Loop level constraints on Seesaw neutrino mixing
Journal of High Energy Physics 2015.10 (2015): 130 reproduced by permission of Scuola Internazionale Superiore di Studi Avanzati (SISSA) ; We perform a detailed study of the importance of loop corrections when deriving bounds on heavy-active neutrino mixing in the context of general Seesaw mechanisms with extra heavy right-handed neutrinos. We find that, for low-scale Seesaws with an approximate B − L symmetry characterized by electroweak scale Majorana masses and large Yukawas, loop corrections could indeed become relevant in a small part of the parameter space. Previous results in the literature showed that a partial cancellation between these important loop corrections and the tree level contributions could relax some constraints and lead to qualitatively different results upon their inclusion. However, we find that this cancellation can only take place in presence of large violations of the B −L symmetry, that lead to acceptably large contributions to the light neutrino masses at loop level. Thus, when we restrict our analysis of the key observables to an approximate B − L symmetry so as to recover the correct values for neutrino masses, we always find loop corrections to be negligible in the regions of the parameter space preferred by data ; We are happy to acknowledge very illuminating discussions with Mattias Blennow, Belen Gavela, Stefano Rigolin and Alfredo Urbano. We also acknowledge financial support by the European Union through the ITN INVISIBLES (PITN-GA-2011-289442). EFM and JHG also acknowledge support from the EU through the FP7 Marie Curie Actions CIG NeuProbes (PCIG11-GA-2012-321582) and the Spanish MINECO through the "Ramon y Cajal" programme (RYC2011-07710), the project FPA2009-09017 and through the Centro de excelencia Severo Ochoa Program under grant SEV-2012-0249. This work was finalized during the stay of EFM at the Aspen Center for Physics, which is supported by the National Science Foundation grant PHY-1066293. This stay was also supported by a grant from the Simons Foundation. ML thanks the IFT UAM/CSIC for the kind hospitality during the early stages of this work. JLP also acknowledges support from the INFN program on Theoretical Astroparticle Physics (TASP) and the grant 2012CPPYP7 (Theoretical Astroparticle Physics) under the program PRIN 2012 funded by the Italian Ministry of Education, University and Research (MIUR)