Nucleon structure functions in noncommutative space-time

Abstract

In the context of noncommutative space-time, we investigate the nucleon structure functions which plays an important role to identify the internal structure of nucleons. We use the corrected vertices and employ new vertices that appear in two approaches of noncommutativity and calculate the proton structure functions in terms of noncommutative tensor θ_{μν}. To check our result, we plot the nucleon structure function (NSF), F_2(x), and compare it with experimental data and the result coming out from the GRV, GJR and CT10 parametrization models. We show that new vertex which is arising the noncommutativity correction will lead us to better consistency between theoretical result and experimental data for NSF. This consistency would be better at small values of x-Bjorken variable. To indicate and confirm the validity of our calculations, we also act conversely and obtain an lower bound for the numerical values of Λ_{NC} scale which are corresponding to the recent reports.

28 pages, 5 figuree

References in corpus (17)

• Parton distributions for the LHC
• New parton distributions for collider physics
• Parton Distributions for LHC
• Probing the Noncommutative Standard Model at Hadron Colliders
• Improved Z -> gamma gamma decay in the renormalizable gauge sector of the noncommutative standard model
• Spacetime noncommutativity and ultra-high energy cosmic ray experiments
• Semi-Leptonic Decay of a Polarized Top Quark in the Noncommutative Standard Model
• Möller and Bhabha scattering in the noncommutative standard model
• Particle phenomenology on noncommutative spacetime
• Drell-Yan as an avenue to test noncommutative Standard Model at the Large Hadron Collider
• Hydrogen and muonic-Hydrogen Atomic Spectra in Non-commutative Space-Time
• The Noncommutative Standard Model and Polarization in Charged Gauge Boson Production at the LHC
• Noncommutative Standard Model in Top Quark Sector
• Search for associated production of Higgs with Z boson in the noncommutative Standard Model at linear colliders
• Higgs production in $e^{-}{e}^{+}$ collisions as a probe of noncommutativity
• Parton densities with the quark linear potential in the statistical approach
• High energy cosmic rays experiments inspired by noncommutative quantum field theory

Cited by in corpus (3)

• The LHC Drell-Yan Measurements as a Constraint for the Noncommutative Space-Time
• Azimuthal polarization of polarized top quark in noncommutative standard model
• Impact of new particles on the ratio of Electromagnetic form factors