The 750 GeV diphoton excess in unified $SU(2{)}_L\times SU(2{)}_R\times SU(4)$ models from noncommutative geometry

Abstract

We discuss a possible interpretation of the $750$ GeV diphoton resonance, recently reported at the LHC, within a class of $SU(2{)}_L\times SU(2{)}_R\times SU(4)$ models with gauge coupling unification. The unification is imposed by the underlying non-commutative geometry (NCG), which in these models is extended to a left-right symmetric completion of the Standard Model (SM). Within such \textit{unified} $SU(2{)}_L\times SU(2{)}_R\times SU(4)$ models the Higgs content is restrictively determined from the underlying NCG, instead of being arbitrarily selected. We show that the observed cross sections involving the $750$ GeV diphoton resonance could be realized through a SM singlet scalar field accompanied by colored scalars, present in these unified models. In view of this result we discuss the underlying rigidity of these models in the NCG framework and the wider implications of the NCG approach for physics beyond the SM.

arXiv comment12 pages, 4 figures, references added, typos fixed, minor changes in the text, matches the published version

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• On de Sitter Spacetime and String Theory
• Spectral Noncommutative Geometry, Standard Model and all that
• Prospects for Detecting light bosons at the FCC-ee and CEPC
• Clifford Structures in Noncommutative Geometry and the Extended Scalar Sector
• Minimal Dilaton Model and the Diphoton Excess
• Analysis of right-handed Majorana neutrino mass in an $SU(4)\times SU(2{)}_L\times SU(2{)}_R$ Pati--Salam model with democratic texture
• Phenomenology of an $SU(2{)}_1\times SU(2{)}_2\times U(1{)}_Y$ model at the LHC
• Clifford-based spectral action and renormalization group analysis of the gauge couplings
• Pure gauge theory for the gravitational spin connection
• Pseudo-Riemannian Structures in Pati-Salam models