3,739 research outputs found
Neutrino Masses and Mixing, Quark-lepton Symmetry and Strong Right-handed Neutrino Hierarchy
Assuming the same form of all mass matrices as motivated by quark-lepton
symmetry, we discuss conditions under which bi-large mixing in the lepton
sector can be obtained with a minimal amount of fine tuning requirements for
possible models. We assume hierarchical mass matrices, dominated by the 3-3
element, with off-diagonal elements much smaller than the larger neighboring
diagonal element. Characteristic features of this scenario are strong hierarchy
in masses of right-handed neutrinos, and comparable contributions of both
lighter right-handed neutrinos to the resulting left-handed neutrino Majorana
mass matrix. Due to obvious quark lepton symmetry, this approach can be
embedded into grand unified theories. The mass of the lightest neutrino does
not depend on details of a model in the leading order. The right-handed
neutrino scale can be identified with the GUT scale in which case the mass of
the lightest neutrino is given as (m_{top}^2/M_{GUT}) |U_{\tau 1}|^2.Comment: 7 page
Incidence of -statistics in rank distributions
We show that size-rank distributions with power-law decay (often only over a
limited extent) observed in a vast number of instances in a widespread family
of systems obey Tsallis statistics. The theoretical framework for these
distributions is analogous to that of a nonlinear iterated map near a tangent
bifurcation for which the Lyapunov exponent is negligible or vanishes. The
relevant statistical-mechanical expressions associated with these distributions
are derived from a maximum entropy principle with the use of two different
constraints, and the resulting duality of entropy indexes is seen to portray
physically relevant information. While the value of the index fixes
the distribution's power-law exponent, that for the dual index
ensures the extensivity of the deformed entropy.Comment: Santa Fe Institute working paper:
http://www.santafe.edu/media/workingpapers/14-07-024.pdf. see:
http://www.pnas.org/content/early/2014/09/03/1412093111.full.pdf+htm
Possible evidence of extended objects inside the proton
Recent experimental determinations of the Nachtmann moments of the inelastic
structure function of the proton F2p(x, Q**2), obtained at Jefferson Lab, are
analyzed for values of the squared four-momentum transfer Q**2 ranging from ~
0.1 to ~ 2 (GeV/c)**2. It is shown that such inelastic proton data exhibit a
new type of scaling behavior and that the resulting scaling function can be
interpreted as a constituent form factor consistent with the elastic nucleon
data. These findings suggest that at low momentum transfer the inclusive proton
structure function originates mainly from the elastic coupling with extended
objects inside the proton. We obtain a constituent size of ~ 0.2 - 0.3 fm.Comment: 1 reference adde
Quasiclassical Equations of Motion for Nonlinear Brownian Systems
Following the formalism of Gell-Mann and Hartle, phenomenological equations
of motion are derived from the decoherence functional formalism of quantum
mechanics, using a path-integral description. This is done explicitly for the
case of a system interacting with a ``bath'' of harmonic oscillators whose
individual motions are neglected. The results are compared to the equations
derived from the purely classical theory. The case of linear interactions is
treated exactly, and nonlinear interactions are compared using classical and
quantum perturbation theory.Comment: 24 pages, CALT-68-1848 (RevTeX 2.0 macros
Numerical indications of a q-generalised central limit theorem
We provide numerical indications of the -generalised central limit theorem
that has been conjectured (Tsallis 2004) in nonextensive statistical mechanics.
We focus on binary random variables correlated in a {\it scale-invariant}
way. The correlations are introduced by imposing the Leibnitz rule on a
probability set based on the so-called -product with . We show
that, in the large limit (and after appropriate centering, rescaling, and
symmetrisation), the emerging distributions are -Gaussians, i.e., , with , and
with coefficients approaching finite values . The
particular case recovers the celebrated de Moivre-Laplace theorem.Comment: Minor improvements and corrections have been introduced in the new
version. 7 pages including 4 figure
The Symmetries of Nature
The study of the symmetries of nature has fascinated scientists for eons. The application of the formal mathematical description of
symmetries during the last century has produced many breakthroughs in
our understanding of the substructure of matter. In this talk, a number
of these advances are discussed, and the important role that George
Sudarshan played in their development is emphasize
Orbifold Family Unification
We study the possibility of complete family unification in higher-dimensional
space-time. Three families of matters in SU(5) grand unified theory are derived
from a single bulk multiplet of SU(N) gauge group (N >= 9) in the framework of
S^1/Z_2 orbifold models. In the case of the direct orbifold breaking down to
the standard model gauge group, there are models in which bulk fields from a
single multiplet and a few brane fields compose three families of quarks and
leptons.Comment: Comments added, version to appear in Physical Review D (v3);
References added (v2); 19 pages (v1
The Invisible Axion and Neutrino Masses
We show that in any invisible axion model due to the effects of effective
non-renormalizable interactions related to an energy scale near the
Peccei-Quinn, grand unification or even the Planck scale, active neutrinos
necessarily acquire masses in the sub-eV range. Moreover, if sterile neutrinos
are also included and if appropriate cyclic symmetries are imposed, it is
possible that some of these neutrinos are heavy while others are light.Comment: An example included and new references added. To appear in PR
Alternative experimental evidence for chiral restoration in excited baryons
Given existing empirical spectral patterns of excited hadrons it has been
suggested that chiral symmetry is approximately restored in excited hadrons at
zero temperature/density (effective symmetry restoration). If correct, this
implies that mass generation mechanisms and physics in excited hadrons is very
different as compared to the lowest states. One needs an alternative and
independent experimental information to confirm this conjecture. Using very
general chiral symmetry arguments it is shown that strict chiral restoration in
a given excited nucleon forbids its decay into the N \pi channel. Hence those
excited nucleons which are assumed from the spectroscopic patterns to be in
approximate chiral multiplets must only "weakly" decay into the N \pi channel,
(f_{N^*N\pi}/f_{NN\pi})^2 << 1. However, those baryons which have no chiral
partner must decay strongly with a decay constant comparable with f_{NN\pi}.
Decay constants can be extracted from the existing decay widths and branching
ratios. It turnes out that for all those well established excited nucleons
which can be classified into chiral doublets N_+(1440) - N_-(1535), N_+(1710) -
N_-(1650), N_+(1720) - N_-(1700), N_+(1680) - N_-(1675), N_+(2220) - N_-(2250),
N_+(?) - N_-(2190), N_+(?) - N_-(2600), the ratio is (f_{N^*N\pi}/f_{NN\pi})^2
~ 0.1 or much smaller for the high-spin states. In contrast, the only well
established excited nucleon for which the chiral partner cannot be identified
from the spectroscopic data, N(1520), has a decay constant into the N\pi
channel that is comparable with f_{NN\pi}. This gives an independent
experimental verification of the chiral symmetry restoration scenario.Comment: 4 pp. A new footnote with an alternative proof of impossibility of
parity doublet decay into pi + N is added. To appear in Phys. Rev. Let
Orbifold Family Unification in SO(2N) Gauge Theory
We study the possibility of family unification on the basis of SO(2N) gauge
theory on the five-dimensional space-time, . Several SO(10),
or SU(5) multiplets come from a single
bulk multiplet of SO(2N) after the orbifold breaking. Other multiplets
including brane fields are necessary to compose three families of quarks and
leptons.Comment: 28 page
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