Isospin breaking in $\rho\pi\pi$ couplings: $\rho^{+,0}$ width difference and muon $g-2$
The dominant contribution to the hadronic vaccum polarization (HVP) of the muon $g-2$ can be calculated using the hadronic spectrum in $\tau^- \to \pi^-\pi^0\nu_{\tau}$ decay, provided isospin breaking (IB) corrections are properly accounted for. Among these corrections, IB in the $\rho\pi\pi$ coupling has been pointed...