scholarly journals Dispersion relation for hadronic light-by-light scattering: pion pole

2018 ◽  
Vol 2018 (10) ◽  
Author(s):  
Martin Hoferichter ◽  
Bai-Long Hoid ◽  
Bastian Kubis ◽  
Stefan Leupold ◽  
Sebastian P. Schneider
2018 ◽  
Vol 175 ◽  
pp. 06023 ◽  
Author(s):  
Nils Asmussen ◽  
Antoine Gérardin ◽  
Harvey B. Meyer ◽  
Andreas Nyffeler

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.


2017 ◽  
Vol 2017 (4) ◽  
Author(s):  
Gilberto Colangelo ◽  
Martin Hoferichter ◽  
Massimiliano Procura ◽  
Peter Stoffer

2018 ◽  
Vol 179 ◽  
pp. 01017 ◽  
Author(s):  
Nils Asmussen ◽  
Antoine Gérardin ◽  
Jeremy Green ◽  
Oleksii Gryniuk ◽  
Georg von Hippel ◽  
...  

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.


1986 ◽  
Vol 77 ◽  
Author(s):  
P. V. Santos ◽  
L. Ley ◽  
J. Mebert ◽  
J. Koblinger

ABSTRACTWe have investigated the Raman and the phonon transmission spectra of a-Si:H/a-SiNx:H super lattices. At low wavenumbers, the Raman spectrum shows sharp peaks corresponding to the excitation of modes from the folded branches of the dispersion relation for longitudinal acoustic phonons propagating perpendicular to the layers. Energy gaps in the folded phonon dispersion occur at the center and at the boundary of the mini-Brillouin zone due to the differences in the acoustic impedances of the layers. The size of the lowest gaps was determined by light scattering. The phonon transmission spectra show transmission minima that we attribute to the frequency gaps in the dispersion of transversal acoustic phonons. The position and width of these minima are compared with the dispersion obtained from the Raman data.


2020 ◽  
Author(s):  
Bai-Long Hoid ◽  
Martin Hoferichter ◽  
Bastian Kubis ◽  
Stefan Leupold ◽  
Sebastian Schneider

2016 ◽  
Vol 118 ◽  
pp. 01030 ◽  
Author(s):  
Massimiliano Procura ◽  
Gilberto Colangelo ◽  
Martin Hoferichter ◽  
Peter Stoffer

2016 ◽  
Author(s):  
Gilberto Colangelo ◽  
Peter Stoffer ◽  
Martin Hoferichter ◽  
Massimiliano Procura

2018 ◽  
Vol 121 (11) ◽  
Author(s):  
Martin Hoferichter ◽  
Bai-Long Hoid ◽  
Bastian Kubis ◽  
Stefan Leupold ◽  
Sebastian P. Schneider

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