How to conditionally not load js for anonymous users?
If you don't want to load your JS in anonymous user, check the user if its logged in then load the JS file if its true. use user_is_logged_in() to check if user is logged in, place it inside your hook_preprocess_page().

Example:


  $theme_path = drupal_get_path('theme', 'zen');
  // This will load only in authenticated user.
  if(user_is_logged_in()) {
    drupal_add_js($theme_path . '/plugins/jQuery/jquery-2.2.3.min.js');
  }