Hadronic light-by-light contribution to $a_{\mu }$: extended Nambu-Jona-Lasinio, chiral quark models and chiral Lagrangians

Abstract

This talk discusses our old work on the hadronic light-by-light contribution to the muon anomalous magnetic moment and some more recent contributions. I discuss the various contributions starting with pseudo-scalar meson exchange, the quark- and pion-loop, as well as scalar and $a_1$-exchange. For the ${\pi }^0$-exchange I point out a possible large enhancement when only connected contributions are included. For the quark-loop I include some comments about the more recent estimates of this contribution. The pion-loop is discussed in more detail, in particular I discuss our unpublished work on including effects from $a_1$ and the polarizability.

8 pages, talk presented at FCCP2015 - Workshop on "Flavour changing and conserving processes," 10-12 September 2015, Anacapri, Capri Island, Italy

References in corpus (8)

• Towards a data-driven analysis of hadronic light-by-light scattering
• The Hadronic Light-by-Light Contribution to the Muon Anomalous Magnetic Moment: Where do we stand?
• On the precision of a data-driven estimate of hadronic light-by-light scattering in the muon g-2: pseudoscalar-pole contribution
• The hadronic light by light contribution to the $(g-2{)}_{\mu }$ with holographic models of QCD
• Measurement of the charged-pion polarisability
• Pseudo scalar contributions to light-by-light correction of muon g-2 in AdS/QCD
• Pion pole light-by-light contribution to g-2 of the muon in a nonlocal chiral quark model
• The role of momentum dependent dressing functions and vector meson dominance in hadronic light-by-light contributions to the muon g-2

Cited by in corpus (9)

• The hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• On the precision of a data-driven estimate of hadronic light-by-light scattering in the muon g-2: pseudoscalar-pole contribution
• Lattice calculation of the pion transition form factor ${\pi }^0\to {\gamma }^{\ast }{\gamma }^{\ast }$
• Lattice QCD and the anomalous magnetic moment of the muon
• Pion light-by-light contributions to the muon $g-2$
• The anomalous magnetic moment of the muon: status of Lattice QCD calculations
• Hadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules
• Hadronic light-by-light contribution to $(g-2{)}_{\mu }$ from lattice QCD with SU(3) flavor symmetry
• On the Hadronic light-by-light contribution to the muon $g-2$