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I've seen people blame adding a Google sitemap as the cause of their traffic falling off. There's a way that could possibly be valid, namely if you used some sort of auto sitemap generator that added some pages to your sitemap that Google really didn't like. Pages you probably wouldn't have put in your sitemap had you done it manually.
Other than that, having a Webmaster Tools account or Analytics shouldn't effect your rankings at all. They already track a lot of info about your sites whether you have those tools or not. Do a search, right click on the links and check the url that displays at the bottom of the browser.
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