Constraining spacetime noncommutativity with primordial nucleosynthesis

Abstract

We discuss a constraint on the scale ${\Lambda }_{\mathrm{NC}}$ of noncommutative (NC) gauge field theory arising from consideration of the big bang nucleosynthesis (BBN) of light elements. The propagation of neutrinos in the NC background described by an antisymmetric tensor ${\theta }^{\mu \nu }$ does result in a tree-level vector-like coupling to photons in a generation-independent manner, raising thus a possibility to have an appreciable contribution of three light right-handed (RH) fields to the energy density of the universe at nucleosynthesis time. Considering elastic scattering processes of the RH neutrinos off charged plasma constituents at a given cosmological epoch, we obtain for a conservative limit on an effective number of additional doublet neutrinos, $\Delta N_{\nu }=1$, a bound ${\Lambda }_{\mathrm{NC}}\stackrel{>}{\sim }$ 3 TeV. With a more stringent requirement, $\Delta N_{\nu }\lesssim 0.2$, the bound is considerably improved, ${\Lambda }_{\mathrm{NC}}\stackrel{>}{\sim }10^3$ TeV. For our bounds the $\theta$-expansion of the NC action stays always meaningful, since the decoupling temperature of the RH species is perseveringly much less than the inferred bound for the scale of noncommutativity.

4 pages, version to appear in PRD

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• Location and Direction Dependent Effects in Collider Physics from Noncommutativity
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• Noncommutative magnetic moment of charged particles
• TeV Scale Phenomenology of $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ Scattering in the Noncommutative Standard Model with Hybrid Gauge Transformation
• Particle phenomenology on noncommutative spacetime
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• Hydrogen and muonic-Hydrogen Atomic Spectra in Non-commutative Space-Time
• Singlet particles as cold dark matter in noncommutative space-time
• Photon propagation in noncommutative QED with constant external field
• Constraints on Non-Commutative Physics Scale with Neutrino-Electron Scattering
• The decay $b\to s\gamma$ in the presence of a constant antisymmetric tensor field
• Spacetime Deformation Effect on the Early Universe and the PTOLEMY Experiment
• Inferring the covariant $\Theta$-exact noncommutative coupling in the top quark pair production at linear colliders
• Higgs Couplings in NonCommutative Standard Model
• Noncommutative QED+QCD and $\beta$-function for QED
• Search for associated production of Higgs with Z boson in the noncommutative Standard Model at linear colliders
• Effect of earth rotation on pair production of Standard Model Higgs bosons at linear colliders in the noncommutative space-time
• Inferring type and scale of noncommutativity from the PTOLEMY experiment
• Laboratory frame analysis of $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ scattering in the Noncommutative Standard Model
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• The Casimir force in noncommutative Randall-Sundrum models
• Nucleosynthesis constraint on Lorentz invariance violation in the neutrino sector
• Photon-neutrino interaction in theta-exact covariant noncommutative model: Phenomenology and Quantum properties*
• Neutrino spin oscillations in gravitational fields in noncommutative higher dimensions