Mass-varying neutrino oscillations Danny Marfatia University of Kansas with V. Barger and K. Whisnant (hep-ph/ )

Why mass-varying neutrinos? R. Fardon, A. Nelson, N. Weiner quintessence without extremely light scalars ( eV) Consequenc es new matter effects in neutrino oscillations… neutrino masses vary with their number density neutrino masses vary with matter density if the scalar couples to matter

Parameterize an element of the mass-squared matrix as Assume as density dependence for the M ij

MaVaNs can explain all post-MiniBooNE data 3 positive signals for neutrino path in Earth’s crust: KamLAND, K2K, LSND Need 3 independent mass-squared differences 3-MaVaN model is insufficient

Framework 3+1 MaVaN model Assumptions: No vacuum mixing between active and sterile neutrinos Sterile neutrino massless in vacuum

Mixing matrix that connects flavor and mass eigenstates in vacuum

Sterile mixing angle  diagonalizes M 2 Mixing matrix between flavor and mass eigenstates in matter

Spectrum relevant to KamLAND, K2K, LSND

Constraints from other experiments? At the atmospheric scale: Weaker Palo Verde bound applies At the LSND scale:

LSND oscillation amplitude Look for solutions with sin 2  « 1 2) KamLAND and solar oscillation probabilities are approximately the same as in the 3-neutrino case

CDHSW bound  Gosgen/Krasnoyarsk bound Need only consider the CDHSW bound

Constraints from atmospheric data Atmospheric neutrinos do not pass only through the Earth’s crust  M 2 and V vary with path

If  is small, sterile mixing will not upset atmospheric neutrino fits.

What if MiniBooNE reports a null result? New allowed region comfortably explained

Still need to show that the model gives the correct  m 2 for K2K and atmospheric neutrinos Largest oscillation signal occurs for core-crossing upward events

Model is insensitive to k and r Model will fit atmospheric data well

Not enough!

Solar neutrinos? density in sun » density in earth

Consistency with Bugey and CHOOZ?

Signatures 3+1 MaVaN model explains all oscillation data including LSND and a null-MiniBooNE result - Underground reactor experiments (Angra, Braidwood, Daya Bay, KASKA) should see a signal The above-ground Double-CHOOZ should not see a signal