Based on various model calculations in the literature, we obtain the estimate $ \mathop a\nolimits_\mu ^{HLbL} = (102 \pm 39) \times \mathop {10}\nolimits^{ - 11} $. Recent developments including more model-independent approaches using dispersion relations and lattice QCD, that could lead to a more reliable estimate, are also discussed.

scholarly journals Hadronic light-by-light scattering contribution to the muon g – 2 on the lattice

2018 ◽  
Vol 179 ◽  
pp. 01017 ◽  
Author(s):  
Nils Asmussen ◽  
Antoine Gérardin ◽  
Jeremy Green ◽  
Oleksii Gryniuk ◽  
Georg von Hippel ◽  
...  
Keyword(s):  
Light Scattering ◽  
Lattice Qcd ◽  
Cross Sections ◽  
Pion Pole ◽  
Lattice Calculation ◽  
Pole Contribution ◽  
Virtual Pion ◽  
Scattering Contribution ◽  
Space Approach ◽  
The Continuum

We briefly review several activities at Mainz related to hadronic light-by-light scattering (HLbL) using lattice QCD. First we present a position-space approach to the HLbL contribution in the muon g̅2, where we focus on exploratory studies of the pion-pole contribution in a simple model and the lepton loop in QED in the continuum and in infinite volume. The second part describes a lattice calculation of the double-virtual pion transition form factor Fπ0γ*γ* (q21; q21) in the spacelike region with photon virtualities up to 1.5 GeV2 which paves the way for a lattice calculation of the pion-pole contribution to HLbL. The third topic involves HLbL forward scattering amplitudes calculated in lattice QCD which can be described, using dispersion relations (HLbL sum rules), by γ*γ* → hadrons fusion cross sections and then compared with phenomenological models.

Sign in / Sign up

Export Citation Format

Share Document