On Lorentz violation in e− ⁣ ⁣+ ⁣e+ ⁣→ ⁣μ− ⁣ ⁣+ ⁣μ+e^{-}\!\!+\!e^{+}\!\rightarrow\!\mu^{-}\!\!+\!\mu^{+} scattering at finite temperature

Small violation of Lorentz and CPT symmetries may emerge in models unifying gravity with other forces of nature. An extension of the standard model with all possible terms that violate Lorentz and CPT symmetries are included. Here a CPT-even non-minimal coupling term is added to the covariant derivative. This leads to a new interaction term that breaks the Lorentz symmetry. Our main objective is to calculate the cross section for the $e^{-}\!\!+\!e^{+}\!\rightarrow\!\mu^{-}\!\!+\!\mu^{+}$ scattering in order to investigate any violation of Lorentz and/or CPT symmetry at finite temperature. Thermo Field Dynamics formalism is used to consider finite temperature effects.Comment: 12 pages, 1 figure, accepted for publication in PL

Analysis of equilibrium in industrial variables through Error Correction Models

This research aimed to evaluate the relationship between variables of the temperature adjustment and the percentage of heating in the molding oven of the Polyethylene Terephthalate Resin (PTR) used in the manufacture of the preform of two-liter bottles. It also investigated the direction of causality between these variables in order to determine how an external shock is transmitted to the system. Vector Error Correction (VEC) methodology was used to carry out this study. It was possible to identify the variable to be monitored and estimate the minimum time for the system to reach the stability of the oven temperature