[Avodah] Babylonian Jewry and Chanukah

[Moshe Y. Gluck]

R' YL: 
There was a large Jewish population living in Babylonia during the time that the events of Chanukah played out. Yet, I have never seen any mention of the Jews living in Bavel coming to the assistance of the Jews in EY during their struggle with the Syrian-Greeks. Why is this? Surely at least some of the news of what was transpiring in EY must have reached the Jews in Bavel.  Why didn't they either come to help or at least send assistance?
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Who says they didn't?

KT,
MYG