1,651 research outputs found
The generating functional for hadronic weak interactions and its quenched approximation
We derive the generating functional of hadronic weak
interactions at one loop for a generic number of flavours and its counterpart
in the quenched approximation. A systematic analysis of the ultraviolet
divergences in the full theory (with and without a singlet dynamical field) and
in the quenched case is performed. We show that the quenched chiral logarithms
in the presence of weak interactions amount to a redefinition of the weak mass
term in the weak effective Lagrangian at leading order.
Finally, we apply the results to and matrix elements with
to analyze the modifications induced by quenching on the
coefficients of chiral logarithms in the one-loop corrections.Comment: 44 pages, Latex, uses epsfig.sty, 2 postscript figure
Indirect signals from light neutralinos in supersymmetric models without gaugino mass unification
We examine indirect signals produced by neutralino self-annihilations, in the
galactic halo or inside celestial bodies, in the frame of an effective MSSM
model without gaugino-mass unification at a grand unification scale. We compare
our theoretical predictions with current experimental data of gamma-rays and
antiprotons in space and of upgoing muons at neutrino telescopes. Results are
presented for a wide range of the neutralino mass, though our discussions are
focused on light neutralinos. We find that only the antiproton signal is
potentially able to set constraints on very low-mass neutralinos, below 20 GeV.
The gamma-ray signal, both from the galactic center and from high galactic
latitudes, requires significantly steep profiles or substantial clumpiness in
order to reach detectable levels. The up-going muon signal is largely below
experimental sensitivities for the neutrino flux coming from the Sun; for the
flux from the Earth an improvement of about one order of magnitude in
experimental sensitivities (with a low energy threshold) can make accessible
neutralino masses close to O, Si and Mg nuclei masses, for which resonant
capture is operative.Comment: 17 pages, 1 tables and 5 figures, typeset with ReVTeX4. The paper may
also be found at http://www.to.infn.it/~fornengo/papers/indirect04.ps.gz or
through http://www.astroparticle.to.infn.it/. Limit from BR(Bs--> mu+ mu-)
adde
Evidence for non-exponential elastic proton-proton differential cross-section at low |t| and sqrt(s) = 8 TeV by TOTEM
The TOTEM experiment has made a precise measurement of the elastic
proton-proton differential cross-section at the centre-of-mass energy sqrt(s) =
8 TeV based on a high-statistics data sample obtained with the beta* = 90
optics. Both the statistical and systematic uncertainties remain below 1%,
except for the t-independent contribution from the overall normalisation. This
unprecedented precision allows to exclude a purely exponential differential
cross-section in the range of four-momentum transfer squared 0.027 < |t| < 0.2
GeV^2 with a significance greater than 7 sigma. Two extended parametrisations,
with quadratic and cubic polynomials in the exponent, are shown to be well
compatible with the data. Using them for the differential cross-section
extrapolation to t = 0, and further applying the optical theorem, yields total
cross-section estimates of (101.5 +- 2.1) mb and (101.9 +- 2.1) mb,
respectively, in agreement with previous TOTEM measurements.Comment: Final version published in Nuclear Physics
Cohesion and subsidiarity: towards good territorial governance in Europe
The message of this paper is twofold: (a) the pursuit of territorial cohesion, the importance of which the new European Constitution recognises, requires coordination of national planning systems; and (b) subsidiarity, a Community principle usually invoked to counteract it, should instead become the principle underlying a feasible and effective form of such coordination at the EU (European Union) level. Indeed, the Constitution should at least encourage planners to discuss principles of good EU territorial governance by addressing the performance of statutory planning systems in the common area of territorial cohesion. In brief, these principles might be termed vertical subsidiarity, horizontal subsidiarity, and the coordination between subsidiarity and cohesion
On the Implementation of Constraints through Projection Operators
Quantum constraints of the type Q \psi = 0 can be straightforwardly
implemented in cases where Q is a self-adjoint operator for which zero is an
eigenvalue. In that case, the physical Hilbert space is obtained by projecting
onto the kernel of Q, i.e. H_phys = ker(Q) = ker(Q*). It is, however,
nontrivial to identify and project onto H_phys when zero is not in the point
spectrum but instead is in the continuous spectrum of Q, because in this case
the kernel of Q is empty.
Here, we observe that the topology of the underlying Hilbert space can be
harmlessly modified in the direction perpendicular to the constraint surface in
such a way that Q becomes non-self-adjoint. This procedure then allows us to
conveniently obtain H_phys as the proper Hilbert subspace H_phys = ker(Q*), on
which one can project as usual. In the simplest case, the necessary change of
topology amounts to passing from an L^2 Hilbert space to a Sobolev space.Comment: 22 pages, LaTe
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