When you create new user there is checkbox “Send the new user an email about their account.”. If you did not un-check it, WordPress itself send the notification email message. It’s built by this function:
/**
* Email login credentials to a newly-registered user.
*
* A new user registration notification is also sent to admin email.
*
* @since 2.0.0
* @since 4.3.0 The <code>$plaintext_pass</code> parameter was changed to <code>$notify</code>.
* @since 4.3.1 The <code>$plaintext_pass</code> parameter was deprecated. <code>$notify</code> added as a third parameter.
* @since 4.6.0 The <code>$notify</code> parameter accepts 'user' for sending notification only to the user created.
*
* @param int $user_id User ID.
* @param null $deprecated Not used (argument deprecated).
* @param string $notify Optional. Type of notification that should happen. Accepts 'admin' or an empty
* string (admin only), 'user', or 'both' (admin and user). Default empty.
*/
function wp_new_user_notification( $user_id, $deprecated = null, $notify = '' ) {
You can modify message content and other parameters via custom filter ‘wp_new_user_notification_email’:
$wp_new_user_notification_email = array(
'to' => $user->user_email,
/* translators: Login details notification email subject. %s: Site title. */
'subject' => __( '[%s] Login Details' ),
'message' => $message,
'headers' => '',
);
/**
* Filters the contents of the new user notification email sent to the new user.
*
* @since 4.9.0
*
* @param array $wp_new_user_notification_email {
* Used to build wp_mail().
*
* @type string $to The intended recipient - New user email address.
* @type string $subject The subject of the email.
* @type string $message The body of the email.
* @type string $headers The headers of the email.
* }
* @param WP_User $user User object for new user.
* @param string $blogname The site title.
*/
$wp_new_user_notification_email = apply_filters( 'wp_new_user_notification_email', $wp_new_user_notification_email, $user, $blogname );
wp_mail(
$wp_new_user_notification_email['to'],
wp_specialchars_decode( sprintf( $wp_new_user_notification_email['subject'], $blogname ) ),
$wp_new_user_notification_email['message'],
$wp_new_user_notification_email['headers']
);