Bound on Noncommutative Standard Model with Hybrid Gauge Transformation via Lepton Flavor Conserving $Z$ Decay

Abstract

The $Z\to e^{+}{e}^{-}$ decay is studied basing on the noncommutative standard model (NCSM) with the hybrid gauge transformation. It is shown that if the latter is not included, the noncommutative correction to the amplitude of the $Z\to e^{+}{e}^{-}$ appears only as a phase factor, so that there is no new physical effect on the decay width. However, when the hybrid gauge transformation is included, the noncommutative effect appears in the two-body decay process. The discrepancy between the experimental branch ratio and the standard model prediction allows us to set the bound on the noncommutative parameters.

9 pages, 3 figures

References in corpus (9)

• Observation of electron-antineutrino disappearance at Daya Bay
• Improved Z -> gamma gamma decay in the renormalizable gauge sector of the noncommutative standard model
• The Noncommutative Standard Model at O(theta^2)
• Spacetime noncommutativity and ultra-high energy cosmic ray experiments
• Möller and Bhabha scattering in the noncommutative standard model
• Bounds on the Simplest Little Higgs Model Mass Spectrum Through Z Leptonic Decay
• $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ scattering in the Noncommutative standard model
• Leptonic $Z$ decays in the littlest $Higgs$ model with T-parity
• Lepton flavor conserving Z boson decays and scalar unparticle

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• Lorentz-violating effects on pair production of W bosons in photon collisions
• Probing Noncommutativities of Phase Space by Using Persistent Charged Current and Its Asymmetry
• Inferring the covariant $\Theta$-exact noncommutative coupling in the top quark pair production at linear colliders
• The theta-exact Seiberg-Witten maps at the e3 order
• Higgs Couplings in NonCommutative Standard Model
• Higgs production in $e^{-}{e}^{+}$ collisions as a probe of noncommutativity
• Photon polarization tensor on deformed spacetime: A four-photon-tadpole contribution