scholarly journals Prospects for Lorentz invariance violation searches with top pair production at the LHC and future hadron colliders

2020 ◽  
Vol 80 (2) ◽  
Author(s):  
Aurélien Carle ◽  
Nicolas Chanon ◽  
Stéphane Perriès
Keyword(s):  
Pair Production ◽  
Lorentz Invariance ◽  
Hadron Colliders ◽  
Invariance Violation ◽  
Lorentz Invariance Violation ◽  
Top Pair Production

scholarly journals Lorentz Violation Footprints in the Spectrum of High-Energy Cosmic Neutrinos—Deformation of the Spectrum of Superluminal Neutrinos from Electron-Positron Pair Production in Vacuum

Symmetry ◽  
2019 ◽  
Vol 11 (11) ◽  
pp. 1419 ◽  
Author(s):  
José Manuel Carmona ◽  
José Luis Cortés ◽  
José Javier Relancio ◽  
Maykoll Anthonny Reyes
Keyword(s):  
Pair Production ◽  
Numerical Simulations ◽  
Lorentz Invariance ◽  
Lorentz Violation ◽  
High Energy ◽  
Energy Scale ◽  
Invariance Violation ◽  
Electron Positron ◽  
Lorentz Invariance Violation ◽  
Electron Positron Pair

The observation of cosmic neutrinos up to 2 PeV is used to put bounds on the energy scale of Lorentz invariance violation through the loss of energy due to the production of e + e - pairs in the propagation of superluminal neutrinos. A model to study this effect, which allows us to understand qualitatively the results of numerical simulations, is presented.

scholarly journals Topologically non-trivial solution in a dissipative φ4 model with Lorentz-invariance violation

2021 ◽  
Vol 57 (3) ◽  
pp. 347-352
Author(s):  
M. A. Knyazev
Keyword(s):  
Trivial Solution ◽  
Lorentz Invariance ◽  
Analytical Form ◽  
Equation Of Motion ◽  
Hirota Method ◽  
Partial Derivatives ◽  
Invariance Violation ◽  
Lorentz Invariance Violation

In this paper a (1+1)-dimension equation of motion for φ4-theory is considered for the case of simultaneously taking into a account of the processes of dissipation and violation the Lorentz-invariance. A topological non-trivial solution of one-kink type for this equation is constructed in an analytical form. To this end, the modified direct Hirota method for solving the nonlinear partial derivatives equations was used. A modification of the method lead to special conditions on the parameters of the model and the solution.

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