Flavour-dependent radiative correction to neutrino-neutrino refraction

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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15 pages, 6 figures; updated reference list

Scientific paper

10.1088/1126-6708/2009/10/020

In the framework of the Standard Model we calculate the flavour non-universal correction for neutrino refraction in a neutrino background and verify a similar previous result for the case of ordinary-matter background. The dominant term arises at loop level and involves tau leptons circulating in the loop. These O(G_F m_tau^2) corrections to the tree-level potential provide the dominant refractive difference between nu_mu and nu_tau unless the medium contains mu or tau leptons. Our results affect the flavour evolution of dense neutrino gases and may be of interest for collective three-flavour oscillations of supernova neutrinos. We spell out explicitly how these non-universal neutrino-neutrino interactions enter the flavour oscillation equations.

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