It never was the law that absence of body meant absence of murder charge. If a man with animosity towards the victim admits killing him, has the victim's blood on an axe in his house and on his clothes, and the victim is not seen again, that would be enough. Body, or no body, the case depends on what evidence there is. A corpse proves death but that may be established by circumstantial evidence.
This misconception may be based on misunderstanding, mistranslating, 'corpus delicti', without which no murder is proved. The acid bath murderer,Haigh,is said to have thought that corpus meant "the corpse" and so by dissolving it in acid he could not be convicted. Unfortunately for him "corpus delicti" means the evidence sufficient to prove the crime, the elements of it, much as we talk of the body of evidence proving the case.