Top and Higgs masses from vacuum leaks of the standard model

Renormalization group equation, the naturalness problem, and the understanding of the Higgs mass term

“…with γ H are given by Eq. (39,40) at one-loop and two-loop order, and coincide with the anomalous dimension of VEV derived in [33,34] at one-and two-loop order. We want to note that this approach does sidestep the naturalness problem, while the gauge invariant property of the RGE of the composed Higgs mass (still denoted as m 2 H = 2λv 2 but with different meaning with the m 2 H considered in section III) disappears, since…”

Vacuum fine tuning and masses of t-quark and Higgs boson

“…The natural supplement for the set of stability conditions of Veltman type might be the requirement to have zero anomalous dimension for v that in turn corresponds to the true minimum for the spontaneous symmetry-breaking effects [10]. Luckily it happens to be compatible with modified Veltman conditions.…”

“…2. The weak fine tuning that provides the cancellation of logarithmic cutoff dependence in certain coupling constants and simulates thereby the quasi-fixed ultraviolet behavior [8,9,10].…”

“…2. The idea of stability for Higgs v. e. v. against the cutoff variation was extended to the weak fine-tuning in [10]. At the one-loop level the finiteness of radiative corrections for Higgs v.e.v.…”

Possible finiteness of the Higgs-boson mass renormalization

“…Recently, these tadpole contributions have been investigated by two groups. Osland and Wu [4] have obtained the quadratically divergent terms using point-splitting regularization; whereas Blumhofer and Stech [5] have obtained the logarithmically divergent terms as well. Their results agree exactly with Eq.…”