# Explanation of quadratic divergence in higgs mechanism

1. Feb 23, 2013

Hi can anyone explain what a quadratic divergence is? and if so how it effects the mass of the scalar field i.e why $m^2 = m^2_{0} + \delta m^2$, why are these things squared?

Also how would this divergence affect the standard model as a natural concept, because from reading books it would seem that this introduces an intolerable amount of fine tumning making the SM as a standalone seem ridiculous.

2. Feb 23, 2013

### Staff: Mentor

How much do you know about quantum field theory?

Precision measurements and the newly found particle indicate a Higgs mass $m \approx 125 GeV$, while $\delta m^2$ is of the order of 1019 GeV, and requires $m_0$ to be fine-tuned to get such a small difference.

3. Feb 23, 2013