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The radiative loss interpretation for the broken power-law spectra of blazarsis often questioned since the difference between the indices does not supportthis inference. Using the blazar Mkn 421 as a case study, we performed adetailed analysis of its characteristic photon energy where the spectral indexchanges significantly. We used the observations of the source by Swift-XRT from2008 to 2019 to identify the characteristic photon energy and the correspondingspectral indices. The spectra in the energy range 0.3-10.0 keV can be wellfitted by a log parabola as well as a smooth broken power-law. From the smoothbroken power-law spectral fit we show that the spectral indices before andafter the characteristic photon energy are strongly anti-correlated. Further,the spectral curvature measured at the characteristic photon energy indicatesan anti-correlation with the low energy spectral index while the high energyspectral index shows a positive correlation. These findings are at variancewith a simple radiative loss interpretation for the characteristic photonenergy, and alternative scenarios are thus discussed. Though these scenariosare in principle capable of reproducing the correlation results, they deviatesignificantly from the observed properties.

Do radiative losses determine the characteristic emission of the blazar Mkn 421?