Non-commutative Geometry and the Higgs Masses
A. Catal, T. Dereli (METU, Ankara)
TL;DR
This paper explores a non-commutative geometric extension of the electroweak model, predicting a light Higgs around 130 GeV and additional heavy scalar bosons, with explicit derivation of Higgs equations and masses.
Contribution
It introduces a non-commutative generalization of the electroweak model based on derivations of a su(2) algebra representation, providing explicit Higgs field equations and mass predictions.
Findings
Predicts a light Higgs boson around 130 GeV
Identifies four very heavy scalar bosons
Provides explicit scalar boson mass eigenvalues
Abstract
We study a non-commutative generalization of the standard electroweak model proposed by Balakrishna, Gursey and Wali [ Phys.Lett. B254(1991)430] that is formulated in terms of the derivations Der_2(M_3) of a three-dimensional representation of the su(2) Lie algebra of weak isospin. The linearized Higgs field equations and the scalar boson mass eigenvalues are explicitly given. A light Higgs boson with mass around 130 GeV together with four very heavy scalar bosons are predicted.
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