The potential for Pfizer to take over U.K. pharma giant AstraZeneca has already sent its prey's share price soaring and caused political ructions on both sides of the Atlantic – without an agreed deal on the table.

With the expiration of a three-month period during which Pfizer must stay away from AstraZeneca, under U.K. takeover law, on Tuesday, speculation that the maker of Viagra may eventually seal this deal has risen.