4,489 research outputs found
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.
The longlived charged massive scalar field in the higher-dimensional Reissner--Nordstr\"{o}m spacetime
The quasinormal resonance frequency of the higher-dimensional
Reissner--Nordstr\"{o}m (RN) black hole due to charged massive scalar field
perturbation is deduced analytically in the eikonal regime. The characteristic
decay timescale of the charged massive scalar perturbation in the background of
the higher-dimensional RN spacetime is then obtained. The result reveals that
longlived charged massive scalar field can exist in higher-dimensional RN
spacetime under a certain condition.Comment: 6 pages, 1 figur
Nucleation of membrane adhesions
Recent experimental and theoretical studies of biomimetic membrane adhesions [Bruinsma et al., Phys. Rev. E 61, 4253 (2000); Boulbitch et al., Biophys. J. 81, 2743 (2001)] suggested that adhesion mediated by receptor interactions is due to the interplay between membrane undulations and a double-well adhesion potential, and should be a first-order transition. We study the nucleation of membrane adhesion by finding the minimum-energy path on the free energy surface constructed from the bending free energy of the membrane and the double-well adhesion potential. We find a nucleation free energy barrier around 20kBT for adhesion of flexible membranes, which corresponds to fast nucleation kinetics with a time scale of the order of seconds. For cell membranes with a larger bending rigidity due to the actin network, the nucleation barrier is higher and may require active processes such as the reorganization of the cortex network to overcome this barrier. Our scaling analysis suggests that the geometry of the membrane shapes of the adhesion contact is controlled by the adhesion length that is determined by the membrane rigidity, the barrier height, and the length scale of the double-well potential, while the energetics of adhesion is determined by the depths of the adhesion potential. These results are verified by numerical calculations
The effective neutrino mass of neutrinoless double-beta decays: how possible to fall into a well
If massive neutrinos are the Majorana particles and have a normal mass
ordering, the effective mass term of a neutrinoless
double-beta () decay may suffer significant cancellations among
its three components and thus sink into a decline, resulting in a "well" in the
three-dimensional graph of against the smallest
neutrino mass and the relevant Majorana phase . We present a new
and complete analytical understanding of the fine issues inside such a well,
and discover a novel threshold of in terms of the
neutrino masses and flavor mixing angles: in connection with and . This threshold point, which links the
{\it local} minimum and maximum of , can be used to
signify observability or sensitivity of the future -decay
experiments. Given current neutrino oscillation data, the possibility of
is found to be
very small.Comment: 9 pages, 3 figures, version to appear in Eur. Phys. J.
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