By Daniel Treille (auth.), Maurice Lévy, Jean Iliopoulos, Raymond Gastmans, Jean-Marc Gérard (eds.)

Boson lots within the ordinary version; *D. Treille.* Non-Commutative Geometry and the interior house of Gauge Theories; *T. Krajewski.* best Quark Mass; *J.L. Rosner.* Unified Theories of Flavour with U(2) as Horizontal crew; *A. Romanino.* Heavy-Quark plenty; *M. Neubert.* Light-Quark lots; *H. Leutwyler.* susceptible Matrix parts at the Lattice: contemporary advancements in K-Physics; *M. Talevi.* Lepton Universality; *A.**Pich.* Neutrino Mass; *R.L. Mössbauer.* Gallex Neutrino Observations and Its Implications on sun Neutrino Spectroscopy; *M. Altmann.* Double Beta Decay Research-Present and destiny; *Y.G. Zdesenko.* Neutrino Mass types with an Abelian family members Symmetry; *S. Lavignac.* darkish subject; *J. Silk.* points of darkish subject Direct Detection; *L.**Baudis, et al.* lots past the normal version; *D. Delepne.* BPS States in Superstrings with Spontaneously damaged SUSY; *C. Kounnas.* Gaugino Condensation, Loop Corrections, and S-Duality Constraint; *K.**Saririan.* Sme New Salient good points of Deep-Inelastic Scattering at HERA; *J. Feltesse.* choice of the Gluon constitution functionality utilizing Tagged attraction occasions in Deep-Inelastic EP Collisions; *C. Adloff.* The constitution of the Proton Phenomenology; *L. Schoeffel.* Experimental Physics as LHC pp Collider; *J.-J. Aubert.* Index.

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**Masses of Fundamental Particles: Cargèse 1996**

Boson lots within the ordinary version; D. Treille. Non-Commutative Geometry and the inner area of Gauge Theories; T. Krajewski. best Quark Mass; J. L. Rosner. Unified Theories of Flavour with U(2) as Horizontal workforce; A. Romanino. Heavy-Quark lots; M. Neubert. Light-Quark plenty; H. Leutwyler. vulnerable Matrix components at the Lattice: contemporary advancements in K-Physics; M.

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**Example text**

3. Poincare Duality and Right-Handed Neutrinos Although the axiom of Poincare duality seems to be a rather abstract mathematical requirement, it has a deep physiscal significance in the standard model case. Indeed, it is at loggerheads with the addition of a right-handed Dirac neutrino to the standard model. To check that Poincare duality holds for the standard model, let us define three hermitian and minimal projections of A by Pt = {I2,0,0) P2 = {0,1,0) P3 = (O,O,e), where e is the elementary matrix of M3 (1C) whose only non vanishing entry e11 is set equal to 1.

Aj. e. e. the two previous representations are the fundamental ones. A by ( u1 , ... , UN) where u; E SO(n;). Then, it is easy matter to see that any spinor tPij E 1l;j carries two internal indices a E {1, ... , n;} and /3 E {1, ... , nj} and that under gauge transformation it becomes 37 where u'('~ and uf6 are the entries of the matrices u; E SO( n;) and Uj E SO( ni ). Since all spinors of 1i can be written as sums of such t/;;j, the fermionic representation is a direct sum of tensor products of two fundamental representations of the groups SO(n;).

Burkhardt and B. Pietrzyk, LEPP /EXP /95-Q5. S. Willenbrock, HEP-ph/9608418. A. , Plenary talk at the 1996 International Warsaw Conf. W. Hollik, hep-ph/96 02 380, G. Altarelli, CERN-TH/96-265, hep-ph/96 11 239. LEP EWWG/96-Q2. M. Demarteau, in Snowmass, June 95, 1996. G. ), CERN, Geneva {1996). J. Stirling, DTP /95/24, HEP-PH-9503320. T. A. Khoze, CERN-TH/7043-93. A. , in: Physics at LEP2, G. , CERN 96-o1, Vol. 2, CERN, Geneva {1996) p. 190. L. Lonnblad and T. Sjostrand, CERN-TH/95-17. A. , SCIPP-96-04, DESY 96-o21.