Gravity effects on neutrino masses in split supersymmetry

Abstract

The mass differences and mixing angles of neutrinos can neither be explained by R-parity violating split supersymmetry nor by flavor blind quantum gravity alone. It is shown that combining both effects leads, within the allowed parameter range, to good agreement with the experimental results. The atmospheric mass is generated by supersymmetry through mixing between neutrinos and neutralinos, while the solar mass is generated by gravity through flavor blind dimension five operators. Maximal atmospheric mixing forces the tangent squared of the solar angle to be equal to 1=2. The scale of the quantum gravity operator is predicted within a 5% error, implying that the reduced Planck scale should lie around the grand unified theory scale. In this way, the model is very predictive and can be tested at future experiments.

Non-renormalizable operators for solar neutrino mass generation in Split SuSy with bilinear R-parity violation

“…In order to obtain a second mass scale in Split Supersymmetry one alternative is to include extra contributions which go beyond the original SS or MSSM field content. For example an extra contribution from gravity has been studied in [12]. We consider here a different alternative, namely the effect of neglected contributions from non-renormalizable operators that arise from the original MSSM Lagrangian.…”

“…as can be read from eqs. (9) and (12). It is by virtue of a the second term that one can expect an additional non-vanishing neutrino mass scale.…”

Nondiagonal charged lepton Yukawa matrix: Effects on neutrino mixing in supersymmetry

“…The shift in the allowed region from left (sin α ≈ 0.0695) to right (sin α = 0) is much smaller than in the solar angle case, but the numerical contribution to χ 2 from the reactor angle is much larger, making the reactor angle the most decisive factor in the influence of the diagonalization of the charged lepton mass matrix. We also mention that the prediction in [5] that µ g = O(0.01) eV is not affected by the scenario where the charged lepton mass matrix is not diagonal, since µ g is in first approximation restricted only by mass differences.…”

“…[5] that neutrino mass squared differences predict values µ g ∼ 3 × 10 −3 eV. This corresponds to a reduced Planck mass M X ∼ 2 × 10 16 GeV, remarkably close to the GUT mass scale.…”

“…First, the 3σ upper bound sin 2 θ 13 < 0.035 [25] implies that a good approximation, as in [5], is λ 2 1 ≪ λ 2 2 + λ 2 3 . Therefore, the correction on sin 2 θ 13 may be very significant since both terms in cλ 1 + sλ 2 are comparable.…”