Hadronic vacuum polarization: three-pion channel

Pion mass difference from vacuum polarization

E. Shintani∗1† , H. Fukaya2, S. Hashimoto1,3, H. Matsufuru1, J. Noaki1, T. Onogi4, N. Yamada1,3 (for JLQCD Collaboration) 1High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan 2Theoretical Physics Laboratory, RIKEN, Wako 351-0198, Japan, 3School of High Energy Accelerator Science, The Graduate University for Advanced Studies (Sokendai), Tsukuba 305-0801, Japan, 4Yukawa I...

Hadronic Vacuum Polarization and the Lamb Shift

Recent improvements in the determination of the running of the fine-structure constant also allow an update of the hadronic vacuum-polarization contribution to the Lamb shift. We find a shift of −3.40(7) kHz to the 1S level of hydrogen. We also comment on the contribution of this effect to the determination by elastic electron scattering of the r.m.s. radii of nuclei.

Hadronic Vacuum Polarization Contribution to the Muonium Hyperfine Splitting

We discuss hadronic effects in the muonium hyperfine structure and derive an expression for the hadronic contribution to the hfs interval in form of the onedimensional integral of the cross section of e+e− annihilation into hadrons. Higherorder hadronic contributions are also considered.

Investigation of vacuum polarization in t-channel radiative Bhabha scattering

We discuss the possibility of a precision measurement of vacuum polarization in t-channel radiative Bhabha scattering at a high luminosity collider. For illustration, the achievable precision is estimated for the BaBar experiment at PEP-II and for the OPAL experiment at LEP.

The hadronic vacuum polarization contribution to aμ from full lattice QCD