Is the 126 GeV Higgs Boson Mass Calculable in Gauge-Higgs Unification?

Abstract

We address a question whether the recently observed Higgs mass $M_H=126$ GeV, of the order of the weak scale $M_W$, is calculable as a finite value in the scnenario of gauge-Higgs unification. In the scenario formulated on a flat 5-dimensional space-time, the Higgs mass is calculable, being protected under the quantum correction by gauge invariance, though the predicted Higgs mass is generally too small compared with $M_W$. In the 6-dimensional SU(3) model, however, a suitable orbifolding is known to lead to a mass of the order of $M_W$: $M_H=2M_W$ at the tree level, which has some similarity to the corresponding prediction by the MSSM, $M_H$ leq (cos beta) $M_Z$. We demonstrate first by a general argument and secondly by explicit calculations that, even though the quantum correction to the quartic self-coupling of the Higgs field is UV-divergent, its deviation from that of $g^2$ is calculable, and therefore two observables, $M_H^2$ and Delta equiv $(M_H/2M_W{)}^2-1$, are both calculable in the gauge-Higgs unification scenario. The implication of the precise value 126 GeV to the compactification scale and the bulk mass of the matter field in our model is also discussed.

24 pages, 2 figures, v2: Calculations of corrections to gauge kinetic terms added, v3: final version to be published

References in corpus (5)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Two loop finiteness of Higgs mass and potential in the gauge-Higgs unification
• Six Dimensional Gauge-Higgs Unification with an Extra Space S^2 and the Hierarchy Problem
• Equivalence Classes of Boundary Conditions in Gauge Theory on $Z_3$ Orbifold

Cited by in corpus (12)

• Fermion Mass Hierarchy in Grand Gauge-Higgs Unification
• Revisiting Electroweak Symmetry Breaking and Higgs Mass in Gauge-Higgs Unification
• $H\to Z\gamma$ in the gauge-Higgs unification
• Improving Fermion Mass Hierarchy in Grand Gauge-Higgs Unification with Localized Gauge Kinetic Terms
• mu to 3e and mu to e Conversion in Gauge-Higgs Unification
• 6D gauge-Higgs unification on T^2/Z_N with custodial symmetry
• Predictions of the Higgs mass and the weak mixing angle in the 6D gauge-Higgs unification
• The implication of gauge-Higgs unification to the hierarchical fermion masses
• Strong First Order Electroweak Phase Transition in Gauge-Higgs Unification at Finite Temperature
• $H\to b\bar{b},\tau \bar{\tau }$ in Gauge-Higgs Unification
• Trilinear gauge boson couplings in the gauge-Higgs unification
• Deviation of Yukawa Coupling in Gauge-Higgs Unification