You can add multiple asset custom fields to any screen you want for JIRA and JIRA Service Desk. And you can filter its content by asset type(s).
It is possible to create a custom field for IT by filtering IT forms and also it is possible to create another asset custom field for Human Resources by selecting forms for HR.
JIRA
View Issue Screen
View Issue Screen - Asset detail popup
View Issue Screen - Inline edit asset custom field
Create/Edit Issue Screen - filtering, searching and multiple values are supported
Searching for assets and displaying selected assets - Supports Service Desk and Jira
Search assets for Asset custom field
Searching for any field, filtering with asset types and filtering current user's related assets are supported.
List selected assets
JIRA Service Desk Customer Portal
Create customer ticket
Asset custom field supports JIRA Service Desk customer portal. It is a searchable auto-complete and a multi-select field.
View customer ticket
Asset custom field shows details of the selected assets on JIRA Service Desk customer portal request view screen.
Info button opens the list of selected assets with all attributes.