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Temperature effects for \(e^-+e^+\rightarrow \mu ^-+\mu ^+\) scattering in very special relativity

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Abstract

The electron-positron scattering process is investigated in the context of very special relativity (VSR). This theory assumes that the true symmetry of nature is not the full Lorentz group, but some of its subgroups, such as the subgroups SIM(2) and HOM(2). In this context, the cross-section for electron-positron scattering at finite temperature is calculated. The effects of temperature are introduced using the Thermo Field Dynamics (TFD) formalism. Our result shows that the cross-section is changed due to both effects, the VSR contributions and temperature effects. An estimated value for the VSR parameter using experimental data available in the literature is discussed.

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Acknowledgements

This work by A. F. S. is supported by National Council for Scientific and Technological Development - CNPq projects 430194/2018-8 and 313400/2020-2.

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Authors and Affiliations

  1. Instituto de Física, Universidade Federal de Mato Grosso, Cuiabá, Mato Grosso, 78060-900, Brazil

    A. F. Santos

  2. Physics Department, Theoretical Physics Institute, University of Alberta, Edmonton, Alberta, Canada

    Faqir C. Khanna

  3. Department of Physics and Astronomy, University of Victoria, 3800 Finnerty Road, Victoria, BC, V8P 5C2, Canada

    Faqir C. Khanna

Authors
  1. A. F. Santos
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  2. Faqir C. Khanna
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Correspondence to A. F. Santos.

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Santos, A.F., Khanna, F.C. Temperature effects for \(e^-+e^+\rightarrow \mu ^-+\mu ^+\) scattering in very special relativity. Eur. Phys. J. Plus 137, 101 (2022). https://doi.org/10.1140/epjp/s13360-021-02312-z

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