After a big victory Tuesday night, Linda McMahon is hoping to become the first woman in Connecticut elected to the United States Senate.
Congressman Chris Murphy also won big and both want the seat being vacated by outgoing Sen. Joe Lieberman.
And just hours after winning their respective primary, they started taking jabs at one another.
Both candidates have made it clear they plan to wage aggressive campaigns.
Murphy, a Democrat, called on McMahon, a Republican to debate next week. He said following a tour of a Wallingford solar energy company on Wednesday that voters shouldn't have to wait until September or October for a debate.
McMahon said her campaign began making automated calls Wednesday to about 300,000 seniors, accusing Murphy of agreeing to $700 billion in cuts to Medicare when he supported the federal health care overhaul bill.
Murphy called the charge a lie and accused McMahon of flip-flopping on Medicare.
Copyright 2012 WFSB (Meredith Corporation). The Associated Press contributed to this report. All rights reserved.