14,359 research outputs found
The log-convexity of the poly-Cauchy numbers
In 2013, Komatsu introduced the poly-Cauchy numbers, which generalize Cauchy
numbers. Several generalizations of poly-Cauchy numbers have been considered
since then. One particular type of generalizations is that of
multiparameter-poly-Cauchy numbers. In this paper, we study the log-convexity
of the multiparameter-poly-Cauchy numbers of the first kind and of the second
kind. In addition, we also discuss the log-behavior of
multiparameter-poly-Cauchy numbers
Understanding for flavor physics in the lepton sector
In this paper, we give a model for understanding flavor physics in the lepton
sector--mass hierarchy among different generations and neutrino mixing pattern.
The model is constructed in the framework of supersymmetry, with a family
symmetry . There are two right-handed neutrinos introduced for seesaw
mechanism, while some standard model(SM) gauge group singlet fields are
included which transforms non-trivially under family symmetry. In the model,
each order of contributions are suppressed by compared to the
previous one. In order to reproduce the mass hierarchy, and
, and are obtained
at leading-order(LO) and next-to-leading-order(NLO) respectively, while
electron can only get its mass through
next-to-next-to-next-to-leading-order(NNNLO) contributions. For neutrino mixing
angels, are
i.e. Bi-maximal mixing pattern as first approximation, while higher order
contributions can make them consistent with experimental results. As
corrections for and originate from the same
contribution, there is a relation predicted for them
. Besides, deviation from
for should have been as large as
deviation from 0 for if it were not the former is suppressed by a
factor 4 compared to the latter.Comment: version to appear in Phys. Rev.
On the four-zero texture of quark mass matrices and its stability
We carry out a new study of quark mass matrices (up-type) and
(down-type) which are Hermitian and have four zero entries, and
find a new part of the parameter space which was missed in the previous works.
We identify two more specific four-zero patterns of and
with fewer free parameters, and present two toy flavor-symmetry
models which can help realize such special and interesting quark flavor
structures. We also show that the texture zeros of and
are essentially stable against the evolution of energy scales in
an analytical way by using the one-loop renormalization-group equations.Comment: 33 pages, 4 figures, minor comments added, version to appear in Nucl.
Phys.
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