Conformal symmetry and the Standard Model

By K. Meissner, H. Nicolai. 2006

343 citations recorded by the source corpus.

We re-examine the question of radiative symmetry breaking in the Standard Model in the presence of right-chiral neutrinos and a minimally enlarged scalar sector. We demonstrate that, with these extra ingredients, the hypothesis of classically unbroken conformal symmetry, besides naturally introducing and stabilizing a hierarchy, is compatible with all available data; in particular, there exists a set of parameters for which the model may remain viable even up to the Planck scale. The decay modes of the extra scalar field provide a unique signature of this model which can be tested at LHC.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/e58537bc2bbad02899e226f7fba872bc538d259f

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Citations in the corpus

Effective Action, Conformal Anomaly and the Issue of Quadratic Divergences (2007, methodology): “K.A.M. thanks the Albert-Einstein-Institut for hospitality and financial support.”
Higgs inflation from Standard Model criticality (2014, background): “In this paper, we pursue the possibility that λ(μmin) ' 0 is realized by a principle beyond the ordinary local field theory, such as the multiple point criticality principle [35, 113, 114], classical conformality [26–31, 115–117], asymptotic safety [118], the hidden duality and symmetry [119, 120], ”
Local conformal symmetry in physics and cosmology (2013, background): “rating on earlier suggestions [4][20][21], there has been recent progress [22] in developing a renormalization theory consistent with Weyl symmetry.”
Dark matter and neutrino masses from a scale-invariant multi-Higgs portal (2015, background): “the classically scale invariant version of the Standard Model [32–38].”
Emergence of the electroweak scale through the Higgs portal (2013, methodology): “In [10, 11, 20] this question has been answered favourably based on the special role played by dimensional regularisation and considering the anomaly in the trace of the energy-momentum tensor.”