In this work we study the sensitivity on the anomalous magnetic and electric dipole moments of the tau-neutrino in the framework of theat future e + e − linear colliders as the ILC and CLIC. For our study we consider the process

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It is known that the dipole moments of the neutrino lead to important astrophysical and cosmological effects. In this regard, within the context of a U (1) B−L model, we develop and present novel analytical formulas to assess the effects of the anomalous magnetic moment and electric dipole moment of the neutrino on the stellar energy loss rates through some common physical process of pair-annihilation e + e − → (γ, Z, Z ′ ) → ν ν. Our results show that the stellar energy loss rates strongly depends on the effective magnetic moment of the neutrino, but also on the parameters which characterize the adopted U (1) B−L model.