https://doi.org/10.1140/epjc/s10052-012-1933-1
Regular Article - Theoretical Physics
Neutrino mass matrix with no adjustable parameters
1
Department of Physics, Osaka University, Toyonaka, Osaka, 560-0043, Japan
2
Faculty of Information Science and Technology, Osaka Institute of Technology, Hirakata, Osaka, 573-0196, Japan
* e-mail: koide@het.phys.sci.osaka-u.ac.jp
Received:
27
December
2011
Revised:
19
February
2012
Published online:
23
March
2012
On the basis of the so-called “yukawaon” model, we found a special form of the neutrino mass matrix M
ν
which gives reasonable predictions. The M
ν
is given by a multiplication form made of charged lepton mass matrix M
e
and up-quark mass matrix M
u
. This M
ν
has no adjustable parameters except for those in M
e
and M
u
. Here, M
e
and M
u
are described by one parameter a
e
(real) and two parameters a
u
(complex), respectively, and those parameters are constrained by their observed mass ratios. With this form of M
ν
, in spite of having only three parameters, the M
ν
can give reasonable predictions: sin22θ
atm
≃0.99, sin22θ
13≃0.015, 
, 〈m
ee
〉≃0.0039 eV, and so on, by using observed values of m
e
/m
μ
, m
μ
/m
τ
, m
c
/m
t
, and sin2
θ
solar
as input values.
© Springer-Verlag / Società Italiana di Fisica, 2012
