Laboratory frame analysis of $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ scattering in the Noncommutative Standard Model

Abstract

We study the muon pair production $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ in the framework of the non-minimal noncommutative(NC) standard model to the second order of the NC parameter ${\Theta }_{\mu \nu }$. The $\mathcal{O}({\Theta }^2)$ momentum dependent NC interaction significantly modifies the cross section and angular distributions which are different from the standard model. After including the effects of earth's rotation we analyse the time-averaged and time dependent observables in detail. The time-averaged azimuthal distribution of the cross section shows siginificant departure from the standard model. We find strong dependence of the total cross section(time- averaged) and their distributions on the orientation of the noncommutative electric vector (${\vec{\Theta }}_E$). The periodic variation of the total cross-section with time over a day seems to be startling and can be thoroughly probed at the upcoming Linear Collider(LC).

16 pages, 10 eps figures. Earlier version is replaced. Text has been rewritten.Conclusion is unchanged

References in corpus (15)

• Improved Z -> gamma gamma decay in the renormalizable gauge sector of the noncommutative standard model
• The Noncommutative Standard Model at O(theta^2)
• Spacetime noncommutativity and ultra-high energy cosmic ray experiments
• Non-commutative SU(N) gauge theories and asymptotic freedom
• The absence of the 4$\psi$ divergence in noncommutative chiral models
• Lorentz Conserving Noncommutative Standard Model
• Photon-neutrino interaction in theta-exact covariant noncommutative field theory
• Massive Neutrino in Non-commutative Space-time
• Chiral fermions in noncommutative electrodynamics: renormalizability and dispersion
• Noncommutative GUT inspired theories and the UV finiteness of the fermionic four point functions
• Location and Direction Dependent Effects in Collider Physics from Noncommutativity
• $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ scattering in the Noncommutative standard model
• Möller and Bhabha scattering in the noncommutative standard model
• Noncommutative GUT inspired theories with U(1), SU(N) groups and their renormalisability
• A bound on the scale of spacetime noncommutativity from the reheating phase after inflation

Cited by in corpus (2)

• Drell-Yan as an avenue to test noncommutative Standard Model at the Large Hadron Collider
• Search for associated production of Higgs with Z boson in the noncommutative Standard Model at linear colliders