Signal for CP violation in B±→PPˉπ±B^{\pm} \to P {\bar P} \pi^{\pm} decays

We analyze the partial rate asymmetry in $B^{\pm} \to P {\bar P} \pi^{\pm}$ decays ($P = \pi^+, K ^+, \pi^0, \eta$) which results from the interference of the nonresonant decay amplitude and the resonant amplitude for $B^{\pm} \to \chi_{c0} \pi^{\pm}$ followed by the decay $\chi_{c0} \to P {\bar P}$. The CP violating phase $\gamma$ can be extracted from the measured asymmetry. We find that the partial rate asymmetry for $B^\pm \to \pi^+ \pi^- \pi^\pm$ is $0.33~sin \gamma$, while for $B^\pm \to K^+ K^-\pi^\pm$ it amounts $0.45~ sin \gamma$.Comment: 3 pages, latex, no figures, Talk given by S. Fajfer at the Hyperons, Charm and Beauty Hadrons, Genova, Italy, 30 June -3 July 1998, to appear as proceedings in Nucl. Phys.

High Temperature Symmetry Nonrestoration

This is a short review on the subject of symmetry nonrestoration at high temperature. Special emphasis is put on experimental discoveries and different theoretical mechanisms. At the end, possible cosmological applications are briefly mentioned.Comment: 7 pages; plenary talk at COSMO99, Trieste, Italy, Sep 27 - Oct 2, 1999; to appear in the proceedings; minor text changes and new references adde

Do internal symmetries get restored in hot and dense SUSY?

I offer some computational details and useful and concise formulae to calculate the effective potential for a general abelian supersymmetric model at high temperature and density. It will be shown that such cases are very good candidates for symmetry nonrestoration at high temperature, providing large densities are present.Comment: 3 pages, uses sprocl.sty, talk given at the International Workshop COSMO97 on Particle Physics and the Early Universe, 15-19 September 1997, Ambleside, Lake District, England, to be published in the Proceeding

Fermion mass relations in a supersymmetric SO(10) theory

Neutrino and charged fermion masses provide important constraints on grand unified theories. We illustrate this by focusing on a renormalizable, supersymmetric SO(10) theory proposed long ago, that recently attracted great interest in view of its minimality. We show how the nature of the light Higgs, which depends on the GUT scale fields, gets reflected on the precise predictions for fermion masses and mixings. We exemplify this on the case of dominant Type II see-saw, which gets severely constrained and is likely to fail.Comment: Based on talks given by G. Senjanovic in the plenary session of PASCOS05 Conference and by A. Melfo at the 2005 Gran Sasso Summer Institut

Charged-fermion masses in SO(10): analysis with scalars in 10+120

We consider the scenario in which the mass matrices of the charged fermions in the SO(10) Grand Unified Theory are generated exclusively by renormalizable Yukawa couplings to one $\mathbf{10} \oplus \mathbf{120}$ representation of scalars. We analyze, partly analytically and partly numerically, this scenario in the three-generations case. We demonstrate that it leads to unification of the $b$ and $\tau$ masses at the GUT scale. Testing this scenario against the mass values at the GUT scale, obtained from the renormalization-group evolution in the minimal SUSY extension of the Standard Model, we find that it is not viable: either the down-quark mass or the top-quark mass must be unrealistically low. If we include the CKM mixing angles in the test, then, in order that the mixing angles are well reproduced, either the top-quark mass or the strange-quark mass together with the down-quark mass must be very low. We conclude that, assuming a SUSY SO(10) scenario, charged-fermion mass generation based exclusively on one $\mathbf{10} \oplus \mathbf{120}$ representation of scalars is in contradiction with experiment.Comment: 18 pages, 3 eps figures; references added and corrected. We have also corrected an error in the code for the CKM matrix; the ensuing results are sharper at eliminating our scenario. In version 3 we have rectified a statement concerning Ref.[18] and added one reference and some phrases; final version for Nucl. Phys.

Pinning down the New Minimal Supersymmetric GUT

We show that generic ${\bf{10\oplus 120\oplus {\bar {126}}}}$ fits of fermion masses and mixings, using real superpotential couplings but with complex `Higgs fractions' leading to complex yukawa couplings in the effective MSSM, \emph{overdetermine}(by one extra constraint) the superpotential parameters of the New Minimal Supersymmetric SO(10) GUT\cite{nmsgut}. Therefore fits should properly be done by generating the 24 generic fit parameters from the 23 parameters of the NMSGUT superpotential, given $\tan\beta$ as input. Each numerical fit then \emph{fully specifies} the parameters of the NMSGUT. An analysis of all its implications, modulo only the residual uncertainty of supersymmetry breaking parameters, is now feasible. Thus the NMSGUT offers the possibility of a confrontation between the scale of gauge unification and the fit to fermion masses due to their extractable common dependence on the NMSGUT parameters. If and when `smoking gun' discoveries of Supersymmetry and Proton decay occur they will find the NMSGUT fully vulnerable to falsification.Comment: Minor changes : (1) Abstract : Phrase "complex Higgs doublet vevs" made more precise and a conjunction deleted (2)References : Umlauts inserted in an author nam