The existing answers assume that processForm.php contains only code, and is not the page specified in the "action" attribute of your form. In case this assumption is incorrect, I'll answer assuming you DO want this page to directly process the POST request generated by your form, but that you want to prevent anybody from accidentally or maliciously running code in this file.
In this case, you can't hide the file as recommended. Instead, you could use a token that is created when the form is displayed, stored in a session variable, and also submitted with the form (<input type="hidden" ... />). Before doing any processing in processForm.php, you check that the token is present and matches the one in the session variable. Also, you should always sanitize all form input. There's no stopping somebody submitting whatever they want to your script as long as it's web accessible.