The majority of the extragalactic sources yet detected at TeV photon energies
belong to the class of "high frequency peaked BL Lacs" (HBLs) that exhibit a
spectral energy distribution with a lower peak in the X-ray band. Such spectra
are well described in terms of a log-parabolic shape with a considerable
curvature, and widely interpreted as synchrotron emission from
ultrarelativistic electrons outflowing in a relativistic jet; these are
expected to radiate also in gamma-rays by the inverse Compton process. Recently
we have compared the X-ray spectral parameter distributions of TeV detected
HBLs (TBLs) with those undetected (UBLs), and found that the distributions of
the peak energies E_p are similarly symmetric around a value of a few keVs for
both subclasses, while the X-ray spectra are broader for TBLs than for UBLs.
Here we propose an acceleration scenario to interpret both the E_p and the
spectral curvature distributions in terms of a coherent and a stochastic
acceleration mechanisms, respectively. We show how the curvature parameter b<
0.3 - 0.7 of the synchrotron X rays, that depends only on the latter
acceleration component, can be related to the inverse Compton luminosity in
gamma-rays, so introducing a link between the X-ray and the TeV observations of
HBLs.Comment: 4 pages, 2 figures, Astrophysical Journal publishe