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On Naturalness of Scalar Fields and Standard Model | | Grigorii B. Pivovarov
; Victor T. Kim
; | | Date: |
4 Dec 2007 | | Abstract: | We discuss how naturalness predicts the scale of new physics. Two conditions
on the scale are considered. The first is the more conservative condition due
to Veltman (Acta Phys. Polon. B 12, 437 (1981)). It requires that radiative
corrections to the electroweak mass scale would be reasonably small. The second
is the condition due to Barbieri and Giudice (Nucl. Phys. B 306, 63 (1988)),
which is more popular lately. It requires that physical mass scale would not be
oversensitive to the values of the input parameters. We show here that the
above two conditions behave differently if higher order corrections are taken
into account. Veltman’s condition is robust (insensitive to higher order
corrections), while Barbieri-Giudice condition changes qualitatively. We
conclude that higher order perturbative corrections take care of the fine
tuning problem, and, in this respect, scalar field is a natural system. We
apply the Barbieri-Giudice condition with higher order corrections taken into
account to the Standard Model, and obtain new restrictions on the Higgs boson
mass. | | Source: | arXiv, 0712.0402 | | Services: | Forum | Review | PDF | Favorites | |
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