$t_{L,R}$ inclusive distributions as tests of top compositeness

We consider the inclusive top quark distributions in $e^+e^-\to t_{L,R}+\rm{anything}$. We analyze the modifications of the basic SM contributions which would result from $t_{R}$ compositeness for example from the presence of form factors in the $t_{R}$ couplings and of an effective top mass $m_t(s)$. We also look at parton like contributions representing additional new particle production related to $t_{R}$ constituents. One observes a large sensitivity of the $t_{R}$ inclusive distribution to these various effects with specific shapes differing from those of the $t_{L}$ distribution and we show that these effects may even be also observable in the unpolarized top case.