A. Rodrigues Vieira, Brigitte Hiller, Marcos D. R. Sampaio, M. C. Nemes
We verify that quadratic divergences responsible for the lack of naturalness in the Standard Model are intrinsically arbitrary and regularization dependent. Such arbitrariness may be fixed by demanding consistency of scale invariance breakdown by quantum corrections as argued by Bardeen in [8]. Besides eliminating the fine-tuning problem, this requirement allows us to construct bounds using leading corrections to the Higgs mass at one loop order. The inclusion of the vacuum stability bound allows us to obtain that for fixed corrections $\delta m/m$ there will be, for a given energy scale, an interval for the Higgs boson mass. For correction values around $\delta m/m \sim 47%$ we obtain a Higgs mass around 122 GeV for an energy scale around 10 TeV . Larger $\delta m/m$ produces a Higgs boson mass slightly larger which converges at a higher energy scale. We also estimate the limit of validity of perturbation theory, finding where $\delta m\sim m$, which yields an energy scale $\sim 10^{16} GeV$.
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http://arxiv.org/abs/1207.4088
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