The Arts and Humanities Research Council (AHRC) and the Economic and Social Research Council (ESRC) have issued a joint statement to explain the research areas at the interface of their interests.
The paragraph on Law is:
"AHRC supports research into the content, procedures, theory, philosophy and history of the law. This includes studies of legal systems and legislation in all periods of history and in all parts of the world. ESRC supports socio-legal studies, which are concerned with the social, political and economic influences on and impact of the law and the legal system."
The statement can be found on the ESRC website on the page Is my research suitable for ESRC funding?