TeV Scale Implications of Non Commutative Space time in Laboratory Frame with Polarized Beams

Abstract

We analyze $e^{+}{e}^{-}\to \gamma \gamma$, $e^{-}\gamma \to e^{-}\gamma$ and $\gamma \gamma \to e^{+}{e}^{-}$ processes within the Seiberg-Witten expanded noncommutative scenario using polarized beams. With unpolarized beams the leading order effects of non commutativity starts from second order in non commutative(NC) parameter i.e. $O({\Theta }^2)$, while with polarized beams these corrections appear at first order ($O(\Theta )$) in cross section. The corrections in Compton case can probe the magnetic component(${\vec{\Theta }}_B$) while in Pair production and Pair annihilation probe the electric component(${\vec{\Theta }}_E$) of NC parameter. We include the effects of earth rotation in our analysis. This study is done by investigating the effects of non commutativity on different time averaged cross section observables. The results which also depends on the position of the collider, can provide clear and distinct signatures of the model testable at the International Linear Collider(ILC).

22 pages, 19 figures, new comments and references added, few typos corrected, Published in JHEP

References in corpus (4)

• Vacuum Birefringence as a Probe of Planck Scale Noncommutativity
• Constraining noncommutative field theories with holography
• Renormalisability of the matter determinants in noncommutative gauge theory in the enveloping-algebra formalism
• Renormalizability and Phenomenology of theta-expanded Noncommutative Gauge Field Theory

Cited by in corpus (9)

• TeV Scale Phenomenology of $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ Scattering in the Noncommutative Standard Model with Hybrid Gauge Transformation
• Bound on Noncommutative Standard Model with Hybrid Gauge Transformation via Lepton Flavor Conserving $Z$ Decay
• Seiberg-Witten map Invariant Scatterings
• Single top quark production in $t$-channel at the LHC in Noncommutative Space-Time
• Phenomenological Implications of Very Special Relativity
• Search for associated production of Higgs with Z boson in the noncommutative Standard Model at linear colliders
• Lorentz violation parameters and noncommutative scale
• Quantum Entanglement of Fermions- Antifermions Pair Creation modes in Non-commutative Bianchi I Space-time
• Revisiting NCQED and scattering amplitudes