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We analyze $e^{+}e^{-}rightarrow gammagamma$, $e^{-}gamma rightarrow e^{-}gamma$ and $gammagamma rightarrow e^{+}e^{-} $ processes within the Seiberg-Witten expanded noncommutative scenario using polarized beams. With unpolarized beams the leading or der 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).
Since the dawn of the new millennium, there has been a revived interest in the concept of extra dimensions.In this scenario all the standard model matter and gauge fields are confined to the 4 dimensions and only gravity can escape to higher dimensio ns of the universe.This idea can be tested using table-top experiments, collider experiments, astrophysical or cosmological observations. The main astrophysical constraints come from the cooling rate of supernovae, neutron stars, red giants and the sun. In this article, we consider the energy loss mechanism of SN1987A and study the constraints it places on the number and size of extra dimensions and the higher dimensional Planck scale.
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