Selection of the lower-energy threshold ﹩{E}_{{\rm{\min }}}﹩ for the K2 high-energy tail. Left: fitted tail slope β as a function of ﹩{E}_{{\rm{\min }}}﹩. Middle: KS distance between the empirical tail (﹩{E}_{{\rm{TESS}}}\geqslant {E}_{{\rm{\min }}}﹩) and the corresponding best-fit power-law tail, used here as a diagnostic of how well the high-energy tail is approximated by a linear relation in log–log space. Right: number of flares retained in the tail, n_tail. The adopted ﹩{E}_{{\rm{\min }}}=3.6\times 1{0}^{30}﹩ erg (vertical dashed line) is chosen to minimize the KS distance while yielding a stable slope and retaining sufficient statistics.