Erratum: Dalitz plots and lineshape of $a_1(1260)$ from a relativistic three-body unitary approach [Phys. Rev. D 101, 094018 (2020)]

Figure 1

(Replaces Fig. 7 of published paper.) Three-pion line shape from the decay ${\tau }^{-}\to {\pi }^{-}{\pi }^{-}{\pi }^{+}{\nu }_{\tau }$ (data from Ref. [1]). The solid blue line shows the fit result. We also include the component of the fit that comes only from the $S$-wave (red dashed line).

Figure 2

(Replaces Fig. 8 of published paper.) Upper row: Dalitz plots for various three-body invariant masses. Each Dalitz plot has been re-scaled separately to emphasize qualitative features. The blue/red colors represent higher/lower values, respectively. The dark bands at ${\sigma }_{13}$, ${\sigma }_{23}\sim 0.59{\mathrm{GeV}}^2$ are the outline of the $\rho$-meson. Middle row: projected Dalitz plots. An effect of this integration is the kinematic reflection of the peak from the $\rho$ meson at a value of ${\sigma }_{13}$ lower than the mass of the $\rho$. Lower row: the ratio between ${\mathcal{D}}_p$ and ${{\mathcal{D}}^{\prime }}_p$, the equivalent projected Dalitz plots calculated without the rescattering terms normalized to the integral over ${\mathcal{D}}_p$.