An Attempt to Solve the Hierarchy Problem Based on Gravity-Gauge-Higgs Unification Scenario

Abstract

We discuss a possible scenario to solve the hierarchy problem, in which 4-dimensional bosonic fields with all possible integer spins, graviton, gauge boson and Higgs are unified in a framework of a gravity theory with extra dimensions. The Higgs is identified with the extra space component of the metric tensor. One-loop quantum effect on the Higgs mass-squared is explicitly calculated in a five dimensional gravity theory compactified on $S^1$. We obtain a finite calculable Higgs mass-squared without suffering from quadratic divergence, by virtue of general coordinate transformation invariance, which is argued to be guaranteed by the summation over all Kaluza-Klein modes running in the loop diagrams.

15pages, 2figures; version accepted for publication in Phys. Lett. B, one reference added

References in corpus (3)

• Dynamical Gauge Symmetry Breaking and Mass Generation on the Orbifold T^2/Z_2
• Higgs-gauge unification without tadpoles
• A general formula of the effective potential in 5D SU(N) gauge theory on orbifold

Cited by in corpus (26)

• Higgs Boson Mass and Electroweak-Gravity Hierarchy from Dynamical Gauge-Higgs Unification in the Warped Spacetime
• Towards A Realistic Grand Gauge-Higgs Unification
• Two-loop Calculation of Higgs Mass in Gauge-Higgs Unification: 5D Massless QED Compactified on S^1
• Six Dimensional Gauge-Higgs Unification with an Extra Space S^2 and the Hierarchy Problem
• Aspects of Phase Transition in Gauge-Higgs Unification at Finite Temperature
• Gauge-Higgs Unification at LHC
• Finite Anomalous Magnetic Moment in the Gauge-Higgs Unification
• Calculable One-Loop Contributions to S and T Parameters in the Gauge-Higgs Unification
• Finite Gluon Fusion Amplitude in the Gauge-Higgs Unification
• Neutron Electric Dipole Moment in the Gauge-Higgs Unification
• Bulk Mass Effects in Gauge-Higgs Unification at Finite Temperature
• More on the Finiteness of Anomalous Magnetic Moment in the Gauge-Higgs Unification
• Effective Potential of Higgs Field in Warped Gauge-Higgs Unification
• Flavor Mixing in Gauge-Higgs Unification
• Anomalous Higgs Interactions in Gauge-Higgs Unification
• Gauge-Higgs Dark Matter
• B^0-\bar B^0 Mixing in Gauge-Higgs Unification
• Standard(-like) Model from an SO(12) Grand Unified Theory in six-dimensions with $S_2$ extra-space
• Revisiting Electroweak Symmetry Breaking and Higgs Mass in Gauge-Higgs Unification
• D^0-\bar D^0 Mixing in Gauge-Higgs Unification
• Lower Bound for Compactification Scale from Muon g - 2 in the Gauge-Higgs Unification
• Radion Inflation in Higher-Dimensional Gravity Theory
• Strong First Order Electroweak Phase Transition in Gauge-Higgs Unification at Finite Temperature
• Cancellation of One-loop Corrections to Scalar Masses in Flux Compactification with Higher Dimensional Operators
• Model building by coset space dimensional reduction in eight-dimensions
• Towards Gravity-Gauge-Higgs Unification