Hi,
As Mark explain I think that one of the most important points between them is performance impact cause by a missing index on a prod env. Reorg rebuild the index may generate some minimal locks over user workload but if you execute it over a low workload you may not have any problem.
There are also another points depends on what type of index (PK/clustered) you are rebuilding or recreating. PK gets worse if recreate process its choosen because of integrity constraints defined and clustered index also because of nonclustered index rebuild at the same transaction if not dropped before.
Hope helps.
Regards.
Javier.