56,621 research outputs found
Tau anomalous magnetic moment form factor at Super B/Flavor factories
The proposed high-luminosity B/Flavor factories offer new opportunities for
the improved determination of the fundamental physical parameters of standard
heavy leptons. Compared to the electron or the muon case, the magnetic
properties of the lepton are largely unexplored. We show that the
electromagnetic properties of the , and in particular its magnetic form
factor, may be measured competitively in these facilities, using unpolarized or
polarized electron beams. Various observables of the 's produced on top
of the resonances, such as cross-section and normal polarization for
unpolarized electrons or longitudinal and transverse asymmetries for polarized
beams, can be combined in order to increase the sensitivity on the magnetic
moment form factor. In the case of polarized electrons, we identify a special
combination of transverse and longitudinal polarizations able to
disentangle this anomalous magnetic form factor from both the charge form
factor and the interference with the Z-mediating amplitude. For an integrated
luminosity of one could achieve a sensitivity of
about , which is several orders of magnitude below any other existing
high- or low-energy bound on the magnetic moment. Thus one may obtain a QED
test of this fundamental quantity to a few % precision.Comment: 20 pages, 4 figure
Entropy involved in fidelity of DNA replication
Information has an entropic character which can be analyzed within the
Statistical Theory in molecular systems. R. Landauer and C.H. Bennett showed
that a logical copy can be carried out in the limit of no dissipation if the
computation is performed sufficiently slowly. Structural and recent
single-molecule assays have provided dynamic details of polymerase machinery
with insight into information processing. We introduce a rigorous
characterization of Shannon Information in biomolecular systems and apply it to
DNA replication in the limit of no dissipation. Specifically, we devise an
equilibrium pathway in DNA replication to determine the entropy generated in
copying the information from a DNA template in the absence of friction. Both
the initial state, the free nucleotides randomly distributed in certain
concentrations, and the final state, a polymerized strand, are mesoscopic
equilibrium states for the nucleotide distribution. We use empirical stacking
free energies to calculate the probabilities of incorporation of the
nucleotides. The copied strand is, to first order of approximation, a state of
independent and non-indentically distributed random variables for which the
nucleotide that is incorporated by the polymerase at each step is dictated by
the template strand, and to second order of approximation, a state of
non-uniformly distributed random variables with nearest-neighbor interactions
for which the recognition of secondary structure by the polymerase in the
resultant double-stranded polymer determines the entropy of the replicated
strand. Two incorporation mechanisms arise naturally and their biological
meanings are explained. It is known that replication occurs far from
equilibrium and therefore the Shannon entropy here derived represents an upper
bound for replication to take place. Likewise, this entropy sets a universal
lower bound for the copying fidelity in replication.Comment: 25 pages, 5 figure
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