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if ($d2 >= $1) {

print "\n $d2 is greater or equal to  $d1\n";

DateTime->compare( $dt1, $dt2 )

use strict;
use warnings;
...
    day       => 8,
    time_zone => 'America/Chicago',
);

say DateTime->compare( $d1, $d2 ) > 0
    ? $d1->ymd .' is greater than ' . $d2->ymd 
    : $d2->ymd .' is greater or equal to ' . $d1->ymd;