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Using the minimal extension of Standard Model taking into account the charge radius and the anapole moments of neutrino, we have derived analytic expressions for the stellar energy loss rates due to the production of the neutrino pair process in a hot plasma for three limiting regimes (nondegenerate, intermediate and degenerate electrons) of temperature, the electron’s chemical potential and plasma’s energy. Obtained results show that there is approximately extra contribution by using the considered calculations.

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