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Thermal Bhabha scattering under the influence of non-hermiticity effects

D. S. Cabral, A. F. Santos, R. Bufalo

Abstract

In this paper, we investigate the Bhabha scattering process within the framework of non-Hermitian QED at finite temperature. In this theory, the hermiticity condition, typically required in quantum field theory to ensure the reality of physical observables, is replaced by the condition of unbroken $PT$-symmetry which favors the introduction of an axial mass and a vector-axial gauge coupling. Using the Thermofield Dynamics formalism, we derive and comprehensively analyze the thermal differential cross section for the Bhabha scattering. Furthermore, we explore the high-energy limit of the scattering amplitude and establish constraints upon the axial coupling constant, offering valuable insights into the system's behavior under extreme conditions.

Thermal Bhabha scattering under the influence of non-hermiticity effects

Abstract

In this paper, we investigate the Bhabha scattering process within the framework of non-Hermitian QED at finite temperature. In this theory, the hermiticity condition, typically required in quantum field theory to ensure the reality of physical observables, is replaced by the condition of unbroken -symmetry which favors the introduction of an axial mass and a vector-axial gauge coupling. Using the Thermofield Dynamics formalism, we derive and comprehensively analyze the thermal differential cross section for the Bhabha scattering. Furthermore, we explore the high-energy limit of the scattering amplitude and establish constraints upon the axial coupling constant, offering valuable insights into the system's behavior under extreme conditions.
Paper Structure (7 sections, 35 equations, 2 figures, 1 table)

This paper contains 7 sections, 35 equations, 2 figures, 1 table.

Table of Contents

  1. Introduction
  2. Preliminaries of the Scattering Process
  3. Explicit solution for non-hermitian QED
  4. The TFD formalism
  5. The Bhabha scattering process
  6. Conclusions
  7. Auxiliary functions for Eq. \ref{['eq07']}

Figures (2)

  • Figure 1: Feynman diagrams for the Bhabha scattering process, illustrating the $s-$ channel (a) and $t-$ channel (b) contributions.
  • Figure 2: The differential cross sections (multiplied by the squared centre of mass energy) for the QED (solid green line) and non-hermitian QED (dashed black line) in terms of the experimental data of 29gev at $\sqrt{s}=29$ GeV (down blue marker) and 43gev at $\sqrt{s}=43.6$ GeV (up red marker) in terms of $\cos{\theta}$.