function webroom_add_short_description_in_product_categories() {
global $product;
if ( ! $product->get_short_description() ) return;
?>
<div itemprop="description">
<?php echo apply_filters( 'woocommerce_short_description', $product->get_short_description() ) ?>
</div>
<?php
}
add_action('woocommerce_after_shop_loop_item_title', 'webroom_add_short_description_in_product_categories', 5);
if( has_term( 4, 'product_cat' ) ) {
// do something if current product in the loop is in product category with ID 4
}