The radiative process responsible for gamma-Ray Burst (GRB) prompt emission has not been identified yet. If dominated by fast-cooling synchrotron radiation, the part of the spectrum immediately below the $ u F_ u$ peak energy should display a power-law behavior with slope $alpha_2=-3/2$, which breaks to a higher value $alpha_1=-2/3$ (i.e. to a harder spectral shape) at lower energies. Prompt emission spectral data (usually available down to $sim10-20,$keV) are consistent with one single power-law behavior below the peak, with typical slope $langlealpharangle=-1$, higher than (and then inconsistent with) the expected value $alpha_2=-3/2$. To better characterize the spectral shape at low energy, we analyzed 14 GRBs for which the Swift X-ray Telescope started observations during the prompt. When available, Fermi-GBM observations have been included in the analysis. For 67% of the spectra, models that usually give a satisfactory description of the prompt (e.g., the Band model) fail in reproducing the $0.5-1000,$keV spectra: low-energy data outline the presence of a spectral break around a few keV.We then introduce an empirical fitting function that includes a low-energy power law $alpha_1$, a break energy $E_{rm break}$, a second power law $alpha_2$, and a peak energy $E_{rm peak}$. We find $langlealpha_1rangle=-0.66$ ($ rm sigma=0.35$), $langle log (E_{rm break}/rm keV)rangle=0.63$ ($ rm sigma=0.20$), $langlealpha_2rangle=-1.46$ ($rm sigma=0.31$), and $langle log (E_{rm peak}/rm keV)rangle=2.1$ ($ rm sigma=0.56$).The values $langlealpha_1rangle$ and $langlealpha_2rangle$ are very close to expectations from synchrotron radiation. In this context, $E_{rm break}$ corresponds to the cooling break frequency.
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