I just happened to read two papers that pretend that the quadratic divergence of the Higgs mass is not a problem.(adsbygoogle = window.adsbygoogle || []).push({});

The first is "Vacuum energy: Quantum Hydrodynamics vs Quantum Gravity" http://arxiv.org/abs/gr-qc/0505104 (Update: this is now the correct paper from arxiv) where Volovik says that the quadratic divergences has the same origin as the quartic divergence of the vacuum energy. He says, since the vacuum energy is experimentally zero, the quartic divergence argument is wrong, as thus also the quadratic argument about the Higgs mass. Volovik concludes that the quadratic divergence of the Higgs mass needs simply to be ignored.

The second is "On Naturalness of Scalar Fields and Standard Model" http://arxiv.org/abs/0712.0402, published in PRD, which makes a similar claim. It says in its conclusions: "On the other hand, if some unknown mechanism provides for small mass of scalar particles, perturbation theory is quite able to explain relative stability of the scalar mass against small variations in fundamental parameters. We demonstrated that there is no fine tuning problem in the theory of quantum scalar field, ... "

Does this mean that the quadratic divergence issue is not as bad as has been said for the last 30 years?

John

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# Is the quadratic divergence of the Higgs mass really bad?

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