Large Solar Angle and Seesaw Mechanism a Bottom-up Perspective.pdf

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Large Solar Angle and Seesaw Mechanism a Bottom-up Perspective.pdf

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Large Solar Angle and Seesaw Mechanism a Bottom-up Perspective

a r X i v : h e p - p h / 0 2 0 2 0 8 6 v 3 1 6 M a y 2 0 0 2 SACLAY-T02/015 LARGE SOLAR ANGLE AND SEESAW MECHANISM: A BOTTOM-UP PERSPECTIVE Ste?phane Lavignac, Isabella Masina and Carlos A. Savoy ? Service de Physique The?orique ? , CEA-Saclay F-91191 Gif-sur-Yvette, France Abstract In addition to the well established large atmospheric angle, a large solar angle is probably present in the leptonic sector. In the context of the see-saw and by means of a bottom-up approach, we explore which patterns for the Dirac and Majorana right-handed mass matrices provide two large mixings in a robust way and with the minimal amount of tuning. Three favourite patterns emerge, which have a suggestive physical interpretation in terms of the role played by right-handed neutrinos: in both solar and atmospheric sectors, either a single or a pseudo-Dirac pair of right-handed neutrinos dominates. Each pattern gives rise to specific relations among the neutrino mixing angles and mass differences, which lead to testable constraints on Ue3. The connection with the rate of LFV charged lepton decays is also addressed. ?E-mails: lavignac@spht.saclay.cea.fr, masina@spht.saclay.cea.fr, savoy@spht.saclay.cea.fr. ?Laboratoire de la Direction des Sciences de la Matie?re du Commissariat a? l’E?nergie Atomique et Unite? de Recherche Associe?e au CNRS (URA 2306). 1 Introduction Combined results [1] from SNO [2] and Super-Kamiokande [3] suggest that another large mixing angle is present in the leptonic sector, in addition to the well established large mixing angle involved in atmospheric oscillations [4]. CHOOZ data [5], on the contrary, constrain the third angle θ13 to be smaller than the Cabibbo angle. Such an interestingly different pattern of lepton mixings as compared to quark mixings should be interpreted as the result of some specific property characterizing the physics beyond the Standard Model. The see-saw mechanism [6] has emerged as the most elegant explanation of the smallness of neu