Bi-pair neutrino mixing

作者：Kitabayashi Teruyuki; Yasue Masaki^*

来源：Physics Letters B, 2011, 696(5): 478-481.

DOI：10.1016/j.physletb.2011.01.008

• Neutrino mixing
• Vanishing reactor mixing angle
• Tri-bimaximal mixing
• Strong scaling ansatz

A new type of neutrino mixing named bi-pair neutrino mixing is proposed to describe the current neutrino mixing pattern with a vanishing reactor mixing angle and is determined by a mixing matrix with two pairs of identical magnitudes of matrix elements. As a result, we predict sin(2)theta(12) = 1 - 1/root 2(approximate to 0.293) for the solar neutrino mixing and either sin(2)theta(23) = tan(2)theta(12) or cos(2)theta(23) = tan(2)theta(12) for the atmospheric neutrino mixing. We determine flavor structure of a mass matrix M. leading to diagonal masses of m(1,2,3), and find that vertical bar M(mu mu) - M(ee)/t(12)(2)vertical bar : vertical bar M(mu tau)vertical bar : vertical bar M(tau tau) - M(ee)/t(12)(2)vertical bar = t(23)(2) : vertical bar t(23)vertical bar : 1 for the normal mass hierarchy if m(1) = 0, where t(ij) = tan theta(ij) (i, j = 1, 2, 3) and M(ij) (i, j = e, mu, tau) stand for flavor neutrino masses. For the inverted mass hierarchy, the bi-pair mixing scheme turns out to satisfy the strong scaling ansatz requiring that vertical bar M(mu mu)vertical bar : vertical bar M(mu tau)vertical bar = 1 : vertical bar t(23)vertical bar : t(23)(2) if m(3) = 0.

• 出版日期2011-2-14