Lower back pain is also called lumbago.
Sure, Homoeopathy has good treatment for your condition.
Want to know since how long you are having the problem.
When & how it started.
Sometimes it starts with lifting heavy objects or some kind of injury.
As you are saying that the pain is radiating to your leg, that suggests nerve involvement.
Avoid sleeping on soft bed.
Sleep on mat or something which gives good support to your back.
Avoid lifting heavy objects.
Once you feel relief, start mild back exercise & walking.
For treatment, you can consult personally