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Journal Article

#### Softly broken conformal symmetry and the stability of the electroweak scale

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##### Fulltext (public)

1404.0548.pdf

(Preprint), 138KB

##### Supplementary Material (public)

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##### Citation

Chankowski, P. H., Lewandowski, A., Meissner, K., & Nicolai, H. (2015). Softly
broken conformal symmetry and the stability of the electroweak scale.* Modern Physics Letters A,*
*30*(2): 1550006. doi:10.1142/S0217732315500066.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0018-C289-A

##### Abstract

We propose a novel possible mechanism to solve the electroweak hierarchy
problem. Assuming the existence of a UV complete underlying fundamental theory
and treating the cutoff scale $\Lambda$ of the effective theory as a real
physical scale we argue that the hierarchy problem would be solved if the
coefficient in front of quadratic divergences vanished for some choice of
$\Lambda$, and if the effective theory mass parameters fixed at $\Lambda$ by
the fundamental theory were hierarchically smaller than $\Lambda$ itself. While
this mechanism most probably cannot work in the Standard Model if the scale
$\Lambda$ is to be close to the Planck scale, we show that it can work in a
minimal extension (Conformal Standard Model) proposed recently for a different
implementation of soft conformal symmetry breaking.