Higgs scalar potential in asymptotically safe quantum gravity

Understand

The effect of gravitational fluctuations on the quantum effective potential for scalar fields is a key ingredient for predictions of the mass of the Higgs boson, understanding the gauge hierarchy problem and a possible explanation of an---asymptotically---vanishing cosmological constant.

• We find that the quartic self-interaction of the Higgs scalar field is an irrelevant coupling at the asymptotically safe ultraviolet fixed point of quantum gravity.
• This renders the ratio between the masses of the Higgs boson and top quark predictable.
• If the flow of couplings below the Planck scale is approximated by the Standard Model, this prediction is consistent with the observed value.