Symmetries in neutrino-electron scattering

Statistics – Computation

Scientific paper

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Distribution Functions, Electron Scattering, Electrons, Elementary Particle Interactions, Kernel Functions, Neutrinos, Scattering Functions, Thermodynamic Equilibrium, Algorithms, Eddington Approximation, Momentum Transfer

Scientific paper

The symmetries of the neutrino-electron scattering kernel are exposed. The kernel must explicitly conserve particle number at each vertex and vanish in local thermodynamic equilibrium. I show that the latter requirement must be met by the combination of detailed balance between in and out beams and a symmetry property of the kernel that until now has gone unnoticed. Exploitation of this extra symmetry approximately doubles the computational efficiency of the algorithm.

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