Neutrino flavor ratios as diagnostic of solar WIMP annihilation
- Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA 02139 (United States)
- Department of Physics and Astronomy, Vanderbilt University, Nashville, TN 37235 (United States)
We consider the neutrino (and antineutrino) flavors arriving at the Earth for neutrinos produced in the annihilation of weakly interacting massive particles (WIMPs) in the sun's core. Solar-matter effects on the flavor propagation of the resulting > or approx. GeV neutrinos are studied analytically within a density-matrix formalism. Matter effects, including mass-state level crossings, influence the flavor fluxes considerably. The exposition herein is somewhat pedagogical, in that it starts with adiabatic evolution of single flavors from the sun's center, with {theta}{sub 13} set to zero, and progresses to fully realistic processing of the flavor ratios expected in WIMP decay, from the sun's core to the Earth. In the fully realistic calculation, nonadiabatic level crossing is included, as are possible nonzero values for {theta}{sub 13} and the CP-violating phase {delta}. Because of resonance enhancement in matter, nonzero values of {theta}{sub 13} even smaller than a degree can noticeably affect flavor propagation. Both normal and inverted neutrino-mass hierarchies are considered. Our main conclusion is that measuring flavor ratios (in addition to energy spectra) of > or approx. GeV solar neutrinos can provide discrimination between WIMP models. In particular, we demonstrate the flavor differences at the Earth for neutrinos from the two main classes of WIMP final states, namely W{sup +}W{sup -} and 95% bb+5% {tau}{sup +}{tau}{sup -}. Conversely, if WIMP properties were to be learned from production in future accelerators, then the flavor ratios of > or approx. GeV solar neutrinos might be useful for inferring {theta}{sub 13} and the mass hierarchy. From the full calculations, we find (and prove) some general features: a flavor-democratic flux produced at the sun's core arrives at the Earth still flavor democratic; for maximal {theta}{sub 32} but arbitrary {theta}{sub 21} and {theta}{sub 13}, the replacement {delta}{yields}{pi}-{delta} leaves the {nu}{sub e} flavor spectra unaltered but interchanges {nu}{sub {mu}} and {nu}{sub {tau}} spectra at the Earth; and, only for neutrinos in the inverted hierarchy and antineutrinos in the normal hierarchy is the dependence on the mixing phase {delta} not suppressed to order {delta}m{sub 21}{sup 2}/{delta}m{sub 32}{sup 2}.
- OSTI ID:
- 21205204
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 77, Issue 12; Other Information: DOI: 10.1103/PhysRevD.77.125004; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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