  Let P be a non-linear polynomial, K_P the filled Julia set of P, f a
renormalization of P and K_f the filled Julia set of f. We show, loosely
speaking, that there is a finite-to-one function \lambda from the set of
P-external rays having limit points in K_f onto the set of f-external rays to
K_f such that R and \lambda(R) share the same limit set. In particular, if a
point of the Julia set J_f=\partial K_f of a renormalization is accessible from
C\setminus K_f then it is accessible through an external ray of P (the inverse
is obvious). Another interesting corollary is that: a component of K_P\setminus
K_f can meet K_f only at a single (pre-)periodic point. We study also a
correspondence induced by \lambda on arguments of rays. These results are
generalizations to all polynomials (covering notably the case of connected
Julia set K_P) of some results of Levin-Przytycki,
Blokh-Childers-Levin-Oversteegen-Schleicher and Petersen-Zakeri where the case
is considered when K_P is disconnected and K_f is a periodic component of K_P.
