(Reuters) -Civil rights groups filed a lawsuit on Tuesday challenging a new Republican-backed law in Texas that will give state officials broad powers to arrest, prosecute, and deport people who illegally cross the U.S.-Mexico border. The lawsuit filed in federal court in Austin, Texas, claims that the law signed by Republican Texas Governor Greg Abbott on Monday unlawfully infringes upon the authority of the federal government under the U.S. Constitution to enforce the nation's immigration laws. The groups, led by the American Civil Liberties Union (ACLU), also said the law, which takes effect in March, illegally bars migrants from applying to the U.S. government for asylum or other humanitarian protections.