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We calculate the pion scattering amplitude at nonzero temperature and nonzero$\mu_5$, the chemical potential associated to chiral imbalance in a locally$P$-breaking scenario. The amplitude is calculated up to next to leading orderin Chiral Perturbation Theory and is unitarized with the Inverse AmplitudeMethod to generate the poles of the $f_0(500)$ and $\rho (770)$ resonances.Within the saturation approach, the thermal $f_0(500)$ pole allows to determine$T_c(\mu_5)$, the transition temperature for chiral symmetry restoration. Ourresults confirm the growing behaviour of $T_c(\mu_5)$ found in previous worksand, through a fit to lattice results, we improve the uncertainty range of thelow-energy constants associated to $\mu_5$ corrections in the chirallagrangian. The results for the $\rho (770)$ pole are compatible with previousworks regarding the dilepton yield in heavy-ion collisions.

Pion scattering, light resonances and chiral symmetry restoration at nonzero chiral imbalance and temperature