A new three-flavor oscillation solution of the solar neutrino deficit in $R$-parity violating supersymmetry

R. Adhikari; A. Sil; A. Raychaudhuri

doi:doi:10.1007/s10052-002-0946-6

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2022 Impact factor 4.4

Particles and Fields

Eur. Phys. J. C 25, 125-130 (2002)
DOI: 10.1007/s10052-002-0946-6

A new three-flavor oscillation solution of the solar neutrino deficit in R-parity violating supersymmetry

R. Adhikari^{1, 2}, A. Sil¹, A. Raychaudhuri¹ and ²

¹ Department of Physics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata 700 009, India
² Jagadis Bose National Science Talent Search, 716 Jogendra Gardens, Kasba, Kolkata 700 078, India

(Received: 26 December 2001 / Revised version: 16 February 2002 / Published online: 26 July 2002 )

Abstract
We present a solution of the solar neutrino deficit using three flavors of neutrinos and R-parity non-conserving supersymmetry. In this model, in vacuum, the $\nu_e$ is massless and unmixed, mass and mixing being restricted to the $\nu_\mu$ - $\nu_\tau$ sector only, which we choose in consistency with the requirements of the atmospheric neutrino anomaly. The flavor changing and flavor diagonal neutral currents present in the model and the three-flavor picture together produce an energy dependent resonance-induced $\nu_e$ - $\nu_\mu$ mixing in the sun. This mixing plays a key role in the new solution to the solar neutrino problem. The best fit to the solar neutrino rates and spectrum (1258-day SK and 241-day SNO data) requires a mass square difference of $\sim 10^{-5}$ eV ² in vacuum between the two lightest neutrinos. This solution cannot accommodate a significant day-night effect for solar neutrinos nor CP violation in terrestrial neutrino experiments.