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TeV Scale Implications of Non Commutative Space time in Laboratory Frame with Polarized Beams
High Energy Physics - Phenomenology · Submitted 26 May 2011
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim 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).
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The abstract, sentence by sentence
We analyze $e^{+}e^{-}\rightarrow \gamma\gamma$, $e^{-}\gamma \rightarrow e^{-}\gamma$ and $\gamma\gamma \rightarrow 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).
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We analyze $e^{+}e^{-}\rightarrow \gamma\gamma$, $e^{-}\gamma \rightarrow e^{-}\gamma$ and $\gamma\gamma \rightarrow e^{+}e^{-} $ processes within the Seiberg-Witten expanded noncommutative scenario using polarized beams. | contribution 0.89 | 0.92 | 0.05 | asserted 0.94 |
| s1 | 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. | result 0.97 | 0.68 | 0.28 | asserted 1.00 |
| s2 | 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. | result 0.81 | 0.75 | 0.20 | asserted 0.82 |
| s3 | We include the effects of earth rotation in our analysis. | method 0.78 | 0.92 | 0.02 | asserted 0.99 |
| s4 | This study is done by investigating the effects of non commutativity on different time averaged cross section observables. | method 0.80 | 0.86 | 0.05 | asserted 0.95 |
| s5 | 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). | interpretation 0.88 | 0.82 | 0.67 | asserted 0.60 |
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The paper
Original abstract
We analyze $e^{+}e^{-}\rightarrow \gamma\gamma$, $e^{-}\gamma \rightarrow e^{-}\gamma$ and $\gamma\gamma \rightarrow 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).
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How the literature uses it
3 arXiv papers cite this in 3 sentences
Papers citing it · 2 sentences without a confident label
Cites it as background 1 paper
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There are already several phenomenological studies on the effects of noncommutativity on various decay and scattering processes that can be found in [ref] .
Higgs production in $e^{-}e^{+}$ collisions as a probe of noncommutativity · Introduction · 0.94
What it cites · 28 sentences without a confident label
Uses the method or tool of 10 papers
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To construct the NC extension of the standard model (SM) [ref] , which uses the same gauge group and particle content, or for that matter any other gauge theory, be it abelian or non-abelian, one expands the NC gauge fields in non linear power series of $Θ$ [ref] : λ_α(x,Θ) = α(x) + Θ^μν λ^(1)_μν(x;α) + Θ^μν Θ^ησ λ^(2)_μνησ(x;α) + ⋯ A_ρ(x,Θ) = A_ρ(x) + Θ^μν A^(1)_μνρ(x) + Θ^μν Θ^ησ A^(2)_μνησρ(x) + ⋯.
String Theory and Noncommutative Geometry · Non Commutative Standard Model · 0.87
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To construct the NC extension of the standard model (SM) [ref] , which uses the same gauge group and particle content, or for that matter any other gauge theory, be it abelian or non-abelian, one expands the NC gauge fields in non linear power series of $Θ$ [ref] : λ_α(x,Θ) = α(x) + Θ^μν λ^(1)_μν(x;α) + Θ^μν Θ^ησ λ^(2)_μνησ(x;α) + ⋯ A_ρ(x,Θ) = A_ρ(x) + Θ^μν A^(1)_μνρ(x) + Θ^μν Θ^ησ A^(2)_μνησρ(x) + ⋯.
The Standard Model on Non-Commutative Space-Time · Non Commutative Standard Model · 0.87
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To construct the NC extension of the standard model (SM) [ref] , which uses the same gauge group and particle content, or for that matter any other gauge theory, be it abelian or non-abelian, one expands the NC gauge fields in non linear power series of $Θ$ [ref] : λ_α(x,Θ) = α(x) + Θ^μν λ^(1)_μν(x;α) + Θ^μν Θ^ησ λ^(2)_μνησ(x;α) + ⋯ A_ρ(x,Θ) = A_ρ(x) + Θ^μν A^(1)_μνρ(x) + Θ^μν Θ^ησ A^(2)_μνησρ(x) + ⋯.
The Z -> gamma gamma, gg Decays in the Noncommutative Standard Model · Non Commutative Standard Model · 0.87
Cites as background 23 papers
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These effects were considered in many previous studies [ref] but we shall follow reference [ref] .
Location and Direction Dependent Effects in Collider Physics from Noncommutativity · Cross sections in the Laboratory Frame · 0.96
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These effects were considered in many previous studies [ref] but we shall follow reference [ref] .
Pair Production of Neutral Higgs Bosons through Noncommutative QED Interactions at Linear Colliders · Cross sections in the Laboratory Frame · 0.96
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These effects were considered in many previous studies [ref] but we shall follow reference [ref] .
Probing Noncommutative Space-Time in the Laboratory Frame · Cross sections in the Laboratory Frame · 0.96
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