What does paternity refer to in family law?

Paternity in family law specifically refers to the legal recognition of a father-child relationship. This determination is crucial for a variety of legal rights and responsibilities, including custody and visitation rights, as well as the right to inheritance. Establishing paternity allows the father to assert his parental rights and responsibilities formally. It also allows the child to benefit from the father's support, both emotionally and financially.

In contrast, the other options address different aspects of family law. The legal establishment of a child's adoption pertains to giving a child a new legal parent, which is distinct from paternity. Guardianship involves determining who will be responsible for a child's care and decision-making, which can involve individuals other than the biological parents. Finally, while establishing child support obligations is important, it stems primarily from the recognition of paternity. Paternity must be established first to assess and determine the responsibilities like child support. Thus, "Legal recognition of a father-child relationship" is the most accurate description of paternity in family law.