Infinit loop when I submit a form and redirect to this form with an additionnal parameter
If you want to redirect to the form page you need to do something like this in your submit handler:

$form_state-&gt;setRedirect('NAME_OF_THE_ROUTE_OF_YOUR_FORM', $route_paramters, $options);


Maybe you can insert your results by query parameters?! Or save them in a session so that they can be used again. But the $form_state->setRebuild seems to be smarter to me.