This chapter offers a comprehensive overview and systematic analysis of current UX evaluation methods with the objective to identify relevant dimensions to describe the qualities of AI-infused products and possible gaps. The state of the art is grounded on an umbrella review of previous consistent studies, a scoping review of about 130 UX evaluation methods, and a systematic literature review on the assessment of AI-based systems. This preliminary investigation substantiated the need of new, specific qualities to properly assess the UX of AI-infused products, and eight primary UX dimensions have been identified as a starting point for more experimental studies.