The Noncommutative Standard Model at O(theta^2)

Abstract

We derive the most general Seiberg-Witten maps for noncommutative gauge theories in second order of the noncommutative parameter theta. Our results reveal the existence of more ambiguities than previously known. In particular, we demonstrate that some of these ambiguities enter observables like scattering cross sections and enlarge the parameter space of the noncommutative standard model beyond O(theta).

22 pages, LaTeX, 6 eps figures included, added several references and one clarification, accepted for publication in Phys. Rev. D

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Cited by in corpus (43)

• Noncommutative gravity coupled to fermions: second order expansion via Seiberg-Witten map
• Seiberg--Witten Maps to All Orders
• Spacetime noncommutativity and ultra-high energy cosmic ray experiments
• The absence of the 4$\psi$ divergence in noncommutative chiral models
• Constraining noncommutative field theories with holography
• Constraining spacetime noncommutativity with primordial nucleosynthesis
• Yukawa couplings and seesaw neutrino masses in noncommutative gauge theory
• Photon-neutrino interaction in theta-exact covariant noncommutative field theory
• Noncommutative fermions and quarkonia decays
• Location and Direction Dependent Effects in Collider Physics from Noncommutativity
• Gauge Theories on Deformed Spaces
• $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ scattering in the Noncommutative standard model
• TeV Scale Phenomenology of $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ Scattering in the Noncommutative Standard Model with Hybrid Gauge Transformation
• Particle phenomenology on noncommutative spacetime
• Symmetry Reduction in Twisted Noncommutative Gravity with Applications to Cosmology and Black Holes
• Singlet particles as cold dark matter in noncommutative space-time
• Higgsstrahlung and pair production in $e^{+}{e}^{-}$ collision in the noncommutative standard model
• Remarks on the 2nd order Seiberg-Witten maps
• Photon self-interaction on deformed spacetime
• Bound on Noncommutative Standard Model with Hybrid Gauge Transformation via Lepton Flavor Conserving $Z$ Decay
• Renormalizability and Phenomenology of theta-expanded Noncommutative Gauge Field Theory
• The Noncommutative Standard Model and Polarization in Charged Gauge Boson Production at the LHC
• Holographic quark gluon plasma with flavor
• Constraints on Non-Commutative Physics Scale with Neutrino-Electron Scattering
• Seiberg-Witten map Invariant Scatterings
• Single top quark production in $t$-channel at the LHC in Noncommutative Space-Time
• Noncommutative Standard Model in Top Quark Sector
• Spacetime Deformation Effect on the Early Universe and the PTOLEMY Experiment
• Elimination of IR/UV via Gravity in Noncommutative Field Theory
• The Noncommutative Standard Model at the ILC
• Two-Point Functions on Deformed Spacetime
• On the All Order Solutions of Seiberg-Witten Map for Noncommutative Gauge Theories
• Thermodynamical properties of a noncommutative anti-de Sitter-Einstein-Born-Infeld spacetime from gauge theory of gravity
• Noncommutative Dirac quantization condition using the Seiberg-Witten map
• Inferring type and scale of noncommutativity from the PTOLEMY experiment
• Higgs production in $e^{-}{e}^{+}$ collisions as a probe of noncommutativity
• Quantum Entanglement of Fermions- Antifermions Pair Creation modes in Non-commutative Bianchi I Space-time
• Laboratory frame analysis of $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ scattering in the Noncommutative Standard Model
• Seiberg-Witten equations from Fedosov deformation quantization of endomorphism bundle
• Enveloping algebra Noncommutative SM: Renormalisability and High Energy Physics Phenomenology
• Spacetime Noncommutativity in Models with Warped Extradimensions
• Search for noncommutative interactions in $\gamma \gamma \to \gamma \gamma$ process at the LHC
• Bounds on the scale of noncommutativity from mono photon production in ATLAS Runs -1 and -2 experiments at LHC energies