1210.2538 (Yuta Hamada et al.)

Bare Higgs mass at Planck scale    [PDF]

Yuta Hamada, Hikaru Kawai, Kin-ya Oda

In a certain quantum gravity/string theory context, it is possible that not only the physical Higgs mass but also the bare one (and hence the radiative corrections as well) can vanish at the Planck/string scale. We compute one and two loop quadratic divergent contributions to the bare Higgs mass in terms of the bare couplings in the Standard Model (SM). We approximate the bare couplings at the ultraviolet cutoff scale by the MSbar ones at the same scale, which we evaluate for the Higgs mass around 126GeV in the SM. We obtain the cutoff scale dependence of the bare Higgs mass up to two loop orders, and examine where it becomes zero. We find that if we take the current central value for the top quark pole mass, 173GeV, the bare Higgs mass vanishes at about 10^{23}GeV. With a 1.3 sigma smaller mass, 170GeV, the scale can be of the order of the Planck scale.

View original: http://arxiv.org/abs/1210.2538