asexuality
Refers to the lack of sexual attraction to others, often used in discussions of sexual orientation.
Asexuality is recognized as one of the sexual orientations.
non-sexual love
Describes love that is not sexual in nature, such as platonic or familial love. Less common than the asexuality sense.
Their relationship is based on non-sexual love.
Compound of 無 (mu, 'without') + 性 (sei, 'sex') + 愛 (ai, 'love'), literally 'love without sex'. The term appears to be a modern coinage for the concept of asexuality.