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Supersymmetric radiative corrections on $μ - τ$ neutrino refraction including possible R-parity breaking interactions

C.-C. Jean-Louis^†

Institut de Physique Nucléaire, CNRS/IN2P3 UMR 8608 and Université Paris-Sud 11, Bât. 100, F-91406 Orsay cedex, France

Laboratoire de Physique Théorique, CNRS UMR 8627, Bât. 210, Université Paris-Sud 11, 91405 Orsay Cedex, France

^*gava@ipno.in2p3.fr
^†charles.jean-louis@th.u-psud.fr

Phys. Rev. D 81, 013003 – Published 22 January, 2010

DOI: https://doi.org/10.1103/PhysRevD.81.013003

Abstract

In this paper we investigate the one-loop radiative corrections to the neutrino indices of refraction from supersymmetric models. We consider the next-to-minimal supersymmetric extension of the standard model which happens to be a better supersymmetric candidate than the minimal supersymmetric standard model for both theoretical and experimental reasons. We scan the relevant supersymmetry parameters and identify regions in the parameter space which yield interesting values for $V_{μ τ}$ . If R-parity is broken there are significant differences between the minimal supersymmetric standard model and next-to-minimal supersymmetric extension of the standard model contributions contrary to the R-parity conserved case. Finally, for a nonzero $C P$ -violating phase, we show analytically that the presence of $V_{μ τ}$ will explicitly imply $C P$ -violation effects on the supernova electron (anti)neutrino fluxes.

Article Text

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