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Softly broken conformal symmetry and the stability of the electroweak scale

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Meissner,  Krzysztof
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Nicolai,  Hermann
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1404.0548.pdf
(Preprint), 138KB

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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.