High Energy Physics - Phenomenology
[Submitted on 6 Jul 2005 (v1), last revised 17 Oct 2005 (this version, v2)]
Title:A Criterion of Naturalness in Renormalization
View PDFAbstract: The sensitivity criterion is widely used in measuring the level of fine-tuning, although many examples show it doesn't work under certain circumstances. We discuss the mathematics behind the fine-tuning problems, explain the mathematical meanings of the sensitivity criterion, point out three implicit assumptions behind this criterion. Because of these assumptions, the sensitivity criterion can't reflect the fine-tuning level correctly. By analyzing two well known examples that the sensitivity criterion failed, we point out the dimensional effect is the main reason why we have these problems. To solve these problems, we proposed a new criterion to replace the sensitivity criterion.
Submission history
From: Su Yan [view email][v1] Wed, 6 Jul 2005 18:13:25 UTC (10 KB)
[v2] Mon, 17 Oct 2005 18:04:35 UTC (12 KB)
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