Inferring the covariant $\Theta$-exact noncommutative coupling in the top quark pair production at linear colliders

Abstract

A novel non-minimal interaction of neutral right-handed fermion and abelian gauge field in the covariant $\Theta$-exact noncommutative standard model (NCSM) which is invariant under Very Special Relativity (VSR) Lorentz subgroup, opens an avenue to study the top quark pair production at linear colliders. Here the coupling denoted as $\kappa$ and the noncommutative (NC) scale $\Lambda$. In this work, we consider two types of analysis, one is without considering helicity basis and another, considering helicity states of the polarized and unpolarized initial and final particles. In the first case, when $\kappa$ is positive and for certain values of $\Lambda$, we arrived a specific threshold value of machine energy (units of GeV) $\sqrt{s_0}$ ($\simeq 2.52\Lambda +39$ ) may be quite useful to probe NCSM with the unpolarized beam. The statistical ${\chi }^2$ analysis of the azimuthal anisotropy is quite possible when $\kappa$ takes negative value $0>\kappa >-0.596$ which persuade a lower limit on NC scale $\Lambda$ ($1.0\text{to}2.4\text{TeV}$) at ${\kappa }_{max}=-0.296(95\%$ C.L) according to luminosity ranging from $100f{b}^{-1}\text{to}1000f{b}^{-1}$ at machine energy $\sqrt{s}=1.4\text{TeV}\text{and}3.0\text{TeV}$. In another case, we performed polarized beam analysis to probe NCSM in the light of following observables azimuthal anisotropy, helicity correlation, and top quark helicity left-right asymmetry. The polarization of the initial beam $\{P_{e^{-}},P_{e^{+}}\}=\{-0.8,0.3\}(\{-0.8,0.6\})$ enhances the ranges of lower limit on $\Lambda$, $i.e.1.13\text{to}2.80\text{TeV}$ at ${\kappa }_{max}$ alongside the ${\kappa }_{max}$ enhanced into $-0.5445(-0.607)$ $95\%$C.L accord with luminosity and $\sqrt{s}$. Finally, we studied the intriguing mixing of the UV and the IR by invoking $T(2)$ VSR Lorentz subgroup symmetry on NC tensor ${\Theta }_{\mu \nu }$.

36 pages, 14 figures, and 2 tables

References in corpus (17)

• Very Special Relativity
• Spin Correlation Effects in Top Quark Pair Production at the LHC
• Statistics and UV-IR Mixing with Twisted Poincare Invariance
• A translation-invariant renormalizable non-commutative scalar model
• Improved Z -> gamma gamma decay in the renormalizable gauge sector of the noncommutative standard model
• Probing the Noncommutative Standard Model at Hadron Colliders
• Spacetime noncommutativity and ultra-high energy cosmic ray experiments
• Messengers from the Early Universe: Cosmic Neutrinos and Other Light Relics
• Constraining noncommutative field theories with holography
• Lorentz Conserving Noncommutative Standard Model
• Semi-Leptonic Decay of a Polarized Top Quark in the Noncommutative Standard Model
• Quantum duality under the theta-exact Seiberg-Witten map
• Weak Gravity Conjecture for Noncommutative Field Theory
• The Noncommutative Standard Model and Polarization in Charged Gauge Boson Production at the LHC
• Hadronization, spin, and lifetimes
• Higgs production in $e^{-}{e}^{+}$ collisions as a probe of noncommutativity
• Symmetries, Microcausality and Physics on Canonical Noncommutative Spacetime