The ban rules Francis out of Wales's final Six Nations game against Italy on Saturday and he will also miss the rest of the season for his club Exeter.
England, bidding to complete the grand slam for the first time since 2003 by beating France in Paris on Saturday, overcame Wales 25-21 and won the tournament after France lost 29-18 in Scotland.
(Reporting by Simon Jennings in Bengaluru, editing by Ed Osmond)
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