Noncommutative approach to diagnose degenerate Higgs bosons at 125 GeV

Abstract

We propose a noncommutative (NC) version for a global O(2) scalar field theory, whose damping feature is introduced into the scalar field theory through the NC parameter. In this context, we investigate how noncommutative drives spontaneous symmetry breaking (SSB) and Higgs-Kibble mechanisms and how the damping feature workout. Indeed, we show that the noncommutativity plays an important role in such mechanisms, i.e., the Higgs mass and VEV dependent on NC parameter. After that, it is explored the consequences of noncommutativity dependence of Higgs mass and VEV: for the first, it is shown that there are a mass-degenerate Higgs bosons near 126.5 GeV, parametrized by the noncommutativity; for the second, the gauge fields gain masses that present a noncommutativity contribution.

Noncommutative approach to disclose a Higgs group

“…This result can be interpreted in a two distinct and mutually exclusive way: first, H 2 can be interpreted as being the Higgs boson with mass equal to 125 GeV and θ can be settle in order to get H 1 as being the Higgs boson near 125 GeV, i.e., the mass-degenerate Higgs bosons near 125 GeV [7,[101][102][103][104][105][106] can be explained and the 750 GeV excess does not imply a 750 GeV mass resonance; second, H 2 can be interpreted as being the Higgs boson with mass equal to 750 GeV and θ can be settle in order to get H 1 as being the Higgs boson at 125 GeV.…”

“…Here, H 1 and H 2 can be interpreted as being two Higgs boson with 125 GeV and, due to some kind of an interaction among them, the mass-degenerate Higgs bosons near 125 GeV [7,[101][102][103][104][105][106] might appear. Further, we can also propose a general solution for Eq.…”

“…At this point, we would like to stress that the contribution of noncommutativity into the Higgs-Kibble mechanism, which is VEV dependent, was investigated in a previous work [7].…”

“…In another article [6], it was shown that the NC parameter plays the role of the viscous damping coefficient in the damped harmonic oscillator(DHO) and, among other things, the Noncommutative Mapping was applied in the global O(N ) scalar field theory, where the presence of damping feature was revealed and it was also discussed the relations among bosonic string attached to a 3D-brane, DHO, 2D-NC oscillator harmonic and NC scalar field theory. More recently, we have been revealing [7] how spontaneous symmetry breaking (SSB) and Higgs-Kibble mechanism are driven by the noncommutativity and it was explored not only to explain, in an alternative way, the massdegenerate Higgs bosons near 125 GeV, but also to see how the Higgs-Kibble mechanism changes in order to generate a NC dependent mass to the gauge fields.…”

“…Inspired by the 2HDM idea and by the NC contributions in mass-degenerate Higgs bosons [7], we propose to disclose a Higgs boson group from the NC point of view. This work is organized as follows.…”