Beyond scalar QED radiative corrections: the ${\rho }^{\pm }-{\rho }^0$ width difference, FSR corrections and their impact on $\Delta a_{\mu }^{\mathrm{HVP},\mathrm{LO}}[\tau ]$

F. V. Flores-Baez, G. López Castro, Genaro Toledo

In a previous paper arXiv:0708.3256 [hep-ph] we have calculated the radiative corrections to $\rho \to \pi \pi$ decays, aiming to estimate the width difference between charged and neutral r…