Neutrino dispersion relations at finite temperature and density in the Left-Right Symmetric Model

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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19 pages, 1 figure, section changes, types corrected

Scientific paper

On this work we calculate the most general left-handed neutrino self-energy at one-loop order in perturbation theory using the Mellin summation technique. We perform this calculation in the real-time formalism of quantum field theory at finite temperature and density assuming that there exists an excess of leptons over antileptons in the medium. Thus we obtain for the first time a general expression for the fermionic effective thermal mass which depends on fermion mass, gauge boson mass, fermionic chemical potential and temperature. As an application of these results into the context of the Left-Right Symmetric Model we calculate the left-handed neutrino dispersion relations and we obtain the corresponding effective thermal masses from the unbroken, parity-broken and fully-broken phases.

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