We study the end-to-end distribution function for dilute polymers. We present a computation to order O(epsilon(2)), epsilon=4-d, and discuss in detail its asymptotic behavior for small and large distances. The theoretical predictions are compared with Monte Carlo results, finding good agreement. We show that the McKenzie-Moore-des Cloizeaux phenomelogical ansatz provides a very precise approximation to the exact end-to-end distribution function.