buckworks - 8:07 pm on Mar 4, 2013 (gmt 0)
Having an AdWords campaign has zero direct effect on your organic results.
However, sometimes you can learn things from running AdWords that you can use to improve organic rankings.
Also, if your AdWords campaigns are really well targeted and reaching very satisfied users, Google might pick up on signals of happy user engagement. Benefits from that would be true for any ad medium, though, not just AdWords.
It's all about targeting.