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In the context of neutrino oscillation experiments, six different quasi-degenerate neutrino (QDN) mass models, which we parameterized recently, are found equally relevant. The present attempt tries to explore the possibilities for the discrimination of the six QDN models in the light of baryogenesis via leptogenesis. In this work we investigate all six models to predict observable baryon asymmetry. If leptogenesis is unflavoured or single flavoured, a significant difference is found. Then, only QD-NH-IA and QD-IH-IA are dominant. To get specific results, the choice of Dirac neutrino mass matrix as down-quark type is found most favourable. Keywords: quasi-degenerate neutrino mass models or QDN mass models, leptogenesis, baryogenesis, Dirac neutrino mass matrix, neutrino oscillation. Dans le cadre des experiences d'oscillations des neutrinos, nous avons parametre recemment et trouve pertinents six modeles differents de la masse de neutrinos quasi-degeneres (NQD/QDN). Nous cherchons ici a discriminer entre ces six modeles a la lumiere de la baryogenese via la leptogenese. Nous analysons donc la capacite des six modeles a predire l'asymetrie baryonique observee. Si la leptogenese est sans saveur ou a saveur unique, une difference significative apparait. Dans ce cas, seuls QD-NH-IA et QD-IH-IA sont acceptables. De facon a obtenir des resultats specifiques, le meilleur choix est celui de la matrice de masse de neutrino de Dirac comme type de quark down. [Traduit par la Redaction] Mots-cles: modeles de masse de neutrinos quasi-degeneres ou modeles de masse de NDQ, leptogenese, baryogenese, matrice de masse de neutrino de Dirac, oscillation des neutrinos., 1. Introduction The discovery of flavour conversion of solar, atmospheric, reactor, and accelerator neutrinos have provided evidence for the existence of neutrino oscillations. This implies that neutrinos have nonzero masses [...]

We construct the neutrino mass models with non-vanishing [[theta].sub.13] and estimate the baryon asymmetry of the universe and subsequently derive the constraints on the inflaton mass and the reheating temperature after inflation. The great discovery of this decade, the detection of Higgs boson of mass 126 GeV and nonzero [[theta].sub.13], makes leptogenesis all the more exciting. Besides, the neutrino mass model is compatible with inflaton mass [10.sup.10] -[10.sup.13] GeV corresponding to reheating temperature [T.sub.R] ~ [10.sup.5]-[10.sup.7] GeV to overcome the gravitino constraint in supersymmetry and big bang nucleosynthesis. When Daya Bay data [[theta].sub.13] [approximately equal to] 9[degrees] is included in the model, [tau] predominates over e and [mu]. contributions, which are indeed a good sign. It is shown that neutrino mass models for a successful leptogenesis can be accommodated for a variety of inflationary models with a rather wide ranging inflationary scale. Key words: neutrino mass models, leptogenesis, inflaton mass, reheating temperature. Nous construisons des modeles de neutrinos massifs pour une valeur non nulle de [[theta].sub.13] et estimons l'asymetrie baryonique de l'univers, pour subsequemment deriver les contraintes sur la masse de l'inflaton et la temperature de rechauffement apres l'inflation. Deux grandes decouvertes de la decennie, la detection du boson de Higgs a 126 GeV et la valeur non nulle de [[theta].sub.13], rendent la leptogenese encore plus interessante. De plus, le modele du neutrino massif est compatible avec une masse d'inflaton de [10.sup.10] - [10.sup.13] GeV, ce qui correspond a une temperature de rechauffement de [T.sub.R] ~ [10.sup.5] - [10.sup.7] GeV pour surmonter la contrainte du gravitino en supersymetrie et la nucleosynthese du big bang. Lorsque la donnee de la baie de Daya, [[theta].sub.13] [approximately equal to] 9[degrees], est introduite dans le modele, la predominance de la contribution de [tau] sur celles de e et [mu] est en effet un bon signe. Nous montrons que les modeles de neutrinos massifs dans une leptogenese couronnee de succes peuvent s'adapter a une variete de modeles inflationnistes avec un large domaine d'echelle inflationniste. [Traduit par la Redaction] Mots-cles: modeles de neutrinos massifs, leptogenese, masse de l'inflaton, temperature de rechauffement. PACS Nos.: 12.60.-i, 14.60.Pq, 14.60.St, 98.80.Bp., 1. Introduction The last unknown reactor mixing angle, non-vanishing [[theta].sub.13] (particularly given by Daya Bay [1] and RENO [2] as reported at the Neutrino 2012 Conference, Kyoto, Japan [3]), has [...]

In this paper the massive neutrinos model arising due to the Snyder noncommutative geometry, proposed recently by the author is partially developed. By straightforward calculation it is shown that the masses of the chiral left-and right-handed Weyl fields treated as parameters fixed by experiments, lead to the consistent physical picture of the noncommutative geometry, and consequently yield upper and lower energy limitations of a relativistic particle and exact integrability within the proposed model. This feature of the model in itself both defines and emphasizes its significance and possible usefulness for both theory as well as phenomenology for high energy physics and astrophysics. Basing on the model we discuss also the spacial case within the model describing ultra-relativistic neutrinos. Keywords: models of neutrino mass ; noncommutative geometry models ; Snyder noncommutative geometry ; energy renormalization ; exactly integrable systems ; Planck scale effects ; ultra-relativistic neutrinos ; Weyl equation ; Dirac equation, Introduction It was established recently by the author that the Dirac equation modified by the [gamma].sup.5]-term arising due to the Snyder noncommutative geometry model, yields the conventional Dirac theory with [...]