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arXiv · 0905.4857

Quantum scale-invariant models as effective field theories

M. E. Shaposhnikov·F. V. Tkachov
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Abstract

We address the question of whether the quantum scale-invariant theories introduced in [1] are renormalizable or play the role of effective field theories that are valid below the Planck scale $M_P$. We show that starting from two-loop level the renormalization procedure requires introduction of counter-terms with structures different from those in the initial Lagrangian, making these theories non-renormalizable and therefore non-predictive above $M_P$. Despite non-renormalizability, the attractive features of these theories, associated with the stability of the Higgs mass agains radiative corrections and the smallness of the cosmological constant, remain intact.

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M. E. Shaposhnikov, F. V. Tkachov. 2009-05-29. Quantum scale-invariant models as effective field theories. https://arxiv.org/abs/0905.4857

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