How can hidden input fields in HTML forms be utilized to pass specific data, such as button IDs, to PHP scripts for handling?

Hidden input fields in HTML forms can be utilized to pass specific data, such as button IDs, to PHP scripts for handling by adding them within the form tags. These hidden input fields are not visible to users but can store data that can be submitted along with the form. In the PHP script, you can access the data passed through hidden input fields using the $_POST or $_GET superglobals.

<form method="post" action="handle_form.php">
  <input type="hidden" name="button_id" value="123">
  <button type="submit">Submit</button>
</form>
```

In the PHP script (handle_form.php):
```php
<?php
$button_id = $_POST['button_id'];
// Use the $button_id variable for further processing
?>