Spacelike and timelike kernels for the hadronic vacuum polarization contribution to the muon lifetime

Abstract

The explicit expressions for the spacelike kernels $K_{\Pi }^{(2)}(Q^2)$ and $K_D^{(2)}(Q^2)$ for the hadronic vacuum polarization contribution to the muon lifetime $\Delta {\Gamma }_{\text{had}}$ are derived. The obtained results enable one to evaluate $\Delta {\Gamma }_{\text{had}}$ within such methods as lattice studies, MUonE project, and others.

arXiv comment7 pages, 1 figure