118866996
Review of Neutrino Mass Measurements
After a brief summary of the recent achievements of neutrino physics, the concept of neutrino mass scale is clarified. The methods for the determination of the neutrino mass values are summarized and critically compared, in particular in the different and complementary contexts of cosmology, double and single beta decay. The attention is then focussed on the laboratory approaches to investigate neutrino mass. The role of neutrinoless double beta decay is explained and a short review of the present and most promising future experiments in this field is given. Single beta decay sensitivity is discussed, with brief descriptions of the KATRIN tritium experiment and of the recently proposed MARE rhenium project.
62170783
Terra Incognita 2: Exploring and Modeling Absolute Masses
After drawing the context of discussion of this parallel session, we offer a summary of the various contributions, and comment on future perspectives. We include only the few references that are useful for the discussion, and refer to the individual contributions for a complete bibliography on the related subjects.
34195400
Purification of molybdenum oxide, growth and characterization of medium size zinc molybdate crystals for the LUMINEU program
The LUMINEU program aims at performing a pilot experiment on neutrinoless double beta decay of 100 Mo using radiopure ZnMoO4 crystals operated as scintillating bolometers. Growth of high quality radiopure crystals is a complex task, since there are no commercially available molybdenum compounds with the required levels of purity and radioactive contamination. This paper discusses approaches to purify molybdenum and synthesize compound for high quality radiopure ZnMoO4 crystal growth. A combination of a double sublimation (with addition of zinc molybdate) with subsequent recrystallization in aqueous solutions (using zinc molybdate as a collector) was used. Zinc molybdate crystals up to 1.5 kg were grown by the low- thermal-gradient Czochralski technique, their optical, luminescent, diamagnetic, thermal and bolometric properties were tested.
55610143
From Cuoricino to CUORE: Investigating the inverted hierarchy region of neutrino mass
Cuoricino is a Double Beta Decay experiment operating deep underground, in the Laboratori Nazionali del Gran Sasso, Italy; at a depth of about 3500 m.w.e. The search for the 0νββ of 130Te is carried out with the bolometric technique and an upper limit of 3×1024 y (@ 90%C.L.) is set for this process. Cuoricino represents not only the most sensitive DBD Experiment presently operating but also a prototype for a next generation experiment, CUORE (Cryogenic Underground Observatory for Rare Events). The expected performance and sensitivity, based on Monte Carlo simulations and extrapolations of the present Cuoricino results, indicate that CUORE will be able to test the 0.02-0.05 eV region for the effective neutrino mass, having a high discovery potential in the inverted hierarchy region of the neutrino mass pattern.
119997612
A new technique for the identification of surface contamination in low temperature bolometric experiments
In the framework of the bolometric experiment CUORE, a new and promising technique has been developed in order to control the dangerous contamination coming from the surfaces close to the detector. In fact, by means of a composite bolometer, it is possible to partially overcome the loss of spatial resolution of the bolometer itself and to clearly identify events coming from outside.
121148985
Neutrinoless Double-Beta Decay
This paper introduces the neutrinoless double-beta decay (the rarest nuclear weak process) and 
describes the status of the research for this transition, both from the point of view of theoretical 
nuclear physics and in terms of the present and future experimental scenarios. Implications of this 
phenomenon on crucial aspects of particle physics are briefly discussed. The calculations of the nuclear 
matrix elements in case of mass mechanisms are reviewed, and a range for these quantities is proposed 
for the most appealing candidates. After introducing general experimental concepts—such as the 
choice of the best candidates, the different proposed technological approaches, and the sensitivity—we make the point on the experimental situation. Searches running or in preparation are described, providing an organic presentation which picks up similarities and differences. A critical comparison of 
the adopted technologies and of their physics reach (in terms of sensitivity to the effective Majorana 
neutrino mass) is performed. As a conclusion, we try to envisage what we expect round the corner 
and at a longer time scale.
337931
The Scaling limit of the energy correlations in non integrable Ising models
We obtain an explicit expression for the multipoint energy correlations of a non solvable two-dimensional Ising models with nearest neighbor ferromagnetic interactions plus a weak finite range interaction of strength �, in a scaling limit in which we send the lattice spacing to zero and the temperature to the critical one. Our analysis is based on an exact mapping of the model into an interacting lattice fermionic theory, which generalizes the one originally used by Schultz, Mattis and Lieb for the nearest neighbor Ising model. The interacting model is then analyzed by a multiscale method first proposed by Pinson and Spencer. If the lattice spacing is finite, then the correlations cannot be computed in closed form: rather, they are expressed in terms of infinite, convergent, power series in �. In the scaling limit, these infinite expansions radically simplify and reduce to the limiting energy correlations of the integrable Ising model, up to a finite renormalization of the parameters. Explicit bounds on the speed of convergence to the scaling limit are derived.
29885643
Anomalous Behavior in an Effective Model of Graphene with Coulomb Interactions
We analyze by exact Renormalization Group (RG) methods the infrared properties of an effective model of graphene, in which two-dimensional (2D) massless Dirac fermions propagating with a velocity smaller than the speed of light interact with a 3D quantum electromagnetic field. The fermionic correlation functions are written as series in the running coupling constants, with finite coefficients that admit explicit bounds at all orders. The implementation of Ward Identities in the RG scheme implies that the effective charges tend to a line of fixed points. At small momenta, the quasi-particle weight tends to zero and the effective Fermi velocity tends to a finite value. These limits are approached with a power law behavior characterized by non-universal critical exponents.
17981665
Absolute stability limit for relativistic charged spheres
We find an exact solution for the stability limit of relativistic charged spheres for the case of constant gravitational mass density and constant charge density. We argue that this provides an absolute stability limit for any relativistic charged sphere in which the gravitational mass density decreases with radius and the charge density increases with radius. We then provide a cruder absolute stability limit that applies to any charged sphere with a spherically symmetric mass and charge distribution. We give numerical results for all cases. In addition, we discuss the example of a neutral sphere surrounded by a thin, charged shell.