Bounds on Higgs And Top Quark Masses From The Other Degenerate Vacua Near The Planck Scale With Gravitational Contributions
arXiv:1506.07530 · doi:10.1007/s11433-017-9179-1
Abstract
Based on the weak coupling expansion of gravity, we calculate the gravitational contributions to yukawa coupling, scalar quartic coupling as well as gauge couplings with general Landau-DeWitt gauge-fixing choice and a gauge preserving (of SM gauge group) cut off regularization scheme. We find that the results depend on the Landau-DeWitt gauge-fixing parameter. Based on the two loop RGE of SM couplings with one loop full gravitational contributions in harmonic gauge, we study the constraints on the higgs and top quark mass from the requirement of existing the other degenerate vacua at the Planck-dominated region. Our numerical calculations show that nature will not develop the other degenerate vacua at the Planck-dominated region with current higgs and top quark masses. On the other hand, requiring the existence of the other degenerate vacua at the Planck-dominated region will constrain the higgs and top mass to lie at approximately 130 and 174 GeV, respectively.
21 pages,15 figures
References in corpus (9)
- Combined results of searches for the standard model Higgs boson in pp collisions at sqrt(s) = 7 TeV
- Combined search for the Standard Model Higgs boson using up to 4.9 fb-1 of pp collision data at sqrt(s) = 7 TeV with the ATLAS detector at the LHC
- Stability, Higgs Boson Mass and New Physics
- Gauge Dependence of Gravitational Correction to Running of Gauge Couplings
- Absence of gravitational contributions to the running Yang-Mills coupling
- Quantum gravity and charge renormalization
- Gravitational effects on vanishing Higgs potential at the Planck scale
- Gauge-Invariant Quantum Gravity Corrections to Gauge Couplings via Vilkovisky-DeWitt Method and Gravity Assisted Gauge Unification
- Vacuum Stability Bounds On Higgs Mass With Gravitational Contributions