Broad resonance structure in <math><mrow><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>e</mi></mrow><mrow><mo>−</mo></mrow></msup><mo>→</mo><msub><mrow><mi>f</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>(</mo><mn>1285</mn><mo>)</mo><msup><mrow><mi>π</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>π</mi></mrow><mrow><mo>−</mo></mrow></msup></mrow></math> and higher <math><mrow><mi>ρ</mi></mrow></math>-meson excitations

Recently, the BABAR Collaboration reported a broad resonance structure near 2 GeV when analyzing the e+e−→f1(1285)π+π− process, which provides a good opportunity to study the higher ρ-mesonic states. When considering the ρ(1900) and ρ(2150) contributions, the experimental data of the cross section of e+e−→f1(1285)π+π− around 2 GeV can be well depicted, especially the observed broad resonance structure in e+e−→f1(1285)π+π− containing two substructures is suggested by the present work. Additionally, we also indicate a possible signal of ρ(5S) around 2.5 GeV in the e+e−→f1(1285)π+π− process. The obtained result may provide a valuable hint to identify higher ρ mesons, which will be a new task for the BESIII and Belle II experiments with the accumulation of higher precision data.