1 Erratum to: Eur. Phys. J. C 54:187–197 (2008) https://doi.org/10.1140/epjc/s10052-007-0512-3

In calculations of one-loop corrections to the \(f_1 f_1 \rightarrow Z \gamma (\gamma )\) reaction, a wrong expression for the Z-boson energy was used in the hard photon emission part. This led to the use of wrong angular cuts. The recalculated Tables 4, 5 and 6 should read as follows.

Table 4 Comparison of the Born and one-loop cross sections of the annihilation channel \(e^+e^- \rightarrow Z\gamma (\gamma )\) calculated with different values of the soft/hard separation parameter \(\bar{\omega }\); for details see the text
Table 5 Comparison of the Born and one-loop cross sections of the annihilation channel \(\bar{u}u\rightarrow Z\gamma (\gamma )\) calculated with different values of the soft/hard separation parameter \(\bar{\omega }\)
Table 6 Comparison of the Born and one-loop cross sections of the annihilation channel \(\bar{d}d\rightarrow Z\gamma (\gamma )\) calculated with different values of the soft/hard separation parameter \(\bar{\omega }\)