The phrase "paying no attention" refers to the act of ignoring something or someone. This can be described using various synonyms, such as not heeding, disregarding, overlooking, neglecting, or ignoring. Other words that convey a similar meaning include dismissing, brushing off, and tuning out. Each of these words conveys a different tone and level of severity. For instance, neglecting might imply a sense of carelessness or irresponsibility, while brushing off might suggest a more casual disregard. In any case, the use of synonyms can add flavour to your writing while effectively conveying the intended meaning of the phrase "paying no attention".